Answer:
x = 32
m∠7 = 94
m∠8 = 86
m∠3 = 94
Step-by-step explanation:
(2x + 30) + (3x - 10) = 180
5x + 20 = 180
5x = 160
x = 32
m∠7 = 2(32) + 30 = 94
m∠8 = 3(32) - 10 = 86
<u>or</u>
m∠8 = 180 - 94 = 86
<u>m∠3 ≈ m∠7</u> (corresponding angles)
By knowing the circumference of the base of the cone, we see that the radius is 4 centimeters.
<h3>
How to find the radius of the cone?</h3>
Notice that in the first figure, the length of the arc AB is L = 8π cm.
Then, that arc will be the bottom part of the cone. Then we can see that the circumference of the base of the cone will be equal to the length of the arc.
And remember that for a circle of radius R (like the base of the cone), the circumference is:
C = 2πR.
Then we will get:
8π cm = C = 2πR
( 8π cm)/ 2π = R
4cm = R
The radius of the cone is 4cm.
If you want to learn more about circles:
brainly.com/question/1559324
#SPJ1
8(x)+8(2)
8x+16
8 divided by 16 = 2
Answer:
290
Step-by-step explanation:
80+40=120
120+170=290
290
Answer:
hope this helps
Step-by-step explanation:
1/4×3=3/4
1/3×4=1 1/3
1/2×3=1 1/2
now add all the fractions together
