What is the value of d?
d = 55
d = 75
d = 125 d = 155

answer

Check the picture below.

C.d=125

Step-by-step explanation:

We are given that two parallel lines r and s intersect by  a transversal line q.

We have to find the value of d.

Vertical angles: When two lines intersect then the pair of opposite angles formed by intersecting lines are called vertical angles.

Vertical angles theorem:It states that vertical angles that are opposite to each other formed by two intersecting lines are congruent.

d and 125 degrees are vertical angles because these angle formed by two intersecting lines q and s and opposite to each other.

Therefore, by vertical angles theorem

Hence, the value of .

Option C is true.

trapezoid

step-by-step explanation:

first i plotted all my points on a grid graph

i made sure all of them were in the correct quadrant

then i saw it was a trapezoid or a quadrilateral

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional