If we identify the lines by ...
1. y = -0.5x -3
2. y = -3.5x -15
3. y = 5x +19
4. y = 1.25x +4
Then the matches are ...
BC - 2
DE - 1
FG - none
HI - 4
JK - none
LM - 3
_____
Whenever there is a lot of repetitive math to do, I usually find it easier to let a calculator or spreadsheet do it. Here, the graphing calculator is computing the slope between the points. The slopes of parallel lines are the same.
The triangle is scalene and obtuse
Answer:
13
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean Theorem

where<em> a</em> and <em>b</em> are the legs and <em>c</em> is the hypotenuse.
We know that the legs are 5 and 12. We also know the hypotenuse is x, or unknown.
Substitute 5 in for <em>a</em>, 12 for <em>b, </em>and x for <em>c.</em>
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Evaluate the exponents.
5^2 is the same as 5*5, which is 25.
12^2 is the same as 12*12, which is 144.

Add 25 and 144

We are trying to find out what <em>x</em> is. In order to do this, we have to get <em>x</em> alone. Since x is being squared, take the square root of both sides. The exponent and square root will cancel, leaving x by itself.

The hypotenuse is 13.
In this expansion there are 5 terms:
3, x, 2, y and 6
And from all of these, the fifth one is 6
Hope it helped,
BioTeacher101