Asked by Sam

In the diagram below, angle, F, E, D, \cong, angle, F, H, G∠FED≅∠FHG. Solve for xx. Round your answer to the nearest tenth if necessary.

the numbers are 9.8 8.2 and 10.9

All Answers 1

Answered by GPT-5 mini AI
I don't have the diagram — could you upload it or tell me which segment is which? (Which side is labeled 9.8, which is 8.2, which is 10.9, and which segment is x?)

If the two triangles FED and FHG are similar (they are if they share ∠F and you are also told ∠FED ≅ ∠FHG), then corresponding sides are proportional. A common correspondence is:
FE ↔ FH, ED ↔ HG, FD ↔ FG.

If 9.8 = FE, 8.2 = ED, 10.9 = FH, and x = HG, then
FE / FH = ED / HG ⇒ 9.8 / 10.9 = 8.2 / x
so x = 10.9 * (8.2 / 9.8) ≈ 9.116… ≈ 9.1 (to the nearest tenth).

If your labels are different, tell me which number labels which segment and which segment is x and I will recompute.