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.
x = # of balcony seats
y = # of orchestra seats
We have to create a system of equations to solve this problem
x + y = 256
$8x + $12y = $2,716
We will solve this system of equations by elimination.
Multiply the first equation by -8
-8x - 8y = -2048
8x + 12y = 2716
Let's add the equations together
0 + 4y = 668
Simplify the left side
4y = 668
Divide both sides by 4
y = 167
We can subtract 167 from 257 to get the number of balcony seats.
257 - 167 = 90 balcony seats
There are 167 orchestra seats and 90 balcony seats
1. The problem gives the following information: <span>Ashley said she drank 1/2 pints and Claire said she drank 0.7 pints.
2. Therefore, to solve this problem you must follow the proccedure that is shown below:
3. You must sum the amount of water that Ashley and Claire drank before the practice. Then, you have:
1/2 pints=0.5 pints (Ashley)
0.7 pints (Claire)
x=0.5 pints+0.7 pints
x=1.2 pints
</span><span>
How many pints of water did Ashley and Claire drink combined?
</span><span>
The answer is: 1.2 pints or 1 1/5 pints
</span>
