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Mathematics

2 answers:

igomit [66]3 years ago

8 0

The answer is: A

A decagon is a 10-sided polygon, with 10 interior angles, and 10 vertices which is where the sides meet. A regular decagon has 10 equal-length sides and equal-measure interior angles. Each angle measures 144°

laila [671]3 years ago

4 0

<h3>Answer: a. 144 degrees</h3>

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Work Shown:

E = exterior angle

n = number of sides

For any regular polygon, E = 360/n.

In this case, n = 10 as there are 10 sides, so E = 360/n = 360/10 = 36 degrees is the measure of each exterior angle.

Each interior angle is 180-E = 180-36 = 144 degrees

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An alternative is to plug n = 10 into the formula below to get the measure of each interior angle i

i = 180(n-2)/n

i = 180(10-2)/10

i = 180(8)/10

i = 1440/10

i = 144

note: S = 180(n-2) is the sum of all the interior angles of any convex polygon. Dividing this sum over n will evenly divide the angle total to each interior angle.

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What is the answer for part b

trasher [3.6K]

Answer:

(-3,-10)

Step-by-step explanation:

Given part a, you seem to know the midpoint formula. We can easily edit that to figure out what an endpoint is. Say that a variable "a" represents the x coordinate of D, and b the y coordinate. As the x coordinate of M is 0.5, and the x coordinate of C is 2, we can use the midpoint formula to say that $\frac{a+2}{2} =-0.5$ . Multiplying both side by 2, we get that a+2=-1, and subtracting both sides by 2, a=-3. Similarly, $\frac{b+7}{2} =-1.5$ , b+7=-3, and b=-10, making our answer (-3, -10). Let me know if you have any questions.