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Lynna [10]
3 years ago
7

Find the measure of each interior angle AND each exterior angles of the following regular polygons. Show your work.

Mathematics
1 answer:
fredd [130]3 years ago
7 0
<h3>Given</h3>

regular polygons with 5, 16, and 12 sides

<h3>Find</h3>

the measures of each interior and exterior angle

<h3>Solution</h3>

The sum of exterior angles is 360° for any convex polygon. For a regular n-agon, the measure of an exterior angle is 360°/n. The corresponding interior angle is its supplement.

(a) pentagon. Exterior angle: 72°; Interior angle: 108°.

(b) 16-gon. Exterior angle: 22.5°; Interior angle: 157.5°.

(c) dodecagon. Exterior angle: 30°; Interior angle: 150°.

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Solve the equation for y in terms of x<br><br> 3x-2y=6
Katarina [22]

Answer: 3/2x - 3 = y

Step-by-step explanation:

3x - 2y = 6

   +2y  =     +2y

3x = 6 + 2y

-6   = -6

3x-6 = 2y

/2     = /2

3/2X - 6/2 = y

3/2x - 3 = y

6 0
3 years ago
larry and willa are each reading the same book larry has read 2/3 of the book. willa said that she has read 4/6 of the book so s
Morgarella [4.7K]
Willa is not correct because If you multuply 2/3 by 2 you will get 4/6 which is same as willa's
7 0
3 years ago
Read 2 more answers
(20 points) A statistics practitioner calculated the mean and the standard deviation from a sample of 400. They are x = 98 and s
Nimfa-mama [501]

Answer:

The P-value is 0.0234.

Step-by-step explanation:

We are given that a statistics practitioner calculated the mean and the standard deviation from a sample of 400. They are x = 98 and s = 20.

Let = population mean.

So, Null Hypothesis, : = 100 {means that the population mean is equal to 100}

Alternate Hypothesis, : > 100 {means that the population mean is more than 100}

The test statistics that will be used here is One-sample t-test statistics because we're yet to know about the population standard deviation;

T.S. = ~

where, = sample mean = 98

s = sample standard deviation = 20

n = sample size = 400

So, the test statistics = ~

= -2

The value of t-test statistics is -2.

Now, the P-value of the test statistics is given by;

P( < -2) = 0.0234 {using the t-table}

8 0
3 years ago
Which measurement is equivalent to 987 mL?<br><br> 9.87 L<br> 9,870 L<br> 0.987 L<br> 98.7 L
Nookie1986 [14]
0.987L

1L is equal to 1000mL.
5 0
3 years ago
Veronica traveled 562 miles to Venice, Florida. She drove 85 miles every day. On the last day of her trip, she only drove 52 mil
nikklg [1K]

Answer:

562 = 85x +52

x is the number of days

Veronica traveled for 7 days

Step-by-step explanation:

562 = 85x + 52

510 = 85x Subtract 52 on both sides

6 = x Divide by 85 to isolate x

Even though Veronica only had to drive 52 miles on the last day of her trip, it still counts as a day of driving. Hence, she traveled 7 days in total.

7 0
2 years ago
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