What is the value of d? a.42.5 b.55 c.70 d.85

D.85

Step-by-step explanation:

In a cyclic quadrilateral , the sum of the opposite angles is 180 degrees.

In the given figure it can be seen that D° and 95° are the measure of opposite angles in the cyclic quadrilateral.

Then ,  

i.e.

Subtract 95 from both the sides , we get

That means , the value of D is 85.

Hence , the correct option is D. 85

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )