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.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

x-3y=4

step-by-step e