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vlabodo [156]
3 years ago
13

What is the sum of measures of the exterior angles of a polygon that has fifteen sides

Mathematics
1 answer:
madreJ [45]3 years ago
8 0

\bf \textit{sum of exterior angles}\\\\ n\theta =360~~ \begin{cases} n=\textit{number of sides}\\ \theta = \textit{angle in degrees}\\[-0.5em] \hrulefill\\ n=15 \end{cases}\implies 15\theta =360 \\\\\\ \theta =\cfrac{360}{15}\implies \theta =24

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Write an equation of a line going through (5,7) and (4 , -4)
Ostrovityanka [42]

Answer:

The equation of this line would be y = 11x - 48

Step-by-step explanation:

To get this equation, we first have to find the slope. We do that with the slope eqaution.

m(slope) = (y2 - y1)/(x2 - x1)

m = (-4 - 7)/(4 - 5)

m = -11/-1

m = 11

Now we can use this slope and either point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - 7 = 11(x - 5)

y - 7 = 11x - 55

y = 11x - 48

6 0
3 years ago
Triangle EFG is dilated by a scale factor of 3 centered at (0, 1) to create triangle E'F'G'. Which statement is true about the d
lesya [120]

Answer:

segment EH and segment E prime H prime both pass through the center of dilation.  

Step-by-step explanation:

Center of dilation is point (0.1), same as H. Both, E(0,5) and H(0,1) are placed over y-axis, then E' and H' are also located at y-axis.

After dilation, H' is placed at (0,1) because it coincides with the center of dilation

Distance between E and center of dilation is 4 units, then E' should be at 4*3=12 units from the center of dilation and over y-axis. Therefore, E' is placed at (0, 13)

So, segment E'H' goes from (0,1) to (0,13), and pass through the center of dilation, like segment EH.

4 0
3 years ago
Hello! is y = 3x - 3 proportional or non-proportional?? please help!
MissTica

A proportional graph is a straight line that goes through the origin while a non-proportional graph is a straight line that doesn't go through the origin.

y = mx + b

the b represents the y-intercept, so -3 is the y-intercept in the equation y = 3x -3

therefore, the line doesn't go through the origin and is a non-proportional equation

6 0
2 years ago
IS 419.10 GREATER THAN 419.099
marysya [2.9K]
Yes, by 0.001. Thank me later.
8 0
3 years ago
Read 2 more answers
explain why you can or cannot figure out the shape of a tank if you only know how many gallons it holds
jolli1 [7]
You certainly cannot. This is because you can really only determine size from how many gallons it holds, and shape can differ as long as it can hold the amount needed. Hope this helps.
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3 years ago
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