Answer:
The answer is 12.
Step-by-step explanation:
The triangles are similar, meaning that they have the same ratio. To figure out the ratio, you can see that the smaller triangle has a length of 5 for side AB. The corresponding side on the larger triangle, LM, has a length of 10. When you divide 10 by 5, you get 2, meaning that the triangle on the right is 2 times larger than the one on the left.
Now that we know that, we can solve for side AC. To do this, set up an equation for the corresponding sides. Since the larger triangle is 2 times larger, the equation would look like this: 2(x+5) = 3x+3.
That would simplify out to 2x+10 = 3x+3. Subtract 2x from both sides to get the equation 10 = x+3. Finally, subtract 3 from both sides to get 7 = x.
Now you can solve for side AC. Substitute the x in the equation for 7, giving you 7+5. That equals 12, your final answer.
I hope this makes sense! ☺
