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larisa [96]
3 years ago
14

PLEASE explain your answer! What is the value of q?

Mathematics
2 answers:
andrew-mc [135]3 years ago
7 0

Answer:

The answer two your question is: 2 √14

Step-by-step explanation:

Use proportions to solve this exercise

Work with two triangles  ΔRSQ and ΔRTS

Side RQ = 14

Side RS = q

Side RS = q

Side RT = 4

                     14/q = q/4                            Solve for q

                     56 = q²

                     q = √56

Find prime factors of 56

                   56    2

                   28    2

                   14     2

                     7    7

                     1                     Then 56 = (2²)(2)(7)

                             =  √(2²)(2)(7)

                             = 2 √ 14

                     

Aliun [14]3 years ago
3 0

Answer:

B

Step-by-step explanation:

ΔSQR and ΔTRS are similar.

\frac{QR}{SR} =\frac{SR}{TR} \\\frac{14}{q} =\frac{q}{4} \\\\q^2=56\\q=\sqrt{56} =2\sqrt{14}

so B

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