ST is parallel to RU in the figure. What is m<3 if m<1 =49

ST Is Parallel To RU In The Figure. What Is M&lt;3 If M&lt;1 =49

Answers

Answer 1

Answer:

49

Step-by-step explanation:

M<1 = M<2 - Corresponding angles are congruent

M<2 = M<3 - Vertical angles

Answer 2

Answer:

  6)  49°

  7)  30°

Step-by-step explanation:

6)

Where a transversal crosses parallel lines, alternate exterior angles are congruent. Angles 1 and 3 are alternate exterior angles, hence congruent.

  ∠3 = 49° . . . . . . . same as ∠1

__

7)

Angles 5x and x are a linear pair, so supplementary. Angle 'a' corresponds to angle x, so is congruent to it.

  5x +x = 180°

  x = 180°/6 = 30°

  a = 30° . . . . . . . . same as x


Related Questions

HELP ME QUICK PLSSSSSSSS I NEED HELP

Answers

Answer:

1.b

2.c

3.a

4.a

5.d

Step-by-step explanation:

yan na po sana maka tolong

Wes mixed different juices to make fruit punch. He filled one-half of the punch bowl with orange juice. Then he filled half of the remaining space with grape juice. Finally, he filled the rest of the punch bowl with 300 mL of cherry juice.

How many liters of fruit punch did Wes make?

Answers

Answer:

1.2 L

Step-by-step explanation:

3/4 of the bowl was full wes then filled the bowl with 300 ml so 300+300+600=1,200 = 1.2L

PLEASE HELP! DUE TODAY! TY!
In the figure, line segment AB is tangent to the circle at point A. Find the length of line segment AB.

Work:

AB =

Answers

Answer: 12 inches

Step-by-step explanation:

1. Which of the following is an example of a system of equations?
x^2 + 5y + 10 = 14
x - y = 12

x+y=12
x – 3y > 23

3x^1/3+ 2y < 100
x+y=12

3x^1/3 + 5y = -19
x + 5y < 55

Answers

Answer: (1)

Step-by-step explanation:

A system of equations must have two equations. The first option is the only one that satisfies this.

Ratio of boys to girls

Answers

Answer:

→Boys=6

→Girls=14

Step-by-step explanation:

[tex]Solution,\\\\Ratio\:of\:boys\:to\:girls=3:7\\\\Total\:students=20\\\\Let,\\\\\hookrightarrow Boys=3x\\\\\hookrightarrow Girls=7x\\\\Now\:we\: have,\\\\\hookrightarrow 3x+7x=20\\\\\hookrightarrow 10x=20\\\\\hookrightarrow x=20/10=2\\\\Again,\\\\\hookrightarrow Boys=3x=3\times2=6\\\\\hookrightarrow Girls=7x=7\times2=14[/tex]

please can someone help me answer the question in the picture

Answers

(X+3)(x+7) X+7
————— = ——
(X-3)(x+3) X-3

Suppose $a(x) = 3x - 7$ and $b(x) = 2 - x^3$. What is the value of $a(b(3)) - b(a(3))$?

Answers

Answer:

-76

Step-by-step explanation:

b(3)=2-3^3 = -25.

So a(b(3))=a(-25)=3(-25)-7=-82.

a(3)=3(3)-7=2.

So b(a(3))=2-2^3 = -6.

Therefore, the value of the desired expression is -82-(-6)=-76

The value of the required function [tex]a(b(3)) - b(a(3))[/tex] is (-88).

What is a function?

"A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B. A relation f from a set A (the domain of the function) to another set B (the co-domain of the function) is called a function in math. f = {(a,b)| for all a ∈ A, b ∈ B}

A relation is said to be a function if every element of set A has one and only one image in set B.

A function is a relation from a non-empty set B such that the domain of a function is A and no two distinct ordered pairs in f have the same first element."

Given two functions are:

[tex]a(x) = 3x - 7\\b(x) = 2 - x^{3}[/tex]

When the value of 'x' is 3, then the values of the given two functions are:

[tex]a(3) \\= 3x - 7\\= 3(3)-7\\= 9-7\\= 2[/tex]

[tex]b(3)\\= 2 - x^{3}\\= 2-(3)^{3}\\= 2-27\\= -25[/tex]

Now the value of the required function is:

[tex]a(b(3)) - b(a(3))\\= a(-25)-b(2)\\= [3(-25)-7]-[2-2^{3}]\\= (-75-7)-(2-8)\\= -82-6\\= -88[/tex]

Therefore, the value of the required function is (-88).

Learn more about a function here:

https://brainly.com/question/12431044

#SPJ2

Find the area of the trapezoid

Answers

A=a+b
2h=42+36
2·24=936

Please help, I and I also need a thorough explanation, I don't understand this

Answers

Answer:

See below ↓

Step-by-step explanation:

Solve for x.

2.1.1

px + qx = ax (p + q) = ax = a / (p + q)

2.1.2

2x² - 5x + 2 = 02x² - 4x - x + 2 = 02x(x - 2) - 1(x - 2) = 0(2x - 1)(x - 2) = 0x = 1/2, 2

2.1.3

[tex](\frac{1}{2} )^{3x+1}[/tex] = 32[tex]2x^{-3x-1} = 2^{5}[/tex]-3x - 1 = 5-3x = 6x = -2

I can only answer 3 questions together at maximum so kindly post the rest of your questions 3 at a time separately.

Hope this helped~

Answer:

x = a/(p+q)

x = 2 or x = 1/2

x = -2

m≤ -1 or m<4

-1 , 0 , 1 , 2 and 3.....................since : -1 ≥ m < 4.

x = -3 and y = 9.

Step-by-step explanation:

The first one is just making x to be the subject of the formula by factorising p and q. Then dividing both sides by (p + q).

px + qx = a........................... x (p + q) = a............divide sides by ( p+q) to get the expression.

Solve quadratically for the second one.

For the third one, apply the laws of indices to work out.

32 = ( 1/2)^-5..............so, ( 1/2)^3x + 1   = ( 1/2)^-5.......Drop the base numbers since they are common.

3x + 1 = -5.........then solve to get x as -2.

For the fourth one, we solve for m by separating it into 2.

the first one is: -11 ≤ 3m - 8.

the second one: 3m - 8 < 4

then solve like a normal equation but maintain the inequality signs.

For the integral values, you'll get them from the answers because the answers are a range

The last one you solve simultaneously either by substitution or elimination method.

HOPE THIS HELPS

Diedra has $20 to spend. Can she buy shorts that cost $18.50?

Answers

Answer:

yes she can

Step-by-step explanation:

yes she can because $20 is great than $18.50

ofcourse she can , the change will be $1.50

does 20, 40, 30 form a right triangle

Answers

Answer: No

Step-by-step explanation: In order for a triangle to be right, the first number and second number has to be smaller than the middle number.

20+30= 50

50>40

therefore 20,40,30 can not be a right triangle

Call the 3 sides a,b,c respectively. (a=20; b=30; c=40)

To form a right triangle with 3 lengths, they must satisfied the equation : [tex]a^{2} +b^{2} =c^{2}[/tex] (aka pythagorean theorem)

Replace numbers : [tex]20^{2} +30^{2} =40^{2}\\ 400 + 900 = 1600 (false)[/tex]

-> These lengths do not form a right triangle.

The diagram shown is two intersecting lines. The measure of 5 is 47°.

Answers

a. Using the vertical angles theorem, m∠7 = 47°.

b. Based on the definition of linear pair, the equation that can be used to solve for x is: 2x - 5 + 47 = 180.

c. x = 69

What is a Linear Pair?

A linear pair is two angles whose sum equals 180°.

Given the image, where:

m∠5 = 47°

a. ∠5 and ∠7 are vertical angles. Since verticl angles are congurent, therefore:

m∠7 = m∠5 = 47°

m∠7 = 47°

b. m∠6 = (2x - 5)°

m∠6 + m∠5 = 180° (linear pair)

Substitute

2x - 5 + 47 = 180 (equation that can be used to solve x)

c. 2x - 5 + 47 = 180

2x + 42 = 180

2x = 180 - 42

2x = 138

x = 138/2

x = 69

Learn more about linear pair on:

https://brainly.com/question/3768841

Help pls urgent :) plssss

Answers

Answer:

Fraction form: 1/8

Decimal form: 0.125

Step-by-step explanation:

Slope of line = [-6 - (-8)]/[8 - ( -8)]

= [-6 + 8]/[8 + 8]

= 2/16

= 1/8

= 0.125

Goal: create a budget meal for a day
role: you are an assistant cook in karinderya.
audience: teacher, friend, neighbours and loved one.
situation: the store manager give you task to prepare a budget meal for the day,
consisting 1 rice, 1 viand, 1 fruit and 1 drink.

available food: rice (fried and plain), viand (chicken meat, pork meat
and vegetables), dessert fruit (banana and apple) and juice (pineapple juice
and mango juice)
product: the expected output must be the following:
1. customer financial capability in ordering food
2. create at least three combination of your budget meal and put a necessary
amount.

using the combination formula

Answers

My budget meal for a day will be targeted towards people who wants (weight loss) and such I will prepare a food menu of plain rice, vegetables, apple fruit and a cup of mango juice.

The  customer financial capability in ordering food is very simple as it is targeted towards weight loss and as such, the rice is plain along with vegetables and as such, it will be affordable.

The three combination of my budget meal are:

Plain rice and vegetable = $3.Plain rice and an apple fruit = $ 2.5.Plain rice and a cup of mango Juice= $ 2.

What food budget?

A food budget is known to be the purpose a person has so as to be able to spend on food groceries.

Note that food budget is one that often includes any items a person need to buy more, such as meat, fruit and vegetables, etc.

Learn more about budget meal  from

https://brainly.com/question/25939288

what is the height of the prism?

Answers

Answer:

option 1

Step-by-step explanation:

[tex]x - 3 + \frac{7 x- 9}{ {x}^{2} - 2 } [/tex]

your required answer

A triangle has two sides of length 1 and 8. What is the smallest possible whole-number length for the third side?

Answers

Answer:

1/8 is the smallest possible whole number length for the third side

HELP ME PLEASE
PRETTY PLEASEEEEEEEEEEE

Answers

Answer:

4/5

Step-by-step explanation:

Here is how to solve:

We start with a term called Rise over Run. We rise up 4. We then will run to the right 5. We have a slope of 4/5x. If the line is going up, then it will be a positive slope. If the line is going down., then it will be a negative slope. So, the line is going up, so it would be a positive 4/5x

Answer:

Positive slope or (2,3)_(-3,-2)

Step-by-step explanation:

I don't find your question very clear, but I have two possible answers for you.

Positive slope, the type/name of the slope.

(2,3)_(-3,-2), the coordinates.

I hope this answers your question ^^

Is 6km bigger then 54,000mm?

Answers

Answer:

Yes

Step-by-step explanation:

To answer this question, we will need to know how many millimeters are in a kilometer.

1 km = 1,000,000 mm

Therefore, 6km is WAY bigger than 54,000 mm

I NEED HELP PLEASE ILL GIVE BRAINLIEST


WHICH GRAPH SHOWS Y = -6

Answers

Answer:B

Step-by-step explanation:

Answer: B

Step-by-step explanation:

The line on B is at the Y coordinate -6.

Horizontal is the X

Vertical is the Y

What is the partial fraction decomposition of StartFraction 6 x + 17 Over (x + 1) squared EndFraction?

Answers

Answer:

6/(x + 1) + 11/(x + 1)^2.

Step-by-step explanation:

6x + 17 / (x +1)^2 =  A / (x + 1) + B /(x + 1)^2

Multiply through by (x + 1)^2:

6x + 17 =  A(x + 1) + B

Let x = -1, then:

-6 + 17 = 0 + b

So B = 11.

Let  x = 1:

6 + 17 = A(1+1) + 11

23 = 2A + 11

A = (23-11)/ 2

A = 6.

Please help to solve this question

Answers

Answer:

Step-by-step explanation:

if y=5x-3, find the value of y when x=-2

Answers

Answer:

y = -13  

Step-by-step explanation:

y = 5(-2) - 3

y= -10 -3

y = -13  

Step-by-step explanation:

or, y = 5x - 3

or, y = 5 (-2) - 3

or, y = -10 - 3

y = -13

Solve this for me pls

Answers

Answer:don’t delete my comment I need more points lol

Step-by-step explanation:

Find the scale of the 2 known sides:

40/8 = 5


the larger shape is 5 times the size.

Multiply the known sides by 5:

X = 5 *5 = 25


x = 25

Solve for x: -1 < x + 3 < 5

Answers

Answer:

- 4 < x < 2

Step-by-step explanation:

- 1 < x + 3 < 5  ( subtract 3 from each of the 3 intervals )

- 4 < x < 2

꧁⫷ᴀɴsᴡᴇʀ⫸꧂

-1 < x + 3 < 5

Then subtract 3 from each of the 3 intervals

- 4 < x < 2

#CarryOnLearning

#LibreAngMatuto

When two lines intersect, are all the angles formed equal?

Answers

Answer: No

Step-by-step explanation:

If we don't know if the lines are parallel, we cannot conclude the angles are equal.

When two lines are parallel lines are intersected by a transversal, the corresponding angles formed are always equal in measure, and when the lines are not perpendicular the measure of the angle is not equal.

What are intersecting lines?

The intersecting lines (two or more) always meet at a single point. The intersecting lines can cross each other at any angle.

When two lines intersect each other, the two opposite pairs of angles formed are called vertically opposite angles.

If two parallel lines are intersected by a transversal, the corresponding angles formed are always equal in measure.

If the corresponding angles formed at the two intersections are congruent, the two lines will then be considered parallel.

The pair of corresponding angles always lies on the same side of a transversal.

Read more about intersecting lines here;

https://brainly.com/question/13954458

#SPJ4

Which equation can be used to find A, the area of the parallelogram shown?

Answers

Answer A

Calculate it correctly you will get it

Answer:

c

Step-by-step explanation:

the area of a parallelogram is given by base ×height

in this case 10×5

An angle measures 72.6° less than the measure of its complementary angle. What is the measure of each angle?

Answers

Answer:

Step-by-step explanation:

If the area of a parallelogram is 5 ⅖ ft. height of the parallelogram is 2 ⅖ ft, what is the base of the parallelogram

Answers

Answer:

3 2/5

Step-by-step explanation:

.

Find the balance in the account after the given period
$3000 principal earning 5% compounded annually, 8 years
i really need help im confused

Answers

Answer:

$1200

Step-by-step explanation:

5% of $3000 = $150

multiply 8 by $150 = $1200

In rectangle GRAM below GA =4×+17 and MR= 7x-4 find the value of x and the lenghts of GA MR

Answers

Answer: x=7, GA=MR=14

Step-by-step explanation:

Other Questions
Pedestrians have ______. A. to get out of your way when youre driving B. no right to use the Highway Transportation System C. a right to use the Highway Transport System D. to be on the sidewalk or crosswalk at all times An adult takes 400mg of vitamin c.Each hour, the amount of vitamin c inthe person's system decreases by about29%. How much vitamin c is left after 6hours? When reading a non-fiction text about a person in history, what question can you ask yourself to make the text more clear or easy to understand?A. How did this person get to be successful?B. What ideas or events can I associate with this person?C. What is this person doing now?D. What is this person's favorite color? HELP ASAP WILL GIVE BRAINLIEST!!! Sort the tiles to indicate the advantages and disadvantages of the U.S. free market system.1. Competition can lead toinequality of income and wealth.2. Competition leads to betterproducts for consumers.3. Economic rewards encourageworker productivity.4. The possibility of making a profitencourages entrepreneursto start businesses.5. Government's limited role can alloweconomic downturns to become worse.Label each one disadvantage or advantage, correctly. What choices do artists make when they create landscape paintings? What is the impact of these choices? From which structures do oxygen molecules move from the lungs to the blood?. Which goal do all environmental regulations for industry serve?to protect people and the environment to limit industrial activities in all industriesto prevent deforestation by lumber companies to reduce greenhouse gas emissions Solve and show your work for each question.(a) What is expressed as a fraction in simplest form?(b) What is expressed as a fraction in simplest form?(c) What is expressed as a fraction in simplest form? HELP ASAP 50 POINTS ITS GEOMENTRY An increase in government purchases will increase aggregate demand because:. (Whatpressure does waterexert at the bottom ofthe container in theWater(1000 kg/m)5madjoining figure?) (g=9.8 m/s2) 4:00 am to 8:00 is how many hours If you could pick one of Lin-Manuel Miranda's projects to watch, what would you pick and why? Plss shelp me will give brainliest no links or i will report you 1621Jade works as a decorator.She is paid 22.80 per hour for the first 35 hours she works each week.She is paid 15% more per hour for each extra hour she works.One week, Jade was paid 981.54In total, how many hours did she work that week?You must show your working. FASTEST ANSWER WITH STESP FOR PROOF GETS BRAINLIEST find the total surface area of this triangular prism answer quick Which option best characterizes the following passage in regard to recent developments in agriculture?Combined investments helped discover and develop farming equipment, which resulted in higher yields and the need for fewer farming personnel.Farms provide fewer jobs compared to agricultural research and development.Farms provide fewer jobs compared to agricultural research and development.Farming equipment use eventually turns farms into mass-producing factories.Farming equipment use eventually turns farms into mass-producing factories.Farming equipment is more expensive now than it was fifty years ago.Farming equipment is more expensive now than it was fifty years ago.Farms now produce more crops, creating a need for more farm workers. Reflect the shape A in the line x=1What are the coordinates of the vertices of the image?