The factors of 44 are: 1, 2, 4, 11, 22, 44
The factors of 50 are: 1, 2, 5, 10, 25, 50
Then the greatest common factor is 2.
Solutions
Simplify <span><span>2/3</span>x</span> to <span><span>2x/</span>3
</span>
<span><span><span>2x/</span>3</span>=10
</span>2) Multiply both sides by 3
<span>2x=10×3
3) </span>Simplify 10×3 to 30
<span>2x=30
4) </span>Divide both sides by <span>2
</span><span>x=30 </span>÷ <span>2
5) </span>Simplify <span>30 </span><span>÷ 2</span><span> </span><span>to</span><span> </span><span>15
</span><span><span>x=15
Answer = 15
Also can be written as 1/15</span></span>
I think you forgot to give the options along with the question. I am answering the question based on my knowledge and research. To prove that two lines cut by a transversal are parallel, one must show that <span>alternate interior angles are congruent, alternate exterior angles are congruent and corresponding angles are congruent. I hope the answer helped you.</span>