Answer:
Step-by-step explanation:
Answer:
A) reflection over the x-axis, plus a vertical translation
Answer:
x = 25
<B = 120 degrees
<C = 30 degrees
Step-by-step explanation:
Total angle measure of a triangle - 180 degrees
Add all the angles together to find the value of x
30 + 4x + 20 + x + 5 = 180
55 + 5x = 180
55 - 55 + 5x = 180 - 55
5x = 125

x = 25
<B = 4(25) + 20
<B = 100 + 20
<B = 120
<C = 25 + 5
<C = 30
Answer:
The length of the semicircle arc is 6π
Step-by-step explanation:
To solve this problem we need to use the circumferenc formula of a circle:
c = circumference
r = radius = 12
π = pi
c = π * d
we replace with the known values
c = π * 12
c = 12π
The length of the circumference is 12π
N
ow we divide the circumference by 2 and we will obtain the length of the arc of the semicircle
12π / 2 = 6π
The length of the semicircle arc is 6π