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Serjik [45]
3 years ago
15

PLEASE HELP I WILL MARK THE BRAINLIEST

Mathematics
2 answers:
-BARSIC- [3]3 years ago
8 0

Given: lines l and m are parallel, and line t is a transversal.

angle pair result/justification

1 and 2 are equal (vertical angles)

6 and 8 are equal (corresponding angles)

1 and 4 are equal (alternate exterior angles)

4 and 8 are supplementary angles (i.e. add up to 180 degrees, a straight angle)

Note:

alternate angles are on opposite sides of the transversal, and each attached to a different (parallel) line.

If they are both enclosed by the parallel lines, they are alternate interior angles (examples: angles 2 and 3, 6 and 7)

If they are both outside of the two parallel lines, they are alternate exterior angles (examples: angles 1 and 4, 5 and 8)

Reika [66]3 years ago
5 0

Answer:

<1 & <4

Step-by-step explanation:

The only alternate exterior angle pair would be 1 & 4, for the reason that <1 & <2 are vertical, <6 & <8 are corresponding, and <4 & <8 are adjacent.  Therefore, that being said, the only alternate exterior pair would be <1 and <4. Hope this helps!

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Find the equation of this line. y= [?]x+[?]
DochEvi [55]

Answer:

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Step-by-step explanation:

Hi there!

Slope-intercept form: y=mx+b where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when x=0)

<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>

m=\displaystyle\frac{y_2-y_1}{x_2-x_1} where two points that fall on the line are (x_1,y_1) and (x_2,y_2)

On the graph, two points are highlighted for us: (0,-4) and (2,2). Plug these into the formula:

m=\displaystyle\frac{2-(-4)}{2-0}\\\\m=\displaystyle\frac{2+4}{2}\\\\m=\displaystyle\frac{6}{2}\\\\m=3

Therefore, the slope of the line is 3. Plug this into y=mx+b:

y=3x+b

<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>

y=3x+b

Recall that the y-intercept occurs when x=0. Given the point (0,-4), the y-intercept is therefore -4. Plug this into y=3x+b:

y=3x+(-4)\\y=3x-4

I hope this helps!

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Hope it helped :)
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Step-by-step explanation:

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