In the following diagram, A || B. Use complete sentences to explain how the special angles created by the intersection of A and B by D can be used to solve for x . Solve for x , showing all of your work. Find the measure of ∠6.

79°

Step-by-step explanation:

We can see that if we add 3x+7 and 4x+5, it will total a 180 degree angle.  This allows us to solve for x.

3x+7+4x+5=180

7x+12=180

7x=180-12

7x=168

x=24

We can also see that angle six is the same as the angle 3x+7.  Since we know x=24, we can solve for those angles.

3(24)+7=

72+7=79

So <6=79 degrees

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.

sadsdda

step-by-step explanation: