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 =
1 answer:
Answer:
HJ = 8 JE = 4
Step-by-step explanation:
it is given that H is the midpoint of GE and J is the midpoint of FE. According to the midpoint theorem the line segment connecting the midpoint of two sides is parallel to the three side and its length is half of the third side. since JH is connecting the midpoints.
HJ= 1/2 (GF)
x + 3 = 1/2 (4x - 4)
x + 3 = 2x - 2
x = 5
^ Thus meaning the value of x is 5.
Now you just fill into your equations:
HJ = x + 3 = (5) + 3 = 8
JE = x - 1 = (5) - 1 = 4
Therefore, HJ = 8; JE = 4.
You might be interested in
Answer:
1/6
Step-by-step explanation:
20 sec of 120 sec = 20/120 = 1/6
Answer: -2.5 Solution: -18.5/7.4=-2.5
Answer:
10,100,1000,-10,-100,-1000
Step-by-step explanation:
X-intercept; -.25 y-intercept; -3
X+7<23 x<23-7 x<16 So, all numbers from zero to 15 Those are 16 positive integers