A because you have to make 16/32 into 1/2, and 4/16 is not a half.
Answer:
y = 12
Step-by-step explanation:
∵ m∠ABC = 40
∵ BD ray is the bisector of ∠ABC
∴ m∠ABD = m∠CBD = 20
In 2 Δ BAD and BCD:
∵ m∠BAD = m∠BCD = 90°
∵ m∠ABD = m∠CBD = 20°
∵ BD is a common side in the two triangles
∴ ΔABD congruent to ΔCBD⇒(AAS)
∴ AD = CD
∴ 3y + 6 = 5y - 18
∴ 5y - 3y = 6 + 18
∴ 2y = 24
∴ y = 24/2 = 12
Answer:

Step-by-step explanation:
Let's start by taking a look at the blue line. The slope of any line that passes through two points is equal to the change in y-values over the change in x-values. We can see that the line passes through points (0, 1) and (1, 0). Assign these points to
and
(doesn't matter which you assign) and use the slope formula:

Let:

The slope is equal to:

Therefore, the slope of this line is -1. In slope-intercept form
,
represents slope, so one of the lines must have a term with
in it, which eliminates answer choices A and D.
For the second line, do the same thing. The red line clearly passes through (0, -3) and (3, -2). Therefore, let:

Using the slope formula:

Thus, the slope of the line is 1/3 and the other line must have a term with
in it, eliminating answer choice C and leaving the answer 
*You can find the exact equation of each line by using the slope formula as shown and plugging in any point the line passes through into 
Just divide.

0.583333. . .
^ This is the thousandths place
Look at the number after that, if it's 5 or more we round up, if it's 4 or less we round down.
It's 3, so we round down to 0.583.