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3 years ago

Suppose Q is the midpoint of PR. Use the information to find the missing value.

Mathematics

2 answers:

Hunter-Best [27]3 years ago

4 0

Answer: PR = 38

<u>Step-by-step explanation:</u>

Since Q is the midpoint of PR, then PQ = QR

6x + 25 = 16 - 3x

9x + 25 = 16 added 3x to both sides

9x = -9 subtracted 25 from both sides

x = -1 divided both sides by -1

PQ = 6x + 25 QR = 16 - 3x

= 6(-1) + 25 = 16 - 3(-1)

= -6 + 25 = 16 + 3

= 19 = 19

Use the Segment Addition Postulate to find PR:

PR = PQ + QR

= 19 + 19

= 38

murzikaleks [220]3 years ago

3 0

Step-by-step explanation:

If Q is the midpoint of PR

Then PQ + QR = PR

(6x + 25) + (16 - 3x)

group the same terms and add them

(6x - 3x) + (25 + 16)

Hence PR = (3x + 41)

But to find the value of PR....If Q is the midpoint....then PQ = QR...since they are both half lengths of PR;

; 6x + 25 = 16 - 3x

; 6x + 3x = 16 - 25...;9x = -9

Hence the value of...x = -1

Then substitute the value of x into the equation of PR....3x + 41

;3(-1) + 41

;-3 + 41

Hence PR = 38

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