These triangles are similar because 2 pairs of angles are equal. I'm not very familiar with the acronyms in the list but I guess it must be AA.
Answer:
Graph the point (1, -4), then proceed to use the slope either way. for example another point would be (-2, -5)
Let’s call the number of gallons of 30% solution “x”. If we mix together 40 gallons and x gallons of solution, we’re going to come out with a total of 40 + x gallons of that 20% solution. Mathematically, this is
40(12%) + x(30%) = (40 + x)(20%)
With the percents as decimals:
40(0.12) + x(0.3) = (40 + x)(0.2)
Simplifying, we have:
4.8 + 0.3x = 8 + 0.2x
Collecting the x terms on one side and the constants on the other:
0.1x = 3.2
And multiplying both sides by 10 to find x:
x = 32
So, you’ll need 32 gallons of 30% solution to yield 40 + 32 = 72 gallons of 20% solution.
Answer:
The standard form of an equation of the line that passes through the given point having slope is 
Step-by-step explanation:
The standard form of an equation of the line that passes through the given point (
and having slope m is

another form of an equation of the line that passes through the given point (
and having slope m is

y=m x
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