X= 55 degrees ...........
The picture in the attached figure
Part 1) <span>
What is the total area of the swimming pool?</span>
we know that
<span>area of the swimming pool=area rectangle-area semi circle
area rectangle=20*36-----> 720 ft</span>²
area semicircle=pi*r²/2
r=18/2----> 9 ft
area semicircle=pi*9²/2----> 127.17 ft²
area of the swimming pool=720 ft²-127.17 ft²----> 592.83 ft²
the answer Part 1) isThe area of the swimming pool is 592.83 ft²Part 2) <span>What is the perimeter of the swimming pool?
</span>
perimeter of the swimming pool=perimeter of rectangle-18 ft+perimeter semi circle
perimeter of rectangle=2*[20+36]---> 112 ft
perimeter semi circle=2*pi*r/2----> pi*r
r=9 ft
perimeter semi circle=pi*9----> 28.26 ft
so
perimeter of the swimming pool=112 ft-18 ft+28.26 ft----> 122.26 ft
the answer Part 2) is122.26 ft
M=6/5 and n = sqrt(2), is rational (but not an integer) and n is irrational.
The case with n = sqrt(9)=3, is not a solution. The case with m=4pi neither.
The last case is m = 6/2=3, integer, so neither works.
So, it is the one with m=6/5 and sqrt(2)
I’m not to sure because the picture is blurry
See the picture in the attached figure
we know that
There are six important properties of parallelograms to know:
<span>1) Opposite sides are congruent (AB = DC).
2) Opposite angels are congruent (D = B).
3) Consecutive angles are supplementary (A + D = 180°).
4) If one angle is right, then all angles are right.
5) The diagonals of a parallelogram bisect each other.<span>6) Each diagonal of a parallelogram separates it into two congruent triangles.
so
if t</span></span>he diagonals of a parallelogram bisect each other
then
AE=EC
AC=AE+EC------> AC=2*AE----> AE=AC/2----> AE=18/2----> AE=9 units
the answer isAE=9 units