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.
Answer:
156 players
Step-by-step explanation:
The 9 players for baseball and 11 players for football are added. 9 + 11 = 20.
Once you have 20, you can multiply it by the 6 schools. Which gets you 120 players so far.
After you multiply the 4 schools by the 9 players for baseball. You’ll get 36. Add the 120 players to 36 players and you’ll get 156 players for the 10 schools in total
3 and -3
They are both the same distance from zero (definition of absolution value)
Answer:
7x+9
Step-by-step explanation:
f(x)=7x-5
g(x)=x+2
f[g(x)]= Substitute g(x) in for x in the function f(x)
=7(g(x))-5
= 7( x+2) - 5
Distribute
= 7x+14 - 5
Combine like terms
=7x +9
(f + g)(x) is equal to f(x) + g(x).
So (f + g)(x) = (3x + 5) + (-2x^2 - 5x + 3) = -2x^2 - 2x + 8
which is choice C.
