Question

In the diagram below of triangle TUV, W is a midpoint of TU and X is a midpoint
of UV. IfWX = 23 – 2x, and TV = 64 – 10x, what is the measure of TV?
А.
W
T
V
Answer:
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Answer 1

Answer:

$TV = 34$

Step-by-step explanation:

WX = 23 – 2x,

TV = 64 – 10x,

First, create an equation you will use to find the value of x.

Thus:

$WX = \frac{1}{2}(TV)$ (midsegment theorem of a ∆)

$23 - 2x = \frac{1}{2}(64 - 10x)$ (substitution)

$23 - 2x = \frac{1}{2}(64 - 10x)$

Multiply both sides by 2

$(23 - 2x)*2 = \frac{1}{2}(64 - 10x)*2$

$46 - 4x = 64 - 10x$

Collect like terms

$46 - 64= 4x - 10x$

$-18= -6x$

Divide both sides by -6

$3 = x$

$x = 3$

Find TV:

$TV = 64 - 10x$

Plug in the value of x

$TV = 64 - 10(3) = 64 - 30$

$TV = 34$

Answer 2

Answer:

the answer is 18

Step-by-step explanation: I unfortanutley got it wrong by listen to the dude that said it 34 but it's 18