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:
Radius = 5.1
Diameter = 10.2
Step-by-step explanation:
Radius is a straight line that connects the center of a circle to a point on the circumference (outside of the circle).
Diameter is a straight line that goes through the center of a circle and connects two points on the circumference (outside of the circle).
The line shown goes from the center to the outside of the circle, so it is the radius
This is a triangle
To find the area, count the side (which is 5)
You can see that the peak opposite of the side is 7 units in length, that is the height
The formula for the area of the triangle is
A = (b * h)/2
b = 5
h = 7
A = (5 * 7)/2
A = 35/2
A = 17.5
Hope this helps
<span>Each ticket costs $10. He bought "x" tickets. Ticket cost = 10*x
Each bag of popcorn costs $5.
He bought "y" bags of popcorn.
Popcorn cost = 5*y
Service fee: $3
Total cost = 10x + 5y + 3 <= $75 is the inequality.
10x + 5y <= 72
If x = 4,
then 40 + 5y <= 72
5y <= 32
y <= 6.4
So y = 6 bags of popcorn.</span>
