Question

Triangle FEG is similar to triangle IHJ. Find the missing values. (Show your work.)

Answer 1

Answer:

x=16

y=9

Step-by-step explanation:

Since Triangles FEG and IHJ are similar, we can infer the side lengths are proportional. We will use this fact to find the ratio between sides JI and GI, which would be 40/60, which equals .666666667, or 2 thirds, which we multiply the side GE by. We do this because the ratio of 2/3 applies to the whole triangle. So, 2/3 of 42 is equivalent to 28. x+12 must equal 28 then, and 28-12 is 16, so x=16. Then, finding y is much easier. 5y+7=52(degrees), so we subtract 7 from both sides, and then it becomes 5y=45. Then, we get rid of the 5 by dividing 5 on both sides, to get y=9.

Answer 2

Answer:

y=16

x=9

Step-by-step explanation:

Solve it aby adding and subtracting.