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3 years ago

Find the sum of the interior angles, then solve for x. Help!!

Mathematics

2 answers:

ser-zykov [4K]3 years ago

6 0

Answer:

x=35²

Step-by-step explanation:

1. Since all pentagons have a total interior angle sum of 540, add all the terms together and set them equal to 540:

$91+92+125+\left(4x-8\right)+\left(3x-5\right)=540$

2. combine like terms. <u>(91, 92, -8, -5 and 125) (3x and 4x)</u>

$295+7x=540$

3. subtract 295 from 540:

$7x=540-295\\7x=245$

4. Divide 245 by 7.

$\frac{7x}{7}=\frac{245}{7}\\\\x=35$

Final answer:

Hope this helps Doonan!

dangina [55]3 years ago

3 0

Answer:

91 + 125 + 92 +(3x-5) + (4x- 8)= 540

308 +3x -5 +4x -8 =540

7x - 295 = 540

7x = 540 -295

7x = 245

x = 245/7

x = 35

Step-by-step explanation:

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PQ has a midpoint of M. the coordinates of M are (-4, 7) and the coordinates of P are (2, 13). What are the coordinates of Q?

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Using the midpoint formula, the coordinates of Q are: <em>A. (-10, 1)</em>

<h3>What is the Midpoint Formula?</h3>

Midpoint formula is given as, $M(x, y) = (\frac{x_2 + x_1}{2} , \frac{y_2 + y_1}{2})$

Thus, given that:

M is the midpoint of PQ.
M (-4, 7)
P (2, 13).

Therefore:

$M(-4, 7) = (\frac{2 + x_1}{2} , \frac{13 + y_1}{2})$

Solve for x-coordinate of P:

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2(-4) = 2 + x1

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Solve for y-coordinate of P:

7 = 1/2(13 + y1)

14 = 13 + y1

y1 = 1

Therefore, using the midpoint formula, the coordinates of Q are: <em>A. (-10, 1)</em>

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Learn more about the midpoint formula on:

brainly.com/question/88621

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