4x - 24y = 72
First subtract 4x from each side
-24y = -4x + 72
Divide each side by -24 so y is by itself
y = -4/-24x + 72/-24
To simplify -4/-24, the greatest common factor they have is -4, so divide the numerator and denominator by -4
y = 1/6x + 72/-24
To simplify 72/-24, the greatest common factor is 24, so divide the numerator and denominator by 24
y = 1/6x - 3
This is now in slope intercept form
$252/$28=9 lawns. $252 is the total money they earned, so divide it by the amount of money they charge per lawn.
1) Y intercept is -5. x is about1.25
2) Y intercept is +2. X is -2
3) Duplicate question
Looks like the labeled angle is bisected, in which case we can apply the angle bisector theorem. For this triangle, it says
Solve for 
:
Then either 
or 
, but since is a length, it must be positive. So <em>x</em> = 2.
Answer:
x = 57
Step-by-step explanation:
XZ divides <WXY into two equal parts. Which implies that:
m<ZXY = m<ZXW
Therefore:
m<WXY = 2(m<ZXY)
m<ZXY = 58°
m<WXY = 2x + 2
Plug in the values into the equation
2x + 2 = 2(58)
2x + 2 = 116
2x = 116 - 2 (subtraction property of equality)
2x = 114
x = 114/2 (division property of equality)
x = 57
