5x+3y=17
3y=-5x+17
y=-5/3y + 17/3
Graph if it asks.
Answer:
A) 6,3
Why?
The midpoint, which is somewhat self-explanatory thanks to its name, is a point in the center of a line.
To answer this question properly, you need to analyze the line and assess the situation.
How did it go from x = 2 to x = 10? Let's see, if we count by two's across the line, you'll notice it makes more sense. So now we know that every square goes up by two. x = 6 is the exact center of the line.
I hope this wasn't confusing, it's tough to explain it!
Problem 23
A = 40
B = 3x+1
C = 3x+1
B and C are congruent, so they have the same angle measure
The three angles of any triangle add to 180 degrees
A+B+C = 180
40+(3x+1)+(3x+1) = 180
6x+42 = 180
6x = 180-42
6x = 138
x = 138/6
x = 23
Answer: B) 23
============================================================
Problem 24
AB is the midsegment parallel to XY
So AB is half that of XY
AB = (1/2)*XY
AB = (1/2)*28
AB = 14
Answer: B) 14
============================================================
Problem 25
Note the ratio of the given rectangle's sides: 7/12 = 0.583 roughly
Divide the answer choices in a similar fashion
A) 5/7 = 0.714
B) 14/36 = 0.389
C) 21/36 = 0.583
D) 21/48 = 0.4375
We get the same result in choice C as we did in the original rectangle
Answer: C) 21 ft x 36 ft
Use this systems of equations to solve:
x = first antifreeze
y = second antifreeze

Isolate y.
x + y = 15
Subtract x from both sides.
y = -x + 15
Substitute y into the other equation.
.2x + .12(-x + 15) = .18(15)
Simplify.
.2x - .12x + 1.8 = 2.7
Subtract 1.8 from both sides.
.08x = .9
Divide both sides by .08
x = 11.25
Substitute x in the equation that we isolated y in.
y = -11.25 + 15
y = 3.75
11.25 L of the first antifreeze and 3.75 L of the second.