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3 years ago

PLEASE HELP

Mathematics

1 answer:

sweet-ann [11.9K]3 years ago

4 0

Answer:

m < ANM = 36 degrees.

AM = 9.40 cm to the nearest hundredth.

Perimeter = 94.05 cm to the nearest hundredth.

Step-by-step explanation:

As we have a regular pentagon:

m < ANB = 360 / 5

= 72 degrees

So m < ANM = 1/2 * 72

= 36 degrees.

In the triangle ANM, AN = 16 so

sin 36 = Am / 16

AM = 16 sin36

= 9.4045 cm.

AB = 2 * AM = 18.809 cm

So as all sides are equal:

Perimeter = 5 * 18.809

= 94.05 cm.

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