Point Q is on line segment PR. Given QR = 3x, PQ = x + 6, and PR = 5x – 4, determine the numerical length of PQ.

Given:

Point Q is on line segment PR.

QR = 3x, PQ = x + 6, and  PR = 5x – 4.

To find:

The numerical length of PQ.

Solution:

Since, point Q is on line segment PR, so by segment addition property, we get

The value of x is 10.

Now,

Putting x=10, we get

Therefore, the numerical length of PQ is 16 units.

total amount to be paid = $19.5

step-by-step explanation:

given ,

original price = $25.99

discount = 25%

discount amount = 25% of original price

discount amount = 25/100   * 25.99

discount amount = $6.49

hence , the total amount to be paid = original price - discount amount

                                                            = $25.99 - $6.49

                                                            =$19.5

total amount to be paid = $19.5