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If T is the midpoint of SV, ST= x + 4, and TV= 2x - 8, how long is SV?

If T is the midpoint of SV, ST= x + 4, and TV= 2x - 8, how long is SV?-example-1

1 Answer

3 votes

Answer:

The answer to your question is SV = 32

Explanation:

Data

T = mid point

ST = x + 4

TV = 2x - 8

SV = ?

Process

1.- If T is the mid point of SV, that means that the distance from ST to SV is the same.

ST = TV

2.- Substitution

x + 4 = 2x - 8

-Solve for x

x - 2x = -8 - 4

-Simplifying

-x = -12

-Result

x = 12

3.- Find the length of SV

SV = ST + TV

SV = x + 4 + 2x - 8

SV = 12 + 4 + 2(12) - 8

SV = 16 + 24 - 8

SV = 40 - 8

SV = 32