Question

Hello, happy Friday, I am just here with some geometry questions.

Please only answer this if you know the answer. If you have a comment, please add it to the comment box. Only answer the question if you can explain your answer and why you think it is accurate. Thanks, good luck!

Show your work!

Answer 1

`x=12`

Explanation:

Notice that the segment bisects the obtuse angle.

Then by the Angle Bisector Theorem:

`\displaystyle (x-4)/(6)=(x)/(9)`

Cross-multiply:

`6(x)=9(x-4)`

Distribute:

`6x=9x-36`

So:

`-3x=-36`

Therefore:

`x=12`