Explain your answer! what is the value of q?

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

B

Step-by-step explanation:

ΔSQR and ΔTRS are similar.

so B

so, converting firstly the mixed fractions to improper fractions and then "adding".

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step-by-step explanation: