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Find the value of x. Round the answer to the nearest tenth, if needed.


A.

9

B.

18.9

C.

22

D.

32.1

Find the value of x. Round the answer to the nearest tenth, if needed. A. 9 B. 18.9 C. 22 D. 32.1 class=

Verified Answer :

nobillionaireNobley

x/49 = 21/x
x^2 = 21(49) = 1029
x = √1029 = 32.1
x = 32.1

MissPhiladelphia

From the figure, we can set up three equations with three unknowns so that we can calculate the value x. The equations are as follows:

y^2 = x^2 + 49^2 ---> 
70^2 = z^2 + y^2
z^2 = 21^2 + x^2

Solving simultaneously, we obtain,
x = 7√21 = 32.1 <------- OPTION D


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