Answer:
The answer is 8 feet.
Step-by-step explanation:
Let x = height where the ladder hits the building
7 squared+x squared=25 squared
49+x squared=625
x squared=576
x=24 feet
Let x = distance from wall:
x^2 + 20^2 = 25^2
x^2 + 400 = 625
x^2 = 225
x = 15 feet
I believe that the quotient of 7/8 divided by 3/4 is 1.6 repeating and 1.6 repeating is 1 and 2/3 as a fraction so that means that the quotient of 7/8 by 3/4 is greater than 7/8. I hope this helped.
<span>MNO is similar to GHK by AA Similarity Postulate
Let's start by listing each triangle and the measurements of all three angles. For each triangle, we've been given the measurements of 2 of the angles and the 3 angle will simply be 180 minus the other 2 angles. I assume you can do the subtraction, so I'll simply list each triangle with all three angle measurements.
NMO: 79, 22, 79
GHK: 79, 79, 22
PQR: 20, 79, 81
DEF: 82, 22, 76
And the triangles NMO and GHK are similar to each other since they have the same angles. The order really doesn't matter since it's OK for similar triangles to be rotated or reflected. The key thing to remember in a triangle is that if you've been told what 2 of the angles are, you also know what the 3rd angle is since the sum of the angles of a triangle will always be 180.
So the answer is:
MNO is similar to GHK by AA Similarity Postulate"</span>
Answer:
f(0) = 243 . . . cats at the start
Step-by-step explanation:
The exponential function tells you the number of cats after t years is ...
f(t) = 243(1/3)^t
When t=0, the exponential factor is 1, so the value of the function is the multiplying constant.
f(0) = 243
This means there were 243 stray cats in town when the animal control program started.
Answer:
10
Step-by-step explanation:
the absolute value of a number is the distance from 0
the answer will ALWAYS be positive ;)
