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photoshop1234 [79]
2 years ago
14

What is the measure of the smallest interior angle of the hexagon shown?

Mathematics
1 answer:
yan [13]2 years ago
7 0
<h3>Answer:  C) 70 degrees</h3>

=========================================================

Explanation:

We have n = 6 sides, so the interior angles must add to 180(n-2) = 180(6-2) = 720 degrees

Lets add up the angles, set the sum equal to 720 and solve for x

x+2x+115+2x+115+2x = 720

7x+230 = 720

7x = 720-230

7x = 490

x = 490/7

x = 70

This makes angle 2x = 2*70 = 140 degrees

We see that x = 70 is the smallest angle, so that's why C is the answer.

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Answer:

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Step-by-step explanation:

A direct variation equation has the following format:

y=kx

Where k is a constant.

We know that y is 12 when x is -2. Thus, substitute:

12=-2k

Divide both sides by -2:

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So, our direct variation equations is:

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To find what x is when y equals -6, substitute in -6 for y:

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Using proportions, it is found that Felipe needs 23.625 meters of wood to make that many birdhouses.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

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5.25 x 4.5 = 23.625 meters.

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