Question

Sorry for the blurry picture anyone can help?? That’ll be nice

Answer 1

Answer:

Option 2 - $\frac{10}{x} =\frac{7}{14}$

Step-by-step explanation:

So, lets just look at the two traingles, find the difference, then see if the graphs will give us the same difference.

So lets see.

One side of triangle ABC is 6. The same side of triangle DEF is 12.

Another side of triangle ABC is 7. THe same side of trinalge DEF is 14.

The final side of trinalge ABC is 10. The same side of triangle DEF is x.

We only need to compare a single side of these to find the difference:

12/6=2

14/7=2

This is very simple.

However, lets shift this into what they wrote.

So we know that the difference between each side is 2.

ALL sides are like this.

We know that both 12/6 and 14/7 equal the same thing, so tecnically, they are equal:

12/6=14/7

This is the same with 10/x as well.

So:

10/x=14/7

10/x=12/6

So we know that the difference from ABC to DEF is 2. But the difference from DEF to ABC is the opposite, 1/2.

Knowing this:

x/10=6/12 is the same thing as 10/x=12/6. And x/10=7/14 is the same thing as 10/x=14/7

So our answers can also be:

x/10=7/14

x/10=6/12

This looks like option 2.

Hope this helps!

Answer 2

Answer:

Option 2

Step-by-step explanation:

Since both triangles are similar, that means that the larger triangle's sides are greater than the smaller triangle's sides by a factor. We can see that 10 corresponds to x, so in the proportion 10 and x must be on the same side. That rules out option one and three. Now, we see that 7 corresponds to 14 and 6 corresponds with 12, so the other side must have 6 and 12 on the same side or 7 and 14 on the same side. We see that the only option that satisfies this criteria is Option 2.