Answer:
x=13
z=84
Step-by-step explanation:
The intersection of two of these lines actually have relationships. The two angles that have the variable x both add up to 180 degrees since we assume for them to be a straight line, and the angle with '11x-59' is equal to Z since they are vertical from each other.
Knowing this, we can add the two equations together and equal it to 180. This is to give us the variable x.
(11x-59)+(13x-73)=180 (always use parenthesis!)
24x-132=180 (combine like terms)
24x=312
x=13 (isolate x)
We now know that the x stands for 13, but we are not done. By plugging in the variable x in for the equation 11x-59, we can find the value of z since they are vertical angles.
11(13)-59=84
z=84
Answer:
5.11811 inches
Step-by-step explanation:
Answer:
7.$95 8. $112.50
Step-by-step explanation:
7.
50 divided by 100 is 0.5, then times by 90 is 45.
45 plus 50 is 95.
8.
$150/4=$37.50
$150-$37.50=$112.50
Answer:
1. -5
2. 0
Step-by-step explanation:
<em>1.</em> Distribute the Negative Sign:
=a−2a+−1(3a−(4a−5))
=a+−2a+−1(3a)+−1(−4a)+(−1)(5)
=a+−2a+−3a+4a+−5
Combine Like Terms:
=a+−2a+−3a+4a+−5
=(a+−2a+−3a+4a)+(−5)
Answer:
=−5
<em>2. </em>Distribute:
=(13)(5)+(13)(−t)+−5+t+(−12)(5)+(−12)(−t)
=65+−13t+−5+t+−60+12t
Combine Like Terms:
=65+−13t+−5+t+−60+12t
=(−13t+t+12t)+(65+−5+−60)
Answer:
=0
