Determine which lines are parallel, given that angle 4= 112 and angle 16=68

lines l and n are parallel

Step-by-step explanation:

Look at line q. It is a transversal to lines l and n.

m<4 = 112 and m<16 = 68.

m<4 + m< 16 = 112 + 68 = 180

Angles 4 and 16 are supplementary.

Angles 4 and 16 are same side interior angles of lines l and n and the transversal q.

Theorem:

If two lines are intersected by a transversal, such that same side interior angles are supplementary, then the two lines are parallel.

lines l and n are parallel (is that choice D.?)

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.