Point Q is on line segment PR. Given QR = 2x + 4, PQ = 2, and PR = 4x – 10, determine the numerical length of PR.

PR = 22

Step-by-step explanation:

Because point Q ∈ PR (∈ means belongs to), we know that PQ + QR = PR due to the Parts Whole Postulate. Therefore, using substitution, we can write the following equation:

2 + 2x + 4 = 4x - 10

2x + 6 = 4x - 10

-2x = -16

x = 8 so PR = 4(8) - 10 = 22.

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x