To solve for the x, distribute first the numerical coefficients to the terms on the parentheses. This becomes,
7x - 21 = 4x + 20
Transpose all the terms with x and the constant on either sides of the equation,
7x - 4x = 20 + 21
3x = 41 ; x = 41 / 3
Thus, the answer is x = 41/3 which is fourth among the choices.
We will calculate this by using ratios and because these two triangles are similar, which is very important.
Explanation:
We see that the FG = 9 corresponds to the VU = 21. Therefore, FH = 18 corresponds to the UW = x.
9 : 21 = 18 : x
x = (21*18)/9
x = 378/9
x = 42.
The correct answer is B. 42.
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