What type of graph is shown, and what is the growth factor?
linear function; growth factor of 2
linear function; growth factor of 4
exponential function; growth factor of 2
exponential function; growth factor of 4

Answers

Answer 1

The graph is a linear function with a growth factor of 4

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The graph has the shape of a straight line, so it is linear.

The graph starts at point (0, 0). It passes through point (1, 4).

slope = 4/1 = 4

The slope is 4. Growth factor is the same as slope for a linear function.

Hence, the graph is a linear function with a growth factor of 4

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What Type Of Graph Is Shown, And What Is The Growth Factor?linear Function; Growth Factor Of 2linear

Related Questions

half as big as last night’s crowd ( c = size of last night’s crowd )
verbal expression to algebraic expression

Answers

Answer:       (1/2)c

To write an algebraic expression, convert parts of the verbal expression.

What is an expression?

An expression is numbers or variables with operations performed between them. It does not have an equal sign.

Operations

Operations are ways we change numbers, usually to make them bigger or smaller. Examples of operations are multiplication, division, subtraction, addition, and square root.

Write an expression

The question says:     "half as big as last night’s crowd"

last night's crowd = c

'half as big' = 1/2

This is a proper fraction with the top number smaller than the bottom number. When we multiply 'c' with a proper fraction, the answer would get smaller.

Therefore, we can represent the problem using the expression  [tex]\frac{1}{2}c[/tex].

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Yvette is saving money to buy holiday gifts. She will save the money she makes at her part-time job. However, she borrowed $25 from her sister that she has to pay back before she can start saving.

This relationship can be shown by a linear function. Below is a table showing how many hours Yvette has worked (input), and how much money she's saved (output).

Hours Worked (x) Amount Saved (y)
0 -$25
4 $14
8 $53
12 $92
16 $131

Which of the following statements are true regarding the graph of this linear function? Select all that apply.

Group of answer choices:

A. The slope of the line, 25, is the amount of money she makes per hour of work.

B. The slope of the line, 9.75, is the amount of money she starts with having worked 0 hours.

C. The y-intercept of the line, 0, is the amount of money she starts with, since she's worked 0 hours.

D. The y-intercept of the line, -25, is the amount of money she starts with, since she owes her sister $25 and has worked 0 hours.

E. The slope of the lines, 9.75, is the amount of money she makes per hour of work.

Answers

The slope of the line is 9.75 and the y-intercept is -25.

What is a linear function?

Two distinct but related concepts are referred to by the phrase "linear function": A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.

Here, we have

Given: Yvette is saving money to buy holiday gifts. She will save the money she makes at her part-time job. However, she borrowed $25 from her sister which she has to pay back before she can start saving.

Let the linear function that models the given situation be y = ax + b. Here, a and b are constants.  We can use this information to find the values of a and b.

We put x = 0 and y = -25 into y = ax + b

b = -25

Substitute the value of b into y = ax + b

y = ax -25...(1)

Now we put x = 4 and y = 14 in equation(1) and we get

14 = 4a - 25

4a = 39

a = 9.75

Substitute the value of a in equation (1):

y = 9.75x - 25

Compare the above function with the slope-intercept form of a line y = mx + c

m = 9.75, c = -25

Hence, the slope of the line is 9.75 and the y-intercept is -25.

A. From the previous calculations, it is clear that the slope of the line is 9.75. Hence, the first statement is not true.

B. From the given table, it is known that person Y had started working with -25 dollars. Clearly, 9.75 is the slope of the line, but it does not represent the initial amount that person Y had at x = 0. Hence, the second statement is not true.

C.  From the previous calculations, it is clear that the y-intercept is -25, not 0. Hence, the third statement is not true.

D. From the previous calculations and the given table, it is clear that the y-intercept is -25, and it does represent the initial amount that person Y had at x = 0. Note that the y-intercept is negative as the person has borrowed 25 dollars from her sister. Hence, the fourth statement is true.

E. From the previous calculations, it is clear that the slope of the line is 9.75. It is known that the slope of a line represents the rate of change in the value of y with respect to x. So, it can be concluded that 9.75 represents the amount that person Y earns per hour. Hence, the fifth statement is true.

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Please help!!!
I will give brainly if it gives me the opportunity

Answers

The expression that will help to find the area of the given shaded region is 3x²+27x+51.

What is area?

Area is a measure of the amount of space inside a two-dimensional shape or surface. It is usually expressed in square units, such as square inches, square feet, or square meters. The area of a shape can be calculated by multiplying its length by its width, or by using a specific formula for that shape. For example, the area of a rectangle is found by multiplying its length and width, while the area of a circle is found by multiplying the square of its radius by pi (3.14). Area is an important concept in mathematics, and it is used in many real-world applications such as calculating the amount of paint needed to cover a wall, or the amount of land needed to build a house.

Here,

area of rectangle=(x+10)(2x+5)

area of square=(x+1)²

area of shaded region=area of rectangle-area of square

=(x+10)(2x+5)-(x+1)²

=2x²+20x+5x+50+x²+2x+1

=3x²+27x+51

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In the figure, the person is 5 ft tall and his shadow is 4 ft long. The tree's shadow is 22 ft long.

What is the height of the tree? Show all your work.

Answers

Answer:  The height of the tree is approximately 44 ft.

Step-by-step explanation:  Step 1: Calculate the ratio of the person's height to the length of their shadow.

Person's Height: 5 ft

Length of Shadow: 4 ft

Ratio: 5 ft/4 ft = 1.25

Step 2: Use the ratio to calculate the length of the tree's shadow.

Length of Tree's Shadow: 22 ft

Ratio: 1.25

Calculation: 22 ft/1.25 = 17.6 ft

Step 3: Multiply the length of the tree's shadow by the ratio to calculate the tree's height.

Length of Tree's Shadow: 17.6 ft

Ratio: 1.25

Calculation: 17.6 ft x 1.25 = 22 ft

Answer: The height of the tree is approximately 44 ft.

Which shows how to solve the equation 3/4 X = -6 for x in one step?

Answers

To solve the equation 3/4 x = -6 for x in one step, you can multiply both sides of the equation by 4/3:

3/4 x = -6

4/3 * (3/4 x) = 4/3 * (-6)

x = 8

Linda drove 567 miles in 9 hours.
At the same rate, how long would it take her to drive 693 miles?

Answers

The time taken by Linda to cover 693 miles is 11 hours.

What is rate of change?

Rate of change is the speed at which the variables changes with respect to time.

In 9 hours Linda drove 567 miles.

Miles travelled in 1 hour is,

[tex]speed=\frac{distance covered}{timetaken}[/tex]------(1)

         =[tex]\frac{567}{9}[/tex]

         = 63 miles per hour.

Linda drove 63 miles per hour.

She is travel in the same rate from the beginning.

Let  t be the time taken by her to travel 693 miles is,

By using (1),

[tex]speed=\frac{distance covered}{timetaken}[/tex]

[tex]t=\frac{693}{63}[/tex]

⇒t=11 hours.

Hence, the time taken by Linda to cover 693 miles is 11 hours.

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How do you find the limit of a function on a calculator?

Answers

Answer:

Step-by-step explanation:

The method for finding the limit of a function on a calculator depends on the specific calculator you are using. Here are the general steps for finding the limit of a function using a graphing calculator:

Enter the function: Most graphing calculators have a function editor where you can enter the function you want to find the limit of.

Set the limit: To find the limit of the function at a particular point, you need to specify the value at which you want to find the limit. This is done by entering the limit expression, for example: limit(f(x), x, a) where f(x) is the function, x is the variable, and a is the value at which you want to find the limit.

Evaluate the limit: After entering the limit expression, you can evaluate it by pressing the "enter" or "=" button. The calculator will then display the limit of the function at the specified value.

It's important to note that a graphing calculator can only estimate the limit of a function based on the accuracy of the graph, so the result may not be exact. Additionally, some functions may have limits that cannot be evaluated using a calculator. In these cases, you may need to use analytical methods to determine the limit.

Determine which of the following properties are always true by dragging them to the right:
-All four sides are congruent
-Opposite sides are congruent
-Opposite sides are parallel
All four angles are congruent
-Opposite angles are congruent
Diagonals are congruent
-Diagonals bisect each other
-Diagonals intersect at a right angle
diagonals bisect interior angles
-Sum of all angles equals 360

Answers

The properties that are always true are: Opposite sides are congruent. Opposite sides are parallel. Opposite angles are congruent. Sum of all angles equals 360. Diagonals bisect each other.

What are diagonals?

A diagonal in mathematics is a line that joins two solids or polygons whose vertices are not on the same edge. Generally speaking, a diagonal is a sloping or slanting line that joins the vertices of a form. The term "diagonal" refers to lateral forms with sides, edges, and corners.

The properties that are always true are:

Opposite sides are congruent.

Opposite sides are parallel.

Opposite angles are congruent.

Sum of all angles equals 360.

Diagonals bisect each other.

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aiden earns 16.00 per hour if he gets a 4% raise, what will be his new hourly wage

Answers

Aiden's new hourly wage would be 16.64 per hour.

Solution:

We have been given that Aiden's hourly wage is 16.00 per hour

So, If he gets a 4% raise then his hourly wage will be,

16* (100+ 4) / 100 = 16.64

Therefore, Aiden's new hourly wage will be 16.64 per hour.

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Solve for x. Figures are not necessarily drawn to scale.
M
X
9
N
7
Q
10.5
9

Answers

The value of x is given as follows:

x = 13.5.

What are similar triangles?

Similar triangles are triangles that share these two features presented as follows:

Congruent angle measures.Proportional side lengths.

The proportional relationship for the side lengths is given as follows:

9/x = 7/10.5.

Applying cross multiplication, the value of x is obtained as follows:

7x = 9 x 10.5

x = 9 x 10.5/7

x = 13.5.

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Please help! Make you brainliest and 15 points!

Answers

Answer:

b value is 3

rise = 3 run = -2

another point could be (2,0)

Step-by-step explanation:

Two polygons are similar if and only if there is a correspondence among their angles and among their sides so that all corresponding angles are congruent and all corresponding sides are proportional.

Which Postulate or Theorem is stated above?

Question 1 options:

Polygon Similarity Postulate


Polygon Congruence Postulate


Angle-Angle Similarity Postulate


Side-Side-Side Similarity Theorem


Side-Angle-Side Similarity Theorem

Answers

Angle-Angle Similarity Postulate states that  two polygons are similar if and only if they have two corresponding angles that are congruent.

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

Given that two polygons are similar if and only if there is a correspondence among their angles and among their sides so that all corresponding angles are congruent and all corresponding sides are proportional.

The statement above is the Angle-Angle Similarity Postulate, which states that two polygons are similar if and only if they have two corresponding angles that are congruent.

Hence, Angle-Angle Similarity Postulate states that  two polygons are similar if and only if they have two corresponding angles that are congruent.

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Answer:

Angle-Angle Similarity Postulate

Step-by-step explanation:

9tailsminato9.

in a triangle ABC, E and F are mid points of equal sides AB and AC of triangle ABC. Show that BF = CE

Answers

BF=CE in a triangle ABC, E and F are mid points of equal sides AB and AC of triangle ABC.

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given E and F are mid point of equal sides AB and AC of triangle ABC

In ΔABF and  ΔACE

AB=AC  (given )

∠A=∠A  (common angle )

The side FA is equal to EA

If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent

∴ΔABF≅ΔACE (SAS rule)

∴BF=CF ( Corresponding parts of Congruent triangles.)

Hence, in a triangle ABC, E and F are mid points of equal sides AB and AC of triangle ABC then BF=CE.

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A group of 10 Science Club students is on a field trip. That number of students represents
20% of the total number of students in the Science Club. What is the total number
of students in the Science Club?
A
B
D
20
30
50
80

Answers

The total number of students in the science club will be 50. The correct option is C.

What is the percentage?

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

If 10 students represent 20% of the total number of students in the Science Club, then 10 / 0.2 = 50 students is the total number.

Therefore, The total number of students in the science club will be 50. Then the correct option is C

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Wayne earns 5.3% simple interest for 5 years on $3000. How much interest does he earn on the account? I=prt
*
1 point
$883.86
$795
$3,883.86
$1,795

Answers

Answer: I would say it’s D. $1,795

Step-by-step explanation: why not pick D….

Hope this helps^^

The simple interest earned on $3000 after 5 years at 5.3% rate of interest is $795. The correct option is C .

Given,

Principal amount = $3000

Rate of interest = 5.3%

Time = 5 years

Now,

Simple interest = Principal × ROI ×Time/100

Substitute the values ,

Simple interest = 3000 * 5.3 * 5/ 100

Simple interest = 79500/100

Simple interest = $795

Total amount after 5 years = $3000 + $795

= $3795

Hence simple interest earned on $3000 at ROI of 5.3% after 5 years will be $795 .

Therefore option C is correct.

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how do i solve -(-8q-8.7)

Answers

On solving the expression, we get -> (8q + 8.7).

What are algebraic expressions in mathematics?

In mathematics, an expression or mathematical expression is a combination of terms, both constants and variables. For example -

2x + 4y + z

Given is the algebraic expression as -

- (- 8q - 8.7)

The given expression is -

- (- 8q - 8.7)

- (- 8q) - (- 8.7)

8q + 8.7

Therefore, on solving the expression {- (- 8q - 8.7)}, we get -> (8q + 8.7).

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What is 168 cm to ft inch ?

Answers

From the information given, 168 cm is approximately equal to 5 feet and 6.14 inches (rounded to two decimal places).

To convert centimeters to feet and inches, you can use the following conversion factors:

1 inch = 2.54 cm

1 foot = 12 inches

First, convert the length in centimeters to inches by dividing by 2.54:

168 cm ÷ 2.54 cm/inch = 66.14 inches

Next, convert the total number of inches to feet and inches. To do this, divide the total number of inches by 12 to get the number of whole feet, and then use the remainder as the number of inches.

66.14 inches ÷ 12 inches/foot = 5 feet with a remainder of 6.14 inches

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Please work the problem

Answers

Answer:

6x-7=3x-29

6x-3x=-29+7

3x=-23

x=-23/3

6x-7=8y+17

6(-23/3)-7=8y+17

-46-7=8y+17

8y+17+53=0

y=70/8

Y=8.75

ANS!!

How is matrix multiplication done in MATLAB?

Answers

The " * " operator is used in MATLAB to do matrix multiplication. In MATLAB, the matrix multiplication process is based on linear algebraic principles.

So the " * " operator is used in MATLAB to do matrix multiplication. In MATLAB, the matrix multiplication process is based on linear algebraic principles. In MATLAB, the standard syntax for multiplying matrices is:

When the dimensions of A and B satisfy the matrix multiplication rule, the css copy code C = A * B can be used. Particularly, the number of rows in matrix B and the number of columns in matrix A must match.

The resulting matrix C will be the same size in terms of both rows and columns as matrix A and matrix B. Here is an illustration of how matrix multiplication functions in MATLAB:

A = [1 2; 3 4];% Define matrix A B = [5 6; 7 8];% specify matrix.

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Can someone please help me with this question

Answers

40 degrees Is the answer.

Hope this helps mate.

PLs give brainliest

Answer:

40

80 + (16x-4) + (9x +4) =180

x=4

BAC = (9*4+4)

BAC = 40

There are 400 eighth graders at Wilson Middle SchoolIn the class president election, 296 students voted for Luke, 60 students voted Alice, and 44 students voted for Chris.who voted for luke

Answers

Answer: In the class president election at Wilson Middle School, 296 students voted for Luke.

Step-by-step explanation:

Select all the equations that are equivalent to this equation

Answers

The equations equivalent to the given equation 3x - 4 = 5 are A) 3x = 9, B) 3x - 4 + 4 = 5 + 4 and E) -4 = 5 - 3x.

What is an Equation?

An equation is defined as a mathematical statement containing two expressions on either sides which are connected with an equal to sign.

Either sides of an equation are called as left hand side and right hand side.

Given equation is 3x - 4 = 5.

Adding the number 4 on both sides, we get,

3x - 4 + 4 = 5 + 4, which is the equation B.

Simplifying,

3x = 9, which is the equation A.

x = 3

3x - 4 = 5

Subtracting 3x on both sides of the equation,

3x - 4 - 3x = 5 - 3x

-4 = 5 - 3x, which is the equation E.

Hence the equivalent equations are A, B and E.

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Your question is incomplete. Probably the correct question is as follows.

Select ALL the equations that are equivalent to the equation 3x - 4 = 5.

A) 3x = 9

B) 3x - 4 + 4 = 5 + 4

C) x - 4 = 2

D) x = 9

E) -4 = 5 - 3x

A rectangle has a length of 19 inches and a
vidth of 15 inches. What is the perimeter
of the rectangle?
The perimeter is
inches.

Answers

Answer:

Step-by-step explanation:

So when solving for the perimeter you need to add up all the sides. So 15 + 15 = 30 and 19 + 19 = 38. So 38 + 30 = 68 inches. So there is your answer. 68 inches is the perimeter.

In order to ride a
roller coaster at the theme park, riders
must be at least 52 inches tall. Write
an inequality to show the
safe heights for riders.

Answers

The inequality to represent the height of roller coaster is x≥52.

What are inequalities?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Given that. in order to ride a roller coaster at the theme park, riders must be at least 52 inches tall.

Let the height be x.

Now, x≥52

Therefore, the inequality is x≥52.

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Ayana is
1
1
2
1
2
1

1, start fraction, 1, divided by, 2, end fraction meters tall. Her little sister Chike is
1
1
4
1
4
1

1, start fraction, 1, divided by, 4, end fraction meters tall.

Answers

Ayana is 6/5 times as tall as Chike.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Height of Ayana = 1 1/2 meter

And, Height of Chike = 1 1/4 meter

Now, We can simply solve the above problem as follows;

Height of Ayana = 1(1/2) meters

We can also write it as;

= 3/2 meters

And, Height of Chike = 5/4 meters

Hence, To compare the given fractions we will first make the denominator equal by taking the LCM.

LCM of 2 and 4 = 8

Hence, Heights of Ayana can be rewritten as, 12/8 meters

And, Height of Chike can be rewritten as, 10/8

Now, Comparing the height of Ayana and Chike as;

= (12/8) ÷ (10/8)

= 12/10

= 6/5

Hence, Ayana is 6/5 times as tall as Chike.

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Complete question is this,

Ayana is 1(1/2) meters tall. Chike is 1(1/4) meters tall. Complete the comparison.

Ayana is ____ times as tall as chike.


Jack spends 1 1/2times as long on his homework as Jill.
Last week, Jill spent 6 3/4hours doing homework.
How long did Jack spend doing homework?

Answers

Answer:

10.125 hours

Step-by-step explanation:

We can convert 6 3/4 hours into minutes by multiplying it by 60

this equals 405. Jill spent 405 minutes doing homework.

Jack spent 1 1/2 times as long on his homework as Jill (1 1/2 is equivalent to 1.5)

We can multiply 1.5 x 405 and get 607.5 which means Jack spent 607.5 minutes doing homework

607.5 minutes is equivalent to 10.125 hours.

How much warmer is 92 than 40?

Answers

The temperature measure 92 is warmer than 40 by a measure of; 52.

By how much is 92 warmer than 40?

It follows from the task content that it is required to be determined, how much warmer is 92 than 40.

Since the greater temperature measure is; 92 while the lesser is 40.

It can be concluded that the temperature difference is; 92 - 40 = 52.

Ultimately, the measure 92 is 52 warmer than 40.

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Micaela bought a concert ticket online for $76. She used a coupon code to get a 20%
discount. The website also applied a 5% processing fee to the price after the discount.
How much did Micaela pay, in the end? Round to the nearest cent.

Answers

Micaela paid the amount of $63.8 in the end for a concert ticket.

How to calculate the percentage discount?

Subtract the final price from the original price then Divide this number by the original price. Finally, multiply the result by 100. You've obtained a discount in percentages.

Reformulate the basic equation to:

% discount = 100 × (original price - discounted price) / original price

To calculate the final price that Micaela paid, we need to apply the discount and the processing fee to the original price of the ticket.

The discount is 20% of the original price of $76, which is:

discount = 0.2 x $76 = $15.20

So Micaela paid:

price after discount = $76 - $15.20 = $60.80

Now we need to apply the processing fee. The processing fee is 5% of the price after the discount, which is:

processing fee = 0.05 x $60.80 = $3.04

So the final price that Micaela paid is:

final price = $60.80 + $3.04 = $63.84

Therefore, she paid $63.8 in the end, rounded to the nearest cent.

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Find an expression that represents the difference when (-4x+4) is subtracted from (-9x-7) in simplest terms.

Answers

The required simplified expression result of (-4x+4) is subtracted from (-9x-7) is -5x -11.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

The expression (-9x-7) - (-4x+4) can be simplified as follows:
First, we'll combine the like terms:

-9x - 7 - (-4x + 4)

Next, we'll use the distributive property to simplify the right side:
-9x - 7 - (-4x) + 4

Combining like terms on the right side:
-9x - 7 + 4x - 4

Combining the remaining terms:
-5x -11

Thus, the requried simplified expression is given as -5x-11.

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3. CONSTRUCTION
The diagram shows an
example of the Pratt truss used in bridge
construction.
Find m/1.

Answers

The angle ∠1 is 55 degrees.

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given that  diagram shows an example of the Pratt truss used in bridge

construction.

We need to find the angle ∠1.

The given triangle is a right angle triangle which has one angle 90 degrees.

The adjacent angle to 145 degrees be angle 2.

145+∠2=180

∠2=180-145

∠2=35 degrees.

We know that the sum of three angles is 180 degrees

So ∠1+35+90=180

∠1+125=180

Subtract 125 from both sides

∠1=180-125

∠1=55

Hence, the measure ∠1 is 55 degrees.

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Other Questions
what will happen if the variable total has the value 5 when the following code is executed? if total > 8: print('collywobbles')A. the word collywobbles is not printed and processing continues. B. the word collywobbles is not printed, but an error message is. C. the word collywobbles is not printed and an exception is thrown. D. the word collywobbles is printed and then processing continues. what is the main massage of their eyes were watching god film HELPPP PLEASE WILL GIVE BRAINLIEST Which statement describes the most likely message of this passage?At a party, Katerina sees that Tanya is sitting quietly on the couch and not talking to anyone. Katerina asks Tanya if shed like to help her serve the food. Tanya agrees, and they start talking as they work. Soon, Tanya is chatting and laughing with the other guests, and they all agree to meet again the following weekend. Years later, Tanya says that she has never had such a good group of friends. A. Sometimes people just need a little support to be able to flourish.B. People should only be asked to help if theyve offered to first.C. Everyone has moments at parties when they dont know what to say.D. Being shy is a problem that follows people throughout their lives. Explain the multiplicities between the following two classes. Cash Receipt (1..*) ---- (1..1) CustomerThe (1..1) means each cash receipt is from one and only one customer. What is the certifying organization for automotive service technicians Find the domain of the rational expression: x-5/3x-6 A. All real numbers except 0 B. All real numbers except 2 C. All real numbers except 6 D. All real numbers except 5 Fill The Blank! i am going for a walk. this statement is an example of _______. moreover, this concept is seen as the self as a subject- an active, creative, spontaneous person. Who is the name of the lakota man who shot and killed lt. edward casey was let free at trial because the judge considered his actions non-murderous because a state of war existed between the u.s. and the lakota. consider the statement: for all integers a and b, if a is even and b is a multiple of 3, then ab is a multiple of 6. (a) prove the statement. what sort of proof are you using? (b) state the converse. is it true? prove or disprove. Collin did the work to see if 10 is a solution to the equation StartFraction r Over 4 EndFraction = 2.5.StartFraction r Over 4 EndFraction = 2.5. StartFraction 10 Over 4 EndFraction = 2.5. 2.5 = 2.5.Is 10 a solution to the equation?Yes, because 10 and 4 are both even.Yes, because if you substitute 10 for r in the equation and simplify, you find that the equation is true.No, because 10 is not divisable by 4.No, because if you substitute 10 for r in the equation and simplify, you find that the equation is not true. What is the acetic acid constanta (ka)? _______ proteins are embedded in biological membranes, whereas _______ proteins are associated with surface regions of biological membranes. according to Benjamin Franklin, how would U.S. history and U.S. government be different if the Albany Plan of Union was adopted by its member colonies and King George II in 1754 What is the NSPE code of ethics? In the exposition of a story, we learn a little about the setting, characters, and the basic situation. In the first two stanzas of "Lochinvar" what are some of the main character's traits that we learn about in the exposition?Oh, young Lochinvar is come out of the West;Through all the wide Border his steed was the best;And save his good broadsword he weapons had none;He rode all unarmed, and he rode all alone.So faithful in love, and so dauntless in war,There never was knight like the young Lochinvar.He stayed not for brake, and he stopped not for stone;He swam the Eske river where ford there was none;But, ere he alighted at Netherby gate,The bride had consented, the gallant came late:For a laggard in love, and a dastard in war,Was to wed the fair Ellen of brave Lochinvar.Question 3 options:Faithful, determined, and braveLonely, scared, and shyRotten, slacker, and sneakyAdventurous, unarmed, and angry large doses of vitamin c would shorten the length of time it takes to recover from a cold. three thousand volunteers were split into two groups. for two weeks, members of group a took 3,000 mg of vitamin c daily. group b received 3,000 mg of a placebo. at the end of the two-week period, the researchers inserted live cold viruses directly into the noses of all the volunteers. the volunteers in both group a and b continued to take their daily pills. all the volunteers got colds, and there was no significant difference in the length of time the colds lasted. to have confidence that the results of the experiment were valid, you'd also want to know ___group of answer choices A. whether the volunteers all worked for the same company. B. what the volunteers ate during the experiment. C. the genders of the volunteers. D. whether any volunteers had colds at the start of the experiment. E. whether the volunteers exercised daily. Which substances leave the blood by diffusing directly through the plasma membrane of endothelial cells?a. oxygen b. Sterold hormones c. Carbon dioxide d. Electrolytes d. Large proteins e. Glucose when discussing investing with your client, all of the following would be considered recommendations except How is the poster effective in achieving its purpose?