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earnstyle [38]
4 years ago
13

If P is the midpoint of ST, SP = x + 4, and ST = 4x, determine the length of ST

Mathematics
2 answers:
AveGali [126]4 years ago
7 0
<span>If P is the midpoint of ST then ST = 2SP

4x = 2(x + 4)
4x = 2x + 8
4x - 2x = 8
2x = 8
x = 8/2
x = 4

ST = 4x = 4*4 = 16 units</span>
KiRa [710]4 years ago
7 0

Answer:

ST = 16.

Step-by-step explanation:

Given  : P is the midpoint of ST, SP = x + 4, and ST = 4x,

To find :  Determine the length of ST.

Solution : We have given P is mid point of ST.

It mean P divide the ST in to two equal parts .

So, SP = PT .

We can say

ST  = 2 SP .

Plug the given values SP = x + 4, and ST = 4x,

4x = 2 ( x +4).

4x = 2x + 8.

On subtracting both sides by 2x

4x -2x = 8.

2x = 8

On dividing both sides by 2

x = 4.

ST = 4 * 4 = 16.

Therefore, ST = 16.

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