From the following figure, how can you conclude that lines l and m are parallel? a) corresponding angles postulate b) alternate exterior angles theorem c) alternate interior angles theorem d) same side interior angles theorem

C) Alternate interior angles theorem.

Step-by-step explanation:

Given : Figure with two line l and m ans alternates interior angle 70°

To find : how can you conclude that lines l and m are parallel.

Solution : We have given that two line l and m ans alternates interior angle 70°.

Two angle are alternate and interior to the line l and m .

Hence they are congruent to each other .

By the alternates interior angle theorem :   if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.

Therefore, C) Alternate interior angles theorem.

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.