Answer:
And the reasoning behind this calculation is because they're alternate angles on parallel lines. So, therefore, we can say, using the information that we've been given, we can say that the measure of angle is equal to 127 degrees
Answer:
9.33 feet = 111.96 inches
Step-by-step explanation:
If we have similar triangles, the rate between matching sides is the same.
So the length of the smaller ladder (18 ft) over the length of the taller ladder (24 ft) is equal to the distance from the bottom of the smaller ladder to the tree (7 ft) over the distance from the bottom of the taller ladder to the tree (x ft):
18 / 7 = 24 / x
x = 7 * 24 / 18
x = 9.33 feet
To find this measure in inches, we just need to multiply by 12:
x = 9.33 * 12 = 111.96 inches
Answer:

Step-by-step explanation:
Given

Required
Factor

Express
as
and
as 
So, we have:

Apply distributive property

is the greatest number that divides both numbers.