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alina1380 [7]
11 months ago
11

If x is the midpoint of SP, SX = 42 AND XP =5X+8, WHAT IS X?

Mathematics
1 answer:
tigry1 [53]11 months ago
6 0

Answer:

x= 34/5 = 6.8

Step-by-step explanation:

Given  "<u>x is the midpoint of SP</u>" we can conclude that SX = XP since by the <u>midpoint definition</u> we know that X is dividing the line SP in congruent lines SX and XP.

Given "<u>SX = 42 AND XP =5X+8</u>" and that <u>SX = XP</u>, we can conclude that 5x+8 = 42.

Solve the equation to find the value of x:

5x +8 = 42, subtract 8 from both sides

5x +8 -8 = 42-8, combine like terms

5x = 34, divide both sides by 5

x= 34/5 = 6.8

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