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Ostrovityanka [42]
4 years ago
5

Suppose PR = 54, solve for QR 4x-1 3x-1 P R

Mathematics
1 answer:
Svet_ta [14]4 years ago
5 0

Answer:

QR = 23

Step-by-step explanation:

P, A, and R are collinear.

PR = 54

PQ = 4x - 1

QR = 3x - 1

To solve for the numerical length of PR, let's generate an equation to find the value of x.

According to the segment addition postulate:

PQ + QR = PR

(4x - 1) + (3x - 1) = 54 (substitution)

Solve for x

4x - 1 + 3x - 1 = 54

Combine like terms

4x + 3x - 1 - 1 = 54

7x - 2 = 54

Add 2 to both sides

7x - 2 + 2 = 54 + 2

7x = 56

Divide both sides by 7

\frac{7x}{7} = \frac{56}{7}

x = 8

QR = 3x - 1

Plug in the value of x into the equation

QR = 3(8) - 1 = 24 - 1

QR = 23

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