In the following diagram line C intersects line D. Figure may not be drawn to scale.

Using complete sentences, classify the relationship between ∠7 and ∠8 created by the intersection of lines C and D.

Use complete sentences to explain how the special angles created by the intersection of lines C and D can be used to solve for y.

Solve for y and find the measures of ∠7 and ∠8

y = 24

m<7 = 89

m<8 = 89

Step-by-step explanation:

Angles 7 and 8 are nonadjacent angles formed by the intersection of two lines. They are called vertical angles. Vertical angles are congruent, so m<7 = m<8.

Angles 5y - 29 and 3y + 19 are also a pair of vertical angles. They are congruent, so their measures are equal, giving us the following equation:

5y - 29 = 3y + 19

2y =48

y = 24

Now we substitute 24 for y, and we find the measure of angle 3y + 19:

3(24) + 19 = 72 + 19 = 91

m<3y + 19 = 91

Angle 3y + 19 and angle 7 form a linear pair. Angles in a linear pair are supplementary, so their measures add to 180 degrees.

m<7 + (3y + 19) = 180

m<7 + 91 = 180

m<7 = 89

Since angles 7 and 8 are congruent, m<8 = 89.

y = 24

m<7 = 89

m<8 = 89

c

step-by-step explanation:

i think because what else can be a sample of every member

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|