Answer:
Dorsey = 4.8 hours
Campbell = 24 hours
Step-by-step explanation:
It takes "x" hours for Dorsey
So, it will take 5 times more for Campbell, so
It takes "5x" hours for Campbell
Rate is inverse of time, so rates are:
Dorsey: 1/x
Campbell: 1/5x
We know Rate * Time = Work
When together, it takes 4 hours to finish a work, so we can write:

Solving for x, we get the time of Dorsey:

Dorsey takes 4.8 hours alone
Campbell takes 4.8 * 5 = 24 hours alone
Answer:
root
Step-by-step explanation:
The Definition of Linear Pair states that both ∠ABC and ∠CBD are equal to 180 degrees. In the question, this tells you that
m∠ABC and m∠CBD = (3x − 6).
So, you're equation should be (3x - 6) + (3x - 6) = 180.
You would then solve to get 6x - 12 = 180, 6x = 192, x = 32
x=32, and we used the Linear Pair Theorem (C)
Answer:
Step-by-step explanation:
In order to find the value of y, first we need to find the length of the perpendicular dropped from one of the vertices of the triangle to its opposite side.
By geometric mean theorem:
Length of the perpendicular
Next, by Pythagoras theorem:

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