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enot [183]
3 years ago
6

Which triangles must be congruent? Abc, fde, and gih.

Mathematics
1 answer:
dimaraw [331]3 years ago
4 0

Answer:

A. ΔABC, ΔFDE and ΔGIH

Step-by-step explanation:

From the given descriptions for the three triangles, it can be inferred that;

DE ≈ HI ≈ BC

AB ≈ FD ≈ GI

m<B = m<D = m<I

So that by Side-Angle-Side (SAS) relations among the triangles, the three triangles are congruent.

This implies that: ΔABC ≅ ΔFDE ≅ ΔGIH

The appropriate answer to the given question is A.

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Steps to solve
1) We have 5 +(-8)n = 29, which we can change to 5 - 8n = 29, because a positive times negative equals a negative
2) To isolate n, we move all of the other numbers to the other side of the equation. Since 5 is the only number on the left side, we subtract 5 from both sides
5 -5 - 8n = 29 -5
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3) Now, to find n, we want to just have one n on the left side instead of -8, so we divide the equation by -8 to find that
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