Question

Find the value of x for which p ll q.

Answer 1

Answer:

x = 9

Step-by-step explanation:

If p and q are parallel lines then the two angles are alternate interior angles and are equal

9x +8 = 15x - 46

Subtract 9x from each side

9x-9x +8 = 15x -9x - 46

8 = 6x - 46

Add 46 to each side

54 = 6x

Divide by 6

54/6 = 6x/6

9 =x

Answer 2

Answer:

D is the answer

Explanation:

This is because you have to first make the equations equal to each other. You do this because you can see that the angles are equal to each other meaning that they are the same amount of degrees. So the equation you will have is (9x + 8) = (15x - 46).

9x + 8 = 15x - 46

You can take off the parenthesis.

Subtract 8 from both sides.

This will lead to

9x = 15x - 54

Then you have to subtract 15x from both sides.

This will have a result of

-6x = -54

When you do this you can see that there are 2 negatives. You can cancel these out. So it will look like

6x = 54

Finally, you have to simplify. Divide both sides by 6.

54/6 = 9

6x/6 = x

The final result is

x = 9

So, it can be concluded that the answer is the letter D or the number 9.

Hope this helped