Answer:
The shortest side = 6
The third side = 9
The hypotenuse (the longest side) = 16
Step-by-step explanation:
First, let's establish the following based on the information given:
The shortest side = x
The third side = (x + 3)
The hypotenuse (the longest side) = (2x + 4)
The perimeter = 31
Since the perimeter is the total of all 3 sides, we are left with this equation:
(x) + (x + 3) + (2x + 4) = 31
From here, combine like-terms and solve for x.
(x) + (x + 3) + (2x + 4) = 31
(4x + 7) = 31
4x = 24
x = 6
Now that we know the value of x, we can apply this to the predetermined formulas to find the measurements of the remaining two sides.
The shortest side = 6
The third side = (x + 3) = 9
The hypotenuse (the longest side) = (2x + 4) = (2(6) + 4) = (12 + 4) = 16
To check, add all of the sides together to make sure they equal 31.
6 + 9 + 16 = 31
~Hope this Helps!~
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Answer:
inches
Step-by-step explanation:
The total length of pipe is 10 2/3rd inches
It is cut into 8 equal pieces
We need to divide total length by 8 to get length of each piece. First, we have to convert mixed number (total length) to improper fraction by using formula shown below:
So,
Each piece length is:
So, each piece is inches
Answer:
x = 11.4
Step-by-step explanation:
The sum of the angles of any triangle must add up to 180°. Since we have the expressions for each angle: 5x, 8x, and (2x +9), we can solve for the variable of 'x' by adding the expressions together and setting them equal to 180:
5x + 8x + (2x +9) = 180
Combine like terms: 15x + 9 = 180
Use inverse operations: 15x + 9 - 9 = 180 - 9
15x = 171 or x = 11.4
Check: 5(11.4) + 8(11.4) + 2(11.4) + 9 = 57 + 91.2 + 22.8 + 9 = 180
