We can use the Pythagorean theorem to solve for the perimeter of the kite.
a² + b² = c²
3² + 4² = UV²
9 + 16 = UV²
25 = UV²
√25 = √UV²
5 = UV
In the kite, adjacent sides are the same so UV = VW
3² + 9² = UX²
9 + 81 = UX²
90 = UX²
√90 = √UX²
9.49 ≈ UX or 3√10 ≈ UX
Now, add to find the perimeter.
5 + 5 + 9.49 + 9.49 or 5 + 5 + 3√10 + 3√10
28.98 or 10 + 6√10
Therefore, the perimeter is approximately 28.98 or 10 + 6√10
Best of Luck!
Answer: The distace between midpoints of AP and QB is
.
Step-by-step explanation: Points P and Q are between points A and B and the segment AB measures a, then:
AP + PQ + QB = a
According to the question, AP = 2 PQ = 2QB, so:
PQ =
QB = 
Substituing:
AP + 2*(
) = a
2AP = a
AP = 
Since the distance is between midpoints of AP and QB:
2QB = AP
QB = 
QB = 
QB = 
MIdpoint is the point that divides the segment in half, so:
<u>Midpoint of AP</u>:


<u>Midpoint of QB</u>:


The distance is:
d = 
d = 
2/x-9. You must divide 2 by x first to follow the order of operations then subtract by nine.
Answer:
y>0
Step-by-step explanation:
This is because no matter what x-value you enter, the fact that it's an even exponent will make the y-value always positive. And regardless of the 4 in the exponent, you can still have values less than 4 (but still positive).
Make drawing (see attachment)
do big rectangle minus triangle
big rectangle area=lenght timess width=22 times 33=726 square feet
triangle=1/2 times base times height=1/2 times 9 times 10=45 square feet
rectangle-triangle=726-45=681 square feet