Option 3:
m∠ABC = 66°
Solution:
Given 
and ABH is a transversal line.
m∠FAB = 48° and m∠ECB = 18°
m∠ECB = m∠HCB = 18°
<u>Property of parallel lines:
</u>
<em>If two parallel lines cut by a transversal, then the alternate interior angles are equal.</em>
m∠FAB = m∠BHC
48° = m∠BHC
m∠BHC = 48°
<u>Exterior angle of a triangle theorem:
</u>
<em>An exterior angle of a triangle is equal to the sum of the opposite interior angles.</em>
m∠ABC = m∠BHC + m∠HCB
m∠ABC = 48° + 18°
m∠ABC = 66°
Option 3 is the correct answer.
Am not sure but i think it would be A
Answer:
Step-by-step explanation:
This solid figure is a cone,
Volume=(πr²H)/3 cubic units
r ----> radius
H -------> height
Answer:
55.71 ft.
Step-by-step explanation:
hope this helps have a good day!
Answer:
<h2>
first piece: 5 in</h2><h2>
second piece: 10 in</h2><h2>
third piece: 32 in </h2>
Step-by-step explanation:
x - the length of the <u>first piec</u>e
2x - twice the length of the first piece (the length of the <u>second piece</u>)
6x - six times the length of the first piece
two inches more:
6x+2 - the length of the <u>third piec</u>e
first + second + third = 47 in {total length of the pieces of steel}
x + 2x + 6x + 2 = 47
9x + 2 = 47
9x = 45
x = 45:9
x = 5 in
first piece: 5 in
second piece: 2×5 = 10 in
third piece: 6×5 + 2 = 30 + 2 = 32 in
