Question

Find QR. PLEASE HELP!!!

Answer 1

$\sf \bf {\boxed {\mathbb {Given:}}}$

PQ = 3

QR = 2$x$ + 22

PR = $x$ + 17

$\sf \bf {\boxed {\mathbb {To\:find:}}}$

The value of QR.

$\sf \bf {\boxed {\mathbb {Solution:}}}$

$\sf\purple{B. \:6}$

$\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}$

From the figure, we have

PR = PQ + QR

➺$\:x + 17 = 3 + 2x + 22$

➺$\: x - 2x = 25 - 17$

➺$\: - x = 8$

➺$\: x = - 8$

Now,

QR = $2x + 22$

Plugging in the value of $x$, we have

$= \: 2 \times (- 8 )+ 22$

$= \: - 16 + 22$

$= \: 6$

$\sf\pink{Therefore,\: the\: value\: of\: QR\: is\: 6.}$

$\sf \bf {\boxed {\mathbb {To\:verify:}}}$

PR = PQ + QR

➺$\:x + 17 = 3 + 6$

➺$\: - 8 + 17 = 9$

➺$\: 9 = 9$

➺ L. H. S. = R. H. S.

Hence verified.

$\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}$

Answer 2

Answer:

B.6

Step-by-step explanation:

3 + 2x + 22 = x + 17

Combine like terms

25 + 2x = x + 17

Subtract 17 from both sides

8 + 2x = x

Subtract 2x from both sides

8 = -x

Divide both sides by -1

x = -8

Substitute -8 for x in 2x + 22 to find value of QR

2(-8) + 22

Multiply

-16 + 22

Add

QR = 6