Answer: C) y = 10.15
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Explanation:
RS and UV are the first two letters of RST and UVW respectively. So that means RS corresponds to UV to form the ratio RS/UV.
RT and UW are the first and last letters of RST and UVW. So we have RT/UW as another ratio. This ratio is equal to the first ratio we found since the triangles are similar. Similar triangles have their corresponding sides be in proportion with one another.
So we can form this equation
RS/UV = RT/UW
Let's apply substitution and solve for y
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RS/UV = RT/UW
10/(14.5) = 7/y ...... substitution
10*y = 14.5*7 ........ cross multiply
10y = 101.5
y = 101.5/10 ....... dividing both sides by 10
y = 10.15
