Instructions: Given the following image of two parallel lines cut by a transversal, find the value of x.

x= 6

Step-by-step explanation:

First, these angles are alternate interior angles.

Next, set each angle equal to each other.

9x+1= 10x-5

Next, solver for x.

Step 1- Subtract 9x to both sides.

9x+1= 10x-5

-9x     -9x

Step 2- Add 5 to both sides.

 1= 1x-5

+5       +5

Step 3- Divide both sides by 10.

6= 1x

6    6

x= 6

2^y = ln 5, or   y(ln 2) = ln 5.   solving for y,   y = (ln 5) / (ln 2).   y=5

step-by-step explanation:

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