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makkiz [27]
3 years ago
14

9.2 HW Central Angles, Arc Measures, & Arc Length

Mathematics
1 answer:
AlladinOne [14]3 years ago
8 0

Answer:

here i hope this help im not sure if a can find the exact answer your looking for but here is a formula

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ABCDE is a regular pentagon.
LiRa [457]

Part (A)

We have n = 5 sides, so the measure of any exterior angle of a regular pentagon is E = 360/n = 360/5 = 72

Each interior angle is therefore 180-E = 180-72 = 108 degrees.

---------------

Alternatively, you could use the formula below with n = 5

i = interior angle

i = 180(n-2)/n

i = 180(5-2)/5

i = 180(3)/5

i = 540/5

i = 108

---------------

<h3>Answer: 108 degrees</h3>

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

Part (B)

We're told that CDF is 70 degrees. From part (A) we know that angle CDE is 108 degrees, so this must mean that angle EDF is 108-70 = 38 degrees.

Similarly, angle FEA is 85 degrees, which subtracts from angle AED to get 108 - 85 = 23 degrees. This is the measure of angle DEF.

So far we found

angle EDF = 38

angle DEF = 23

Let's call these x and y for shorthand. Let z be the missing third angle of triangle DFE.

So,

x+y+z = 180

38+23+z = 180

61+z = 180

x = 180-61

x = 119

Interior angle DFE is 119 degrees.

Note how 90 < x < 180 showing we have an obtuse angle. It is not a reflex angle because the statement 180 < x < 360 is false.

So we subtract the value of x from 360

360-x = 360-119 = 241

This is the reflex angle DFE

---------------

<h3>Answer: 241 degrees</h3>
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35 shares of stock at $45.75 per share. He received dividends of $82.45 during the year. At the end of the year, his stock was v
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8. Terry drove 366 miles in 6 hours at a
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Answer:

C (7 hours)

Step-by-step explanation:

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427 divided by 7 = 61

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The lender or servicer must automatically terminate PMI when your mortgage balance reaches 78 percent of the original purchase price — in other words, when your loan-to-value (LTV) ratio drops to 78 percent.

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