Use a proportion to find the missing side length in the following similar figures.
A. x = 24 cm
B. x = 8 m
C. x = 6 m
sorry - no figures...
A. Well, if I had 24 cm and I wanted to find the missing side length in a similar figure, I would simply multiply it by the same proportion of funny business. So, x would be equal to 24 cm of laughter and nonsense!
B. Ah, 8 m! That's a splendid number indeed. To find the missing side length in the similar figure, I would use the power of proportion by multiplying it with the same ratio of hilarious antics and tomfoolery. Therefore, x would be equal to 8 m of absolute clowning around!
C. Oh, 6 m, a delightful measurement! If we want to find the missing side length in these similar figures, we can use a proportion. By multiplying it with the same ratio of hilarity and comedic gags, x would be equal to 6 m of side-splitting laughter!
To find the missing side length using a proportion, we need to set up a ratio between the corresponding side lengths of the similar figures. Let's proceed with each case one by one:
A. x = 24 cm:
The proportion can be set up as follows:
x / 12 = 6 / 3
To solve for x, we cross-multiply and then divide:
x * 3 = 12 * 6
3x = 72
Dividing both sides by 3:
x = 24 cm
Therefore, the missing side length is 24 cm.
B. x = 8 m:
The proportion can be set up as follows:
x / 4 = 6 / 3
To solve for x, we cross-multiply and then divide:
x * 3 = 4 * 6
3x = 24
Dividing both sides by 3:
x = 8 m
Therefore, the missing side length is 8 m.
C. x = 6 m:
The proportion can be set up as follows:
x / 3 = 6 / 3
To solve for x, we cross-multiply and then divide:
x * 3 = 3 * 6
3x = 18
Dividing both sides by 3:
x = 6 m
Therefore, the missing side length is 6 m.
Remember to always set up the proportion using corresponding side lengths from the similar figures.
To find the missing side length in similar figures, we can use a proportion. A proportion compares two ratios and states that they are equal.
In this case, we have three options (A, B, and C) with different values for the variable x. Let's take them one by one:
A. x = 24 cm:
If we have similar figures, we can write a proportion comparing corresponding side lengths. Let's say the first figure has side lengths of a and b, while the second figure has side lengths x and y. We can write the proportion as:
a / b = x / y
In our case, we have x = 24 cm. Let's assume y is the missing side length. Then the proportion becomes:
a / b = 24 / y
Now we can solve the proportion. If we have more information provided, such as the value of a or b, we can substitute those values in and solve for y. However, without extra information, we cannot determine the value of y. Therefore, we cannot find the missing side length for option A.
B. x = 8 m:
Using the same formula a / b = x / y, where x = 8 m, let's assume y is the missing side length. The proportion becomes:
a / b = 8 / y
Again, without any additional information about the values of a or b, we cannot determine the value of y. Therefore, we cannot find the missing side length for option B.
C. x = 6 m:
Using the same formula a / b = x / y, where x = 6 m, let's assume y is the missing side length. The proportion becomes:
a / b = 6 / y
Similarly, without any additional information about the values of a or b, we cannot determine the value of y. Therefore, we cannot find the missing side length for option C.
In summary, based on the given information, we cannot find the missing side length for any of the options A, B, or C without additional information about the corresponding side lengths.