Answer:
Converse Same- Side Interior Angles Theorem
Step-by-step explanation:
65+115=180 is not on the same side, therefore the only option remaining is Converse Same- Side Interior Angles Theorem
Answer:
The equation is 
..
The length of the towel bar is 
..
Step-by-step explanation:
Given,
Length of the door = 
we can rewrite as 
.
We have to find out the length of the towel bar.
Let the length of towel bar be 'x'
`Since Vita wants that the distance from each end of the towel bar to the end of the door to be 9 inches.
So we can say that the length of the towel bar plus from each end of the towel bar to the end of the door plus from each end of the towel bar to the end of the door is equal to length of door.
framing in equation form, we get;
Hence The equation is .
Now we solve the equation we get;
Subtracting both side by 18 we get;
Now we will make the denominator common we get;
Hence The length of the towel bar is .
Answer:
20
Step-by-step explanation:
which side is x ? the Hypotenuse - the side opposite of the 90 degree angle ? or is it one side touching the 90 degree angle ?
that is important. we need to know which side is the Hypotenuse to make the right calculations.
if I assume x is the Hypotenuse, then the calculation follows Pythagoras like this
x² = 12² + 16² = 144 + 256 = 400
x = sqrt(400) = 20
but just in case, if x is a side touching the 90 degrees angle, then the would look like this (depending on which of the other sides is the Hypotenuse)
either
12² = 16² + x²
144 = 256 + x²
-112 = x²
that did not work. a square root of a negative number did not work for actual distances.
or
16² = 12² + x²
256 = 144 + x²
112 = x²
x = sqrt(112) = 10.58
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