Find the values of a, b and c.

Find The Values Of A, B And C.

Answers

Answer 1

Answer:

∠a= 65°, ∠b= 115°, ∠c= 25°

Step-by-step explanation:

The sum of the angles in a triangle is 180°. This is abbreviated to '∠ sum of ∆'.

∠c +55° +60° +40°= 180° (∠ sum of ∆PQR)

∠c +155°= 180°

∠c= 180° -155°

∠c= 25°

∠a +60° +55°= 180° (∠ sum of ∆PQS)

∠a +115°= 180°

∠a= 180° -115°

∠a= 65°

The sum of the angles on a straight line is 180°. It's abbreviation is 'adj. ∠s on a str. line'.

∠b +∠a= 180° (adj. ∠s on a str. line)

∠b +65°= 180°

∠b= 180° -65°

∠b= 115°


Related Questions

Write an equation standard form for the line that goes through the following points (-3,-2), (5,3)

Answers

Answer:

Your answer is: y = 5/8x -1/8

Step-by-step explanation:

Hope this helped : )

Work out the bearing of B from A. I really need help with this.

Answers

Answer:

bearing of B from A is 245°

Step-by-step explanation:

the bearing of B from A is the measure of the clockwise angle from the northline N to B , that is

360° - 115° = 245°

Which values in this data set are outliers? 48, 52, 56, 64, 61, 20, 48, 51, 58, 48, 78 Select Outlier or Not Outlier for each value. Value Outlier Not Outlier 20 Outlier – 20 Not Outlier – 20 48 Outlier – 48 Not Outlier – 48 64 Outlier – 64 Not Outlier – 64 78 Outlier – 78 Not Outlier – 78.

Answers

Outlier is a data point that is different from the rest of the data. The outliers in the dataset will be 20 and 78.

What is a Scatter plot?

A scatter plot is also known as a scatter chart, a scatter graph that uses dots to represent values for two different numeric variables. Each dot on the graph represents particular data on both axes.

What is an Outlier?

An outlier is a data point that is different from the rest of the data.

If we keenly observe the data set that is given to us, 48, 52, 56, 64, 61, 20, 48, 51, 58, 48, 78; the range of the data set that is given to us lies mostly between the 48 to 68, therefore, the data point that is the outlier for this data set are 20 and 78.

Hence, the outliers in the dataset will be 20 and 78.

Learn more about Outlier:

https://brainly.com/question/9933184

Answer:

Only 20 is an outlier.

Step-by-step explanation:

Took the test.

PLEASE HELP,I AM BEING TIMED!!
Measure the angle of 1

Options: 100
90
10
60

Answers

Answer:

angle of 1 will be 60°

Step-by-step explanation:

we know vertical opposite angle are equall so angle 1 = 60°

Convert 530000 milligrams into kilograms.
*Note: you must use these exact conversion factors to get this question right.
1 pound (lb) = 16 ounces (oz)
=
1 kilogram (kg) = 1000 grams (g)
1 ton (ton) = 2000 pounds (lb)
1 ounce (oz) = 28.35 grams (g)
1 gram (g) = 1000 milligrams (mg) 1 pound (lb) = 0.454 kilograms (kg)

Answers

Answer:

I believe it is 0.53 kilograms

Step-by-step explanation:

530,000 milligrams = 530 grams which is 0.53 of a kilogram. Hope this helps :)

7
Write the equation of a line that is perpendicular to y = -3 + 6 and that passes through the point
(2,-6).

Answers

Answer:

Perpendicular lines are lines that are at right angles to each other.

For perpendicular lines, the product of their slopes is -1.

[tex]\implies m_2=\dfrac{-1}{m_1}[/tex]

(where [tex]m_1[/tex] and [tex]m_2[/tex] are the slopes of perpendicular lines)

The slope of the given equation is -3.  Therefore, to find the slope of the line that is perpendicular:

[tex]m_2=\dfrac{-1}{-3}=\dfrac13[/tex]

Now we have the slope, we can use the point-slope form of a linear equation with [tex]m=\dfrac13[/tex] and [tex](x_1,y_1)=(2,-6)[/tex] to find the equation of the perpendicular line:

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-(-6)=\dfrac13(x-2)[/tex]

[tex]\implies y+6=\dfrac13x-\dfrac23[/tex]

[tex]\implies y=\dfrac13x-\dfrac{20}3[/tex]

Find the area of the regular figure below:

Answers

Answer:

82.82in^2

Step-by-step explanation:

Find the mean from the given data: 2, 5, 7, 3, 8, 9, 10,4​

Answers

Add them all up and divide by how many there are.

2 + 5 + 7 + 3 + 8 + 9 + 10 + 4 = 48

48/8 = 6

Mean is 6

Answer:

6

Step-by-step explanation:

[tex] \hookrightarrow \: number(n) = 8 \\ \hookrightarrow \: sum( \sum \: x) = 2 + 5 + 7 + 3 + 8 + 9 + 10 + 4 = 48 \\\hookrightarrow \: mean = \frac{ \sum \: x}{n} \\ \\\hookrightarrow \: mean = \frac{48}{8} = 6[/tex]

7th grade.
reasoning about equations and tape diagrams. don't do number 6

Answers

Answer:

4.  x=3

5. 27

Step-by-step explanation:

4.  6(x+1) = 24,  because you work the equation backwards and the opposite way,  24/6 then - 1

5. put the numbers from lowest to highest temperature

9'c,  -3'c,  22'c,  -5'c,  11'c,  15'c

-5'c,  -3'c,  9'c,  11'c, 15'c,  22'c

range - is the highest number - lowest

22--5 =22+5 , therefore range is 27

Find the value of abc if a = 4, b=-2 and c= -1.

Answers

Answer:

4+2+1=7 Make me brainlist please

$34.97 is what percent of $86.08?

Round your answer to the nearest whole number and include a percent sign (%).

Answers

Answer:

41%

Step-by-step explanation:

Simplify the equation
3+7x-(2+9x)

Answers

3 + 7x - (2 + 9x )

3 + 7x - 2 -9x

1-2x

Answer:

1-2x

Step-by-step explanation:

3+7x-(2-9x)

(if there's a minus in front of parenthesis then you have to change the sign in the parenthesis)

3+7x-2-9x(take out from parenthesis)

1-2x(combine/simplify like terms)

The height of Tower A is 870 feet more than Tower B. The two towers have a combined height of 1,640 foot. What are the heights of each tower?

Answers

870 and 770 are the answers of the 2 towers

The vertices of triangle ABC are A(-2, 3), B(3, 3), and C(-2, -7). The triangle is dilated with a scale factor of 2. Estimate the perimeter of the dilated figure to the nearest whole number.

Answers

Answer:

13

Step-by-step explanation:

AB = 5

AC = 10

BC = ~11

P = 11 + 10 + 5 = 26

26 / 2 = 13

HELPPPP
What is the value of x that makes the given equation true?


​x−3x=2(4+x)​



A. ​x=−4​


​​ B. ​x=−3​


​​C. ​x=−2​


D. ​x=−1

Answers

Answer:

I think your answer is c x=-2

Step-by-step explanation:

:)

Sabine records the daily heights of a random sample of bamboo stalks, in inches. They are: 20, 19, 17, 16, 18, 15, 20, 21 Consider the formulas: A: s squared = StartFraction (x 1 minus x overbar) squared (x 2 minus x overbar) squared ellipsis (x n minus x overbar) squared Over n minus 1. B: s = StartRoot StartFraction (x 1 minus x overbar) squared (x 2 minus x overbar) squared ellipsis (x n minus x overbar) squared Over n minus 1 EndFraction EndRoot. C: Sigma squared = StartFraction (x 1 minus mu) Squared (x 2 minus mu) squared ellipsis (x N minus mu) squared Over N EndFraction. D: Sigma = StartRoot StartFraction (x 1 minus mu) Squared (x 2 minus mu) squared ellipsis (x N minus mu) squared Over N EndFraction EndRoot Which formula should you use for variance? Which formula should you use for standard deviation?.

Answers

The formula Sabine should use for calculating the variance and standard deviation for the random sample of bamboo stalks are,

[tex]s^2=\dfrac{(x_1-\overline x)^2(x_2-\overline x)^2...(x_n-\overline x)^2}{n-1}[/tex]

[tex]s=\sqrt{\dfrac{(x_1-\overline x)^2(x_2-\overline x)^2...(x_n-\overline x)^2}{n-1}}[/tex]

What is variance and standard deviation?

The variance of the data is the measure of average level by which every point is differed from the mean.

It can be calculated as,

[tex]s^2=\dfrac{(x_1-\overline x)^2(x_2-\overline x)^2...(x_n-\overline x)^2}{n-1}[/tex]

The standard deviation of the data is the half of the difference of the highest value and mean of the data set.

It can be calculated as,

[tex]s=\sqrt{\dfrac{(x_1-\overline x)^2(x_2-\overline x)^2...(x_n-\overline x)^2}{n-1}}[/tex]

Sabine records the daily heights of a random sample of bamboo stalks, in inches.

They are: 20, 19, 17, 16, 18, 15, 20, 21

For this data Sabine wants to calculate the variance and standard deviation, which can be done using the above formula.

Hence, the formula Sabine should use for variance is,

[tex]s^2=\dfrac{(x_1-\overline x)^2(x_2-\overline x)^2...(x_n-\overline x)^2}{n-1}[/tex]

The formula should Sabine use for standard deviation,

[tex]s=\sqrt{\dfrac{(x_1-\overline x)^2(x_2-\overline x)^2...(x_n-\overline x)^2}{n-1}}[/tex]

Learn more about the variance and standard deviation here;

https://brainly.com/question/15858152

Answer:

First Part: A and B

Second Part: 4.5 and 2.12

Step-by-step explanation:

edge 2022

Wendy asked 40 students on the school football team if they ever injured themselves while playing sports. Fifteen football team members responded “Yes.” Wendy concluded that 375 of the 1,000 students in her school have injured themselves playing sports. Select whether Wendy's conclusion is valid or invalid.

Answers

Answer:

Yes, Wendy's conclusion is valid.

Step-by-step explanation:

40 divided by 15= 2.666666666666667

Therefore, 1000 divided by 2.666666666666667= 374.999999999999953 which can be rounded to 375

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS

Answers

Answer:

(0, -3)

explanation:

original coordinates of C: (0, -7)

If reflected over y axis, there will be additive inverse in x unit

use the formula:  (x,y) → (−x, y)

new coordinates: (0, -7)

Then if translated vertically, there will be change in y axis:

(0, -7+4) → (0, -3)

After 2 years, $50,000 deposited in a savings account with simple interest had earned $15,000 in interest. What was the interest rate?

Answers

Answer:

15% simple interest

Step-by-step explanation:

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

In the diagram below, quadrilateral H I J K is inscribed in circle L. solve for X and Y

Answers

Check the picture below.

The value of variables x and y are,

x = 1 and y = 188

What is mean by Angle?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

In the diagram, quadrilateral HIJK is inscribed in circle L.

Now, We know that;

sum of opposite angle are 180 degree.

Hence, We get;

∠H + ∠J = 180

67 + (y - 75) = 180

y - 8 = 180

y = 180 + 8

y = 188

And, We get;

∠I + ∠K = 180°

96 + (x + 83) = 180

x + 179 = 180

x = 180 - 179

x = 1

Thus, The value of variables x and y are,

x = 1 and y = 188

Learn more about the angle visit:;

https://brainly.com/question/25716982

#SPJ2

In Ms. Lee’s 3rd period class of 28 students, 7 of them have a last name that starts with the letter A. What percent of that class have a last name that starts with the letter A?

Answers

Answer:

25%

Step-by-step explanation:When you divide 7 and 28 you get 0.25 which makes 25%

PLEASE HELP :)
----How many more miles would you have to travel if you drove down Polk and Fernwood?---- *I found the hypotenuse, 16, I just can't figure out how many more miles it is!*​

Answers

Answer:

8 miles.

Step-by-step explanation:

Travelling down Alley street is 20 miles

Travelling along Polk and Fernwood = 12 + 16 = 28 miles.

Choose the graph of this equation.
Y= -2/3x - 2

Answers

Answer:

c

Step-by-step explanation:

c because

if you use a number such as -4 for x, you do

-3/2*-4 is 12/2 which is 6

6-2 is 4

the coordinate would be (-4,4)

it fits graph c

A tracksuit top costs £12.75 and matching tracksuit bottoms cost £9.50, how much does the tracksuit cost altogether?

Answers

Step-by-step explanation:

£22.25 pls mark brainliest thanks

Ricardo's recipe for 4 loaves of bread requires 4 7 cup of olive oil. He only wants to make 1 loaf. Ricardo makes a model to find out how much oil he needs to use. He folds a piece of paper vertically into six parts and shades four parts. Then he folds the paper horizontally into four parts and shades 1 4 of the shaded part. Ricardo decides he needs 1 4 cup of olive oil. Is he right? Complete the explanation. Give your answer as a simplified fraction. He used the number of parts he shaded, 16, as the denominator.

Answers

Answer:

Here

Step-by-step explanation:

Ricardo's recipe for 4 loaves of bread requires 2/3 cup of olive oil.Now we are given that he wants to make 1 loaf. So, 4 loaves requires cup of oil So, 1 loaf requires cup of oil.
Ricardo is wrong.

he requires 1/6 cup of oil to make 1 loaf .While he decided he needs 1/4 cups

WHAT IS X IF THE EQUATION IS X - 3 = 6?

Answers

Answer:

9

Step-by-step explanation:

You substitute 9 for x and 9 - 3 = 6


I hope it helps! Have a great day!
Muffin ^^

Answer:

9

Step-by-step explanation:

Add 3 to the 6 and that will get rid of the 3. You will get 9.

x - 3 = 6

x -3 + 3 = 6 + 3

x = 9

Have an amazing day!

PLEASE RATE!

Can anyone solve this?

Answers

First, find the area of the table...

d = 4 ft  ---> r = 2 ft

Area = 3.14 * (2 ft)² = 12.56 ft²

Find how many pads will cover the entire table. Since each pad is 1 ft²...

# of pads = 12.56 ft² / 1 ft² = 12.56

Find the total cost for all pads...

Total cost = 12.56 * $0.75 = $9.42

-2p - 6(p - 4) + 22
(Explanation)

Answers

Answer:

= -8p+46

Step-by-step explanation:

Let's simplify step-by-step.

−2p−6(p−4)+22

Distribute:

=−2p+(−6)(p)+(−6)(−4)+22

=−2p+−6p+24+22

Combine Like Terms:

=−2p+−6p+24+22

=(−2p+−6p)+(24+22)

=−8p+46

(There u go ;)

PLSS HELP?!!

Use the number line below to determine the ratio of AD to El.
A B C D E F G H I J K
+
0
10
20
30
40
50
a. 3:8
b. 4:3
C. 3:4
d. 8:3
Please select the best answer from the choices provided
ΟΑ
B
OD

Answers

C. Because it is 15:20 which can be simplified to 3:4 if you divide both by 5.

A student finds the sum of the angle measures in an octagon by multiplying 7 • 180°. What is the student's error?​

Answers

The student should compute 6*180 = 1080 because of the formula

S = 180(n-2)

We have n = 8 sides which leads the n-2 part to become n-2 = 8-2 = 6

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