ABD and CBD form a linear pair . if m ABD = 6x-12 and m CBD = x + 31 find the m ABD

Answers

Answer 1

Answer:

m∠ABD = 126°

Step-by-step explanation:

if both angles make a linear pair then their sum equals to 180°

you can solve for x

m∠ABD + m∠CBD = 180

6x-12 + x+31= 180

7x + 19 = 180

7x = 161

x=23; now solve for

m∠ABD = 6x - 12 = 6(23) - 12 = 126°

Answer 2

The required measure of m ABD is 23.

What are linear pair of angle?

In geometry, a linear pair of angles is a pair of adjacent angles formed when two lines intersect each other.

Now it is given that,

m ABD = 6x - 12 and m CBD = x + 31

Since, ABD and CBD form a linear pair

m ABD + m CBD = 180°

6x - 12 + x + 31 = 180°

7x + 19 = 180°

⇒ 7x = 180° - 19

⇒ 7x = 161

⇒ x = 161/7

⇒ x = 23

Thus, the required measure of m ABD is 23.

To learn more about linear pair :

https://brainly.com/question/24576134

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Related Questions

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Answers

The shark is now at 20 feet
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Answer: 20ft

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Answers

Answer:

The vertex is (3,1)

Step-by-step explanation:

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Answers

Answer:

-3.8 - (7.2-10 3/8)

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Find the value of x if C is the midpoint of line segment AB, AC=4x+5, and
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Answers

Answer:

x =  8.5

Step-by-step explanation:

AC + CB = AB

As C is the midpoint AC = CB = 4X + 5

AC + CB = AB

4x + 5 + 4x + 5 = 78

4x + 4x + 5 + 5  = 78            {Combine like terms}

            8x + 10 = 78            {Subtract 10 from both sides}

                    8x = 78 - 10

                    8x = 68

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Answers

Answer:

10

Step-by-step explanation:

10+20=30

20 is two times 10

Since Thomas's age is half, Thomas's age is 10

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Answers

Answer:

Maureen ignored the negative(minus) sign in 1.7 thereby turning it into positive 1.7

Step-by-step explanation:

-1.7 + (-6.3)

Correct simplification

-1.7 + (-6.3)

Open parenthesis

= - 1.7 - 6.3

= -8

NOTE:

- * + = -

- * - = +

+ * - = -

+ * + = +

Maureen's simplification

-1.7 + (-6.3)

= 1.7 - 6.3

= -4.6

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The width of a rectangle is 15 cm and the perimeter is 72 cm. Find the length.

Answers

Answer:

22

Step-by-step explanation:

Answer:

the length is 21cm

Step-by-step explanation:

15*2=30

72-30=42

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Reuben drove 845 miles in 13 hours. At the same rate, how many miles would he drive in 11 hours? miles

Answers

Answer:

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Step-by-step explanation:

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this means that in 1 hours Reuben drives 65 miles.

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Answers

Answer:

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Step-by-step explanation:

Find the slope and y-intercept of the line whose equation is given.
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Answers

Answer:

Slope = -7

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Step-by-step explanation:

The slope formula is y = mx + b where m is the slope value and b is the y-intercept value. In this case, since both values have a negative sign in front of them, they are both negative.

y = mx + b

y = -7x - 9

m = -7 which is the slope

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Answers

Answer:

The y-intercept is (0,1/5)

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Answers

Answer:

Saiful has earned RM 50 after 3 months.

Step-by-step explanation:

We are given the following:

x = 5000

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Because 1 year = 12 months = 4% then:

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Answers

Answer:

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Step-by-step explanation:

Answer:

Correct Answer = -5

Step-by-step explanation:

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Answers

Answer:

19

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If you're asking how many quarters in 4 3/4

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Answers

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y = -3x

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2 options:
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y = -3/2x

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Answers

Answer:

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Answer:

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Answers

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answer:

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Step-by-step explanation:

The number 1 is the same as 1.00 and is the same as 100%.

The number 2, therefore, is the same as 2.00 and the same as 200%

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Answers

Answer:

0

Step-by-step explanation:

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Answers

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[tex] {3}^{ \sqrt{6} } \times {3}^{ \sqrt{4} } = [/tex]

[tex] {3}^{ \sqrt{6} } \times {3}^{2} = [/tex]

[tex] {3}^{ \sqrt{6} + 2 } = {3}^{2 + \sqrt{6} } [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

what is 2 over 5 simplafied

Answers

Answer:

2/5 simplified is 1/2.5 or .4

Step-by-step explanation:

You simplify by dividing the numerator by the denominator. Thus 2/5 is

.40.

Hope this helps!

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Answers

Answer: Wow thats amazing, thanks for this fact.

Step-by-step explanation:

Ignore the blue thing

Answers

Answer:

g(-9) = -43

Step-by-step explanation:

Plug the -9 where the x are at

g(-9 )= 4(-9) - 7

g(-9) = -36 - 7

g(-9) = -43

NEED HELP PLEASE!!! Lionel created a scatter plot and drew a line of best fit, as shown.
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Answers

Answer: A.

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Step-by-step explanation:

You gotta find the pretty points on the line of the linear function. Then you have to find the slope (rise over run) with those pretty points. Then you have to use a coordinate (I used 6,4) to find the y intercept. Then you solve the equation, by plugging in all the numbers :) hope this helps.

Please HURRY I need to get this turned in.....
7. Of the three explanations below, which person gives the best explanation of why the LSRL is the best line of best fit?
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Thomas: The LSRL is the best line of
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Keene: The LSRL is the best line of best fit
because it has the smallest value for all the
squared residuals added together.

Ella: The LSRL is the best line of best fit because the sum of the residuals is closest to zero when they are all
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Answers

Answer:

Ella

Step-by-step explanation:

IT goes more into detail on why the LSRL is best line of fit

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