Answer anybody?? i can't do math like at all lol

Essentially, what we're looking at here are two alternate interior angles.

Wait. What? Alternate interior angles?

It sounds like some super fancy math jargon, but it's a fairly simple concept that I'll try my best to explain. First, let's look at lines L and M as two parallel lines, meaning that these two are lines with equal slopes, and will never intersect. See that line that goes in between the parallel lines L and M? That's called a transversal. It's basically a line that goes through two parallel lines.

Now we know that there's a transversal going through the parallel lines. So what? Well, there's a couple of special attributes to transversals. See the two angles, 7x-7 and 4x+14? As you can tell, these two angles alternate in the interior space between the transversal and the parallel lines.

Alternate interior angles are equal. There's a way to prove that they're equal, but I won't bore you with the specifics since that's not what the question's asking.

If the angles need to be equal for lines L and M to be parallel, we can make an equation that'll solve for x:

7x - 7 = 4x + 14

Subtract 4x from both sides:

7x - 4 x - 7 = 4x - 4x + 14

3x - 7 = 14

Add 7 to both sides:

3x - 7 + 7 = 14 + 7

3x = 21

Divide both sides by 3 to completely isolate x:

=

x = 7

And that's our answer! If you need me to explain anything any further, just ask!

- breezyツ

3/20

step-by-step explanation:

well, there are 20 outcomes, and 3 of them you want. so, 3/20

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9