Hannahponci06idn
Answered

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Use the picture below to solve for the missing information, given PQ = 2x + 8, QR = x + 11, and PR = 5x - 3.

Someone please help, BE SPECIFIC on the answers & how you got them, with a explanation. (please fill in all the blanks, thank you)
NO TROLLING. please.

(For geometry class by the way, we're learning about segments).​

Use The Picture Below To Solve For The Missing Information Given PQ 2x 8 QR X 11 And PR 5x 3Someone Please Help BE SPECIFIC On The Answers Amp How You Got Them class=

Sagot :

Nuhulawal20idn

Given that Q is a point between P and R, the numerical values of x, segment PQ, QR and PR are 11, 30, 22 and 52 respectively.

What are the numerical values of x, segment PQ, QR and PR?

Given the data in the question;

  • Q is a point between P and R
  • Segment PR = 5x - 3
  • Segment PQ = 2x + 8
  • Segment QR = x + 11
  • Numerical value of x, segment PQ, QR and PR = ?

Since Q is a point between P and R.

PR = PQ + QR

Plug in the given values and solve for x.

5x - 3 = ( 2x + 8 ) + ( x + 11 )

5x - 3 = 2x + 8 + x + 11

5x - 3 = 3x + 19

5x - 3x = 19 + 3

2x = 22

x = 22/2

x = 11

Numerical value of segment PQ when x = 11 will be;

PQ = 2x + 8 = 2(11) + 8 = 30

Numerical value of segment QR when x = 11 will be;

QR = x + 11 = (11) + 11 = 22

Numerical value of segment PR when x = 11 will be;

PR = 5x - 3 = 5(11) - 3 = 52

Given that Q is a point between P and R, the numerical values of x, segment PQ, QR and PR are 11, 30, 22 and 52 respectively.

Learn more about equations here: brainly.com/question/14686792

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