Use a proportion to find the length of the missing side in the following similar figures.

Answer choices:
x = 28 cm
x = 30.8 cm
x = 6.4 cm
x = 19 cm

To find the length of the missing side in similar figures using a proportion, we need to set up a ratio of corresponding sides.

Let's assume the length of the known side in the first figure is a, and the length of the corresponding side in the second figure is b. The missing side in the second figure is x.

The proportion can be set up as:

a/b = x/28

Since it is not provided which side is known in the first figure, we will consider one of the known sides as a. Let's consider the known side in the first figure to be 28 cm.

Therefore, we can set up the proportion as:

28/b = x/28

Cross-multiplying, we get:

28x = 28 * b

Dividing both sides by 28, we have:

x = b

Hence, the length of the missing side is equal to the length of the corresponding side in the second figure, which is 28 cm.

Therefore, x = 28 cm is the correct answer choice.

To find the length of the missing side in similar figures using a proportion, we can set up a ratio of corresponding sides between the two figures.

Let's assume the length of the missing side in the first figure is "x" cm. We can set up the following proportion:

Length of known side in the first figure / Length of known side in the second figure = Length of missing side in the first figure / Length of missing side in the second figure

In this case, let's assume the length of the known side in the first figure is 16 cm, and the length of the known side in the second figure is 8 cm:

16 cm / 8 cm = x cm / Length of missing side in the second figure

Simplifying the proportion:

2 = x / Length of missing side in the second figure

Now, looking at the answer choices, we can substitute the values to find which one makes the proportion true:

a) x = 28 cm
2 = 28 / Length of missing side in the second figure
Length of missing side in the second figure = 28 / 2 = 14 cm

b) x = 30.8 cm
2 = 30.8 / Length of missing side in the second figure
Length of missing side in the second figure = 30.8 / 2 = 15.4 cm

c) x = 6.4 cm
2 = 6.4 / Length of missing side in the second figure
Length of missing side in the second figure = 6.4 / 2 = 3.2 cm

d) x = 19 cm
2 = 19 / Length of missing side in the second figure
Length of missing side in the second figure = 19 / 2 = 9.5 cm

Comparing the lengths of the missing side in the second figure with the answer choices, we find that none of them match the values we calculated.

Therefore, none of the given answer choices (x = 28 cm, x = 30.8 cm, x = 6.4 cm, x = 19 cm) are correct.

I can not see the figures.

its question 4 on lesson 3 unit 5 quickcheck/study guide

don't wory Ras I don't know it either.