Given the median QR and trapezoid MNOP, what is the value of x? N
4x - 16
o
X + 16
R
32
M M
O A. 6.5
O B. 12.8
O C. 8
O D. O
O E. 2
O F. Cannot be determined

D)  0

Step-by-step explanation:

QR = 1/2·MP

x+16 = 32/2

x+16 = 16

x = 0

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions