Answer: QN = 12
Step-by-step explanation: This quadrilateral is a paralelogram because its 2 opposite sides (NP and MQ) are parallel and the other 2 (MN and PQ) are congruent.
In paralelogram, diagonals bisect each other, which means QR = RN.
If QR = RN:
QR = 6
Then,
QN = QR + RN
QN = 6 + 6
QN = 12
<u>The diagonal QN of quadrilateral MNPQ is </u><u>QN = 12</u><u>.</u>
Answer:
x = -2
y = 5
Step-by-step explanation:
2x - 3y = -19 ---------------------------(I)
7x+ 7y = 21 -----------------------------(II)
Multiply equation (I) by 7 and equation (II) by 3.Then add and so y will be eliminated and you will get the value of x
(I)*7 14x - 21y = - 133
(II)* 3 <u> 21x + 21y = 63 </u> {Now add}
35x = -70
x = -70/35
x = - 2
Plug in x = - 2 in equation (I)
2*(-2) - 3y = -19
-4 - 3y = -19
-3y = -19 + 4
-3y = -15
y = -15/-3
y = 5
Wrong because you need to add the -2 to the 8.... I hope this helps
Answer:

Step-by-step explanation:
Observing the figure
we know that
----> by supplementary angles
Solve for x
