Use the distributive property to find the equivalent expression. 7(8 + d) =
1 answer:
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Answer:
The measures of the acute angles are 38 and 52 degrees.
Step-by-step explanation:
In a right triangle, there are three angles, a right angle and two acute angles. In every traingle, the sum of the measures of the angles is 180 degrees. Let's call the acute angles and
.
The problem also says that one angle is twice the difference of the other angle and 12. That would look like this:
Now we have two equations. If we simplify them, we get these:
Now you can substitute in the first equation for
in the second equation
Add to both sides of the equation
Add to both sides
Divide both sides by 3
Now, you can substitute for
in the first equation and simplify.
Therefore,
, and
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Hello LovingAngel!
To find the slope, you can use the formulas
as well as 
. I am using the latter to calculate and ensuring my answer with the former.
[Note: (x,y) is the format for ordered pairs]
First pair: value 1:(1,5) and value 2:(2,8)
-> 
-> 
or 3.
The slope for (1,5) and (2,8) is 3(/1).
Second pair: value 1: (3,1) value 2 (3,-1)
-> 
-> 
Slope for the second pair is -2/0
Checking work with
1. Slope: 3/1, meaning rise (y) +3 and run (x) +1. (1,5) -> (1+1,5 + 3) -> (2,8) ✔
2. Slope: -2/0, meaning rise (y) -2/drop (y) 2 and run 0. (3,1) -> (3 + 0, 1 + -2) -> (3,-1) <span>✔</span>
To find the slope, you can use the formulas
[Note: (x,y) is the format for ordered pairs]
First pair: value 1:(1,5) and value 2:(2,8)
The slope for (1,5) and (2,8) is 3(/1).
Second pair: value 1: (3,1) value 2 (3,-1)
Slope for the second pair is -2/0
Checking work with
1. Slope: 3/1, meaning rise (y) +3 and run (x) +1. (1,5) -> (1+1,5 + 3) -> (2,8) ✔
2. Slope: -2/0, meaning rise (y) -2/drop (y) 2 and run 0. (3,1) -> (3 + 0, 1 + -2) -> (3,-1) <span>✔</span>