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lord [1]
3 years ago
15

Find QR. PLEASE HELP!!!

Mathematics
2 answers:
Harman [31]3 years ago
7 0

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

PQ = 3

QR = 2x + 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{❦}}}}}

olchik [2.2K]3 years ago
5 0

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

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