Answer:
100 degrees
Step-by-step explanation:
We can start by finding angle y, which is supplementary to 160.
180-160=20
angle y = 20 degrees.
With that, we can find angle w using the interior-exterior sangle theorem (or whatever name you use for it) which states that "the measure of an exterior angle of a triangle equals the sum of the measures of two remote interior angles". In other words:
angle w = angle y + 80
angle w = 20+80
angle w = 100.
The final answer is 100 degrees.
I hope this helped! :D
Answer:
y I z
Step-by-step explanation:
We can see that y I b and z I b we can conclude also that
y I z.
This is all about operations priority! We have to perform the operations in the right order, remembering that parentheses come first, then powers, then multiplications and then additions:
Start with
Perform the operations inside parenthesis first:
Perform the square:
Perform the product:
Perform the sum:
Note: you have an extra parenthesis at the end, and none of the options meets the result. I'm afraid that there's a typo in the question, but this should still give you a valid strategy to solve the actual exercise.
Answer:
73.12 cm
Step-by-step explanation:
The perimeter of the square is 3 sides of the square (the 4th side is not included because of the semicircle)
P square = 3 s
=3 (16)
=48 cm
The perimeter of the semicircle is 1/2 of the circumference of a circle
P semicircle = 1/2 (pi *d)
=1/2 (pi* 16)
= 8 pi
= 8 (3.14)
=25.12 cm
The total perimeter is the sum of the square and the circle
P total = P square + P semicircle
=48+25.12
=73.12 cm
