Mathematics, 15.01.2020 00:31 djdjd11

Given the regular polygon, what is the measure of each numbered angle? : )

Answers: 1

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Answer from: raulriquelmef6p0947w

Option C is the correct choice.

Step-by-step explanation:

We have been given an image of a regular polygon. We are asked to find the measure of each numbered angle.

First of all we will find the measure of each interior angle of our given polygon using formula:

$\text{Each interior angle}=\frac{180(n-2)}{n}$ , where n represents the sides of the regular polygon.

Since our polygon is a regular polygon with 10 sides, so each of its interior angle will be equal to:

$\text{Each interior angle}=\frac{180(10-2)}{10}$

$\text{Each interior angle}=18(8)$

$\text{Each interior angle}=144$

Since each of the interior angle of our given decagon is divided into two parts, so the measure of angle 2 and unnumbered angle will be half the 144 degrees.

$m\angle 2=\frac{144^{\circ}}{2}$

$m\angle 2=72^{\circ}$

Therefore, the measure of angle 2 is 72 degrees.

By angle sum property all the angles of a triangle add up-to 180 degree, so we can find measure of angle 1 as:

$m\angle 1+m\angle 2+\text{Measure of unnumbered angle}=180^{\circ}$

$m\angle 1+72^{\circ}+72^{\circ}=180^{\circ}$

$m\angle 1+144^{\circ}=180^{\circ}$

$m\angle 1+144^{\circ}-144^{\circ}=180^{\circ}-144^{\circ}$

$m\angle 1=36^{\circ}$

Therefore, the measure of angle 1 is 36 degrees.

Upon looking at our given choices we can see that option C is the correct choice.

Answer from: Quest

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

Answer from: Quest

part a

x y

0 8

1 7.5

2 7

3 6.5

4 6

5 5.5

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part c

for every x value there is only one y value

x y

0 8

1 7.6

2 7.2

3 6.8

step-by-step explanation:

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Given the regular polygon, what is the measure of each numbered angle? : )
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