Answer:
13) y = 21
14) 5 feet
Step-by-step explanation:
Remember, you need to find the angle where 15x - 10. You can do this by equalling 15x-10 to 6x + 62 because they are alternating interior angles and thus are EQUAL TO each other.
Let's do the math:
6x + 62 = 15x - 10
Solve for x and you get x = 8
Substitute 8 for x in 15x - 10 and you get 110 degrees. Great! Now we have the angle of both 6x + 62 and 15x - 10.
Now, we know the angles on the top line should equal 180 degrees total. Now that we know one angle is equal to 110, the other angle should equal:
180 - 110 = 70 degrees.
Now, solve for y
2y + 28 = 70
y = 42/2
y = 21
Number 14:
Use the Pythagorean Theorem:
a^2 + b^2 = c^2
a + 7 = 12
a = 5
