Find the scale factor of the larger figure to the bigger figure.5-8 solve for x. The polygons in each pair are similar.
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Answer:
See below in BOLD.
Step-by-step explanation:
What you need to do is identify the corresponding sides in the polygon than divide the larger length by the smaller.
3. The side length 8 corresponds to the 4 in the other polygon.
So the scale factor is 8/4 = 2.
4. Scale Factor = 24/20 = 1.2.
5. 40/32 = 5x / 24
5x = 40*24 / 32
5x = 30
x = 6.
6. 25/30 = 4x + 7 / 42
5/6 = 4x + 7 / 42
6(4x + 7) = 210
24x = 210 - 42 = 168
x = 168/24
x = 7.
7. 40/24 = 3x + 5 / 21
5/3 = (3x + 5) / 21
9x + 15 = 105
9x = 90
x = 10.
8. 24 / 40 = (x + 3) / 15
3/5 = (x + 3) / 15
5x + 15 = 45
5x = 30
x = 6.