Answer:
Step-by-step explanation:
Angles 3, 4, and 5 are supplementary to each other, meaning that all of them added together equal 180. Therefore, to solve for x:
x + 18 + x + 15 + 4x + 3 = 180 and
6x + 36 = 180 and
6x = 144 so
x = 24
Angles 1 and 3 are vertical angles, so they are congruent, meaning they both have the exact same angle measure. If angle 3 measures, x + 18, so does angle 1. If x = 24, then angle 1 = 24 + 18 which is 42 degrees.
That also answered part c. Angles 1 and 3 are not complementary, they are vertical.
So we know that the area of only the pool is 198 ft^2. To find the area of the entire yard, multiply length times width so:
Area of yard = 22 ft x 30 ft
Area of yard = 660 ft^2
Now subtract the pool area from the yard area:
660 - 198 = 462
So the area of only the yard is 462 ft^2
Hope this helps!!
Answer: False
Step-by-step explanation:
-54 + 6 × 2 = 0
-54 + 12 = 0
-42 = 0
^^^^^^^^^^^^^^^
False
Answer:
160°
Step-by-step explanation:
-Given the angle in radians as 
-We know that 
-Let our angle theta be X
#We therefore equate and cross multiply:
Hence, angle θ is 160°
