Answer:
A. A horizontal shift to the right 7.5 units
Step-by-step explanation:
Replacing x with x-7.5 shifts the graph 7.5 units to the <em>right</em>.
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In general, g(x) = f(x-h)+k will shift h units right and k units up. In this problem there is no vertical shift.
First, find the measure of an interior angle:
the sum of the interior angles of a polygon is (n-2)*180, n is the number of sides
for a 15-sided polygon, the sum is 13*180
each interior angle is then 13*180/15=156
the measure of each exterior angle=180-156=24
Answer:
![x=-9\frac{1}{3}](https://tex.z-dn.net/?f=x%3D-9%5Cfrac%7B1%7D%7B3%7D)
Step-by-step explanation:
![\frac{1}{2}(x+10)=\frac{1}{4}(x-8)](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%28x%2B10%29%3D%5Cfrac%7B1%7D%7B4%7D%28x-8%29)
![\frac{1}{2}x+5=\frac{1}{4}x-2](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dx%2B5%3D%5Cfrac%7B1%7D%7B4%7Dx-2)
![\frac{1}{2}x-\frac{1}{4}x=-5-2](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dx-%5Cfrac%7B1%7D%7B4%7Dx%3D-5-2)
![\frac{3}{4}x=-7](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7Dx%3D-7)
![x=-\frac{28}{3}=-9\frac{1}{3}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B28%7D%7B3%7D%3D-9%5Cfrac%7B1%7D%7B3%7D)
1. D
2. E
3. B
4. Pentagon
5. C