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3 years ago

How many sides does this regular polygon have? Pls help

Mathematics

1 answer:

galina1969 [7]3 years ago

3 0

Answer:

9 sides

Step-by-step explanation:

7y + 2y = 180

9y = 180

y =20

so, 2y, the exterior angle is 2 x 20 = 40

Divide 360 by 40 = 9

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The complete question is:

Trapezoid JKLM is shown below.

What is the length, in centimeters, of KL ?

A. 12 cm

B. 10 cm

C. 9 cm

D. 6 cm

The mentioned figure is attached.

Answer:

$\large\boxed{option\text{ B. }(\overline{KL})=10cm}$

Explanation:

1. KL is the hypotenuse of a right triangle; hence, you can use Pythagora's theorem to find its length.

2. The height 8 cm is one leg of the right triangle.

3. The other leg may be found by difference:

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$hypotenuse^2=(leg_1)^2+(leg_2)^2\\ \\ (\overline{KL})^2=(8cm)^2+(6cm)^2\\ \\ (\overline{KL})^2=64cm^2+36cm^2=100cm^2\\ \\ (\overline{KL})=10cm$

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How many sides does this regular polygon have? Pls help ​

How many sides does this regular polygon have? Pls help