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jekas [21]
3 years ago
11

If the mFT 3x - 2 and the mFE = 5x + 1, Find x and mTE. (GT is median)

Mathematics
1 answer:
Vinil7 [7]3 years ago
7 0

Answer:

x = 5

TE = 13

Step-by-step explanation:

Since GT is the median, then 2*(FT) = FE.

FE = 5x + 1

FT = 3x - 2

Therefore:

2*(3x - 2) = 5x + 1 (substitution)

6x - 4 = 5x + 1

Collect like terms

6x - 5x = 4 + 1

x = 5

TE = ½*(FE)

TE = ½*(5x + 1)

Plug in the value of x

TE = ½*(5(5) + 1)

TE = ½(25 + 1) = ½(26)

TE = 13

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