Line a and Line b are parallel.
∠x = 34° (alternative angles on a parallel line are equal)
Answer: ∠x = 34° (option C)
Answer:
a. corresponding angle theorem
b. vertical angle theorem
c. alternate interior angle theorem
Answer: I believe his earnings would be 187$ once he teaches 7 classes.
Step-by-step explanation:
$187-$68=$111
17 x ? = 119
(take the 17$ which is the amount of money he'll earn each class and divide by 111. as seen below:
$111/17$=$6.5 (round to $7)
(you then plug in the 17 for 7 x ? = 119)
7x17=119
now you have to add the 68$ that he will get per month.
119+68=187
then you get 187$ which he had spent on the certificate
-8 ........................
Answer:
2
Step-by-step explanation:
By the triangle proportionality theorem,

From this, we know that y = -1/2 or 2.
However, as distance must be positive, we disregard the negative case, giving us y = 2.