Use proportions to find the missing side length ( x ) in the two similar figures.

(1 point)
Responses

9.99 yards
9.99 yards

4 yards
4 yards

1.05 yards
1.05 yards

16.92 yards

It seems that the missing side length (x) is not provided.

there's a triangle with 13 yards side and x bottom

To find the missing side length (x) in the triangle with a side length of 13 yards and a base (bottom) length of x, you would use proportions.

Assuming the triangles are similar, we can set up the proportion:

13 / x = a / b

Where a and b are corresponding sides of the similar triangles. In this case, a is the length of the missing side and b is the length of the base of the triangle.

To solve for x, we can cross multiply:

13 * b = x * a

Simplifying, we get:

13b = ax

Then, you can divide both sides by a to isolate x:

x = (13b) / a

Since the length of b is not given in the question, it is not possible to determine the exact value of x using proportions.

the picture shows two triangle's one small triangle with 3.25 yards side and 4.23 yards bottom and a bigger triangle with 13 yards and x bottom

To find the missing side length (x) in the triangle with a side length of 13 yards and a base length of x, you can use proportions.

Since the triangles are similar, you can set up the proportion:

3.25 / 4.23 = 13 / x

To solve for x, you can cross multiply:

3.25x = 4.23 * 13

Multiply the values on the right side:

3.25x = 55.99

Now, divide both sides by 3.25 to isolate x:

x = 55.99 / 3.25

Simplifying, you get:

x ≈ 17.22

Therefore, the missing side length (x) is approximately 17.22 yards.

the answer choices are:

9.99 yards
9.99 yards

4 yards
4 yards

1.05 yards
1.05 yards

16.92 yards

Based on the given answer choices, the missing side length (x) is 16.92 yards.