Look at picture for answer! :)
Since we have two sides that are twice as long as the third side, we can designate each side as follows:
First side of triangle: 2x
Second side of triangle: 2x
Third side of triangle: x
Since all three sides add up to equal 60, we can set up the following equation and solve for each side:
(x) + (2x) + (2x) = 60
5x = 60 --> x = 12
Side 1 length: 2x = 2(12) = 24
Side 2 length: 2x = 2(12) = 24
Side 3 length: x = 12
I hope this helps!!
Answer:
124
Step-by-step explanation:
we are given 146 right away.
That little square means a 90 degree angle
146 + 90 = 236
360 - 236 = 124
(360 degrees is the sum of a complete circle.)
Answer:
81.25 mL
Why?
Total amount of millilitres: 125 mL
Let x represent the millilitres of acid.
Let a represent the amount of acid in the 50 mL solution.
Let b represent the amount of acid in the 75 mL solution.
This means that x = 125 - (a + b)
So, a = 0.2*50
a = 10
So, b = 0.45*75
b = 33.75
Plug it into our equation;
x = 125 - (a + b)
x = 125 - (10 + 33.75)
x = 125 - 43.75
x = 81.25
Therefore, 81.25 mL of the 125 mL mixture is acid.
Alternate solution:
Let x represent the millilitres of acid.
Let a represent the number of millilitres in the mixture.
Let b represent the percentage of acid in the mixture.
This means that x = b*a
So, a = 50 + 75
a = 125
So, b = 0.2 + 0.45
b = 0.65
Plug it into our equation;
x = b*a
x = 0.65*125
x = 81.25
Therefore, 81.25 mL of the 125 mL mixture is acid.
(Hope this helps)
Answer:
2ax(y-2ay^2+3a^2x)
Step-by-step explanation:
2axy-4a^2xy^2+6a^3x^2
Given data
we have the following expression
2axy-4a^2xy^2+6a^3x^2
let us factor this expression
we have
2ax(y-2ay^2+3a^2x)
The common factor is 2ax
And the factorized expression is 2ax(y-2ay^2+3a^2x)
