Answer:
z=44
Step-by-step explanation:
One way to go about this with the given angles is to use the alternate interior angles theorem to find the full measure of ∠C and ∠A. Then, use the same theorem to set ∠BDA as 52°. Subtract all the angle measures from 360 (because the sum of the interior angles of a quadrilateral is = 360 degrees). Then divide the result by 2.
360-84-84-52-52=88
=88/2
=44
So z=44°
Answer:
x = 105°
Step-by-step explanation:
Question :

You can use cross multiplication to solve this.
Let us solve now

12 × x = 35 × 36
12x = 1260
Divide both sides by 12.
x = 105°
Hope this helps you :-)
Answer:

Step-by-step explanation:
A = the area of the region outside the semicircle but inside the rectangle
w = the width of the rectangle or diameter of the semicircle
Since "A" is determined by "w", therefore, "A" is a function of "w" = A(w).
A(w) = (area of rectangle) - (area of semicircle)

Where,
lenght of rectangle (l) = w + 5
width of rectangle (w) = w
r = ½*w = 
Plug in the values:


Simplify




