Given the median QR and trapezoid MNOP what is the value of x​

Given the median QR and trapezoid MNOP what is the value of x​

Answers

4x -16 would be -64

and x + 16 is m=1

i think its 6.5

Step-by-step explanation:

6 on apex for sure

7

Step-by-step explanation:a p e x

Option C:

The value of x is 8.

Solution:

Given MNOP is a trapezoid.

QR is the mid-segment of the trapezoid.

NO = 4x – 16, MP = 32, QR = x + 16

The mid-segment of a trapezoid is half the of the sum of the two parallel sides.

$QR=frac{1}{2}(NO+MP)

$x+16=frac{1}{2}(4x-16+32)

$x+16=frac{1}{2}(4x+16)

Do cross multiplication.

2(x+16)=(4x+16)

2x+32=4x+16

Subtract 16 on both sides.

2x+16=4x

Subtract 2x on both sides of the equation.

16=2x

Divide by 2 on both sides of the equation.

8 = x

x = 8

Option C is the correct answer.

Hence the value of x is 8.

The correct answer is option A.   6

Step-by-step explanation:

It is given that, QR is the median of trapezoid MNOP

To find the value of x

From the given information we can write,

MP + ON = 2(QR)

9x - 42 + 30  = 2(x + 15)

9x - 42 + 30 = 2x + 30

9x - 2x = 42

7x = 42

x = 42/7 =6

Theerfore the correct answer is option A.  6

The value of x is 6

Step-by-step explanation:

Here, we want to calculate the length of the mid-segment

Mathematically;

if we add the length of the two parallel bases and divide by 2, we get the length of the mid-segment

Thus;

(x + 8 + 5x + 4)/2 = 24

6x + 12 = 2(24)

6x + 12 = 48

6x = 48-12

6x = 36

x = 36/6

x = 6

A.6

Step-by-step explanation:

hope it helps.....

have a great day!!


Given the median QR and trapezoid MNOP what is the value of x​

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