Answer:
The angles are 26 and 64
Step-by-step explanation:
When two angles are complementary, what this means is that the add up to 90 degrees
Now, let’s say one of the angles is x, the other angle is 12 more than twice it; mathematically that would be 2x + 12
Since they add up to be 90, we have
x + 2x + 12 = 90
3x + 12 = 90
3x = 90-12
3x = 78
x = 78/3
x = 26
The other angle is 2x + 12 = 2(26) + 12 = 52 + 12 = 64
Answer:
135
Step-by-step explanation:
The given expression is

From the question, x=5
So,by substitution,we obtain





Hence the answer is 135
Answer:
Perimeter = 317 m
Step-by-step explanation:
Given track is a composite figure having two semicircles and one rectangle.
Perimeter of the given track = Circumference of two semicircles + 2(length of the rectangle)
Circumference of one semicircle = πr [where 'r' = radius of the semicircle]
= 25π
= 25 × 3.14
= 78.5 m
Length of the rectangle = 80 m
Perimeter of the track = 2(78.5) + 2(80)
= 157 + 160
= 317 m
Therefore, perimeter of the track = 317 m
Answer:
the handle will end up on the left side
Step-by-step explanation:
The cup is rotated 180 degrees clockwise. Therefore, I assume the rotation is about the center of the bottom of the cup. Also, only the cup is rotated, not the saucer (although this makes no difference in this problem).
The result is that the handle will end up on the left side. The cup will still be right side up.