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scoray
1 month ago
13

Triangle G F E is cut by line segment H J. Line segment H J goes from side G E to F E. The length of G F is 4 x minus 4, the len

gth of H J is x + 3, and the length of J E is x minus 1.
If H is the midpoint of GE and J is the midpoint of FE, determine the following lengths.

HJ =

JE =
Mathematics
1 answer:
Inessa [12.5K]1 month ago
5 0
HJ is 4.0 and JE is 4. Here's a detailed explanation: It's mentioned that H is the midpoint of GE and J is the midpoint of FE. According to the midpoint theorem, the line segment that connects the midpoints of two sides is parallel to the third side and is half its length. As JH connects these midpoints, HJ = 1/2 (GF) and therefore the calculations show that HJ equals 8 and JE equals 4.
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