Question

find the value of the variable and XP, if X Is between P and Q. XQ = 13, XP = 5x - 3, PQ = 40

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Answer to a math question find the value of the variable and XP, if X Is between P and Q. XQ = 13, XP = 5x - 3, PQ = 40

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107 Answers

Solution:
1. Given:
-

XQ = 13

XP = 5x - 3

PQ = 40

2. Since

is between

and

, according to geometry, the sum of the segments

and

should equal segment

XP + XQ = PQ

3. Substitute the known values:

(5x - 3) + 13 = 40

4. Simplify and solve for

5x - 3 + 13 = 40

5x + 10 = 40

5x = 40 - 10

5x = 30

x = \frac{30}{5}

x = 6

5. Calculate

using the value of

XP = 5x - 3 = 5(6) - 3 = 30 - 3 = 27

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find the value of the variable and XP, if X Is between P and Q. XQ = 13, XP = 5x - 3, PQ = 40

Answer to a math question find the value of the variable and XP, if X Is between P and Q. XQ = 13, XP = 5x - 3, PQ = 40

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