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Question 6 of 10Given the median OR and trapezoid MNOP, what is the value of X?N3X-8033R7x + 4MPO A. 6O B. 18O C. 2O D. 5O E. 7O F. Cannot be determined

Question 6 of 10Given the median OR and trapezoid MNOP what is the value of XN3X8033R7x 4MPO A 6O B 18O C 2O D 5O E 7O F Cannot be determined class=

Respuesta :

Answer: E. 7

Explanation:

The length of the median of a trapezoid is half the sum of the two parallel sides. From the information given,

Median = QR = 33

parallel side = ON = 3x - 8

Other parallel side PM = 7x + 4

By applyingthe eformula we have3

33 = 1/2(3x - 8 + 7x + 4)

By cross multiplying, we hve

33 * 2 = 3x + 7x - 8 + 4

66 = 10x - 4

10x = 66 + 4

10x = 70

x = 70/10

x = 7

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