the scale factor for two figures is 3(new figure)to 2(old figure)the new figure has a side of 9.9 what is corresponding side in the old figure?
A)6
B)6.6
c)6.06
D)6.16
New is 1.5 times higher than old.
What is 9.9 (new) divided by 1.5?
That is crrect
Well, well, well. We've got ourselves a scale factor question here! So, if the scale factor is 3 to 2, that means we're multiplying the old figure by a factor of 3/2 to get the new figure. Now, if the new figure has a side of 9.9, we just need to divide that by the scale factor (3/2) to find the corresponding side in the old figure. Let me grab my handy-dandy calculator... *beep boop beep* Ah! The result is 6.6. So, my friend, the corresponding side in the old figure is 6.6. Looks like the answer is B) 6.6.
To find the corresponding side length in the old figure, you can use the scale factor.
The scale factor is given as 3(new figure) to 2(old figure), which means that the new figure is 3 times larger than the old figure.
Let's call the side length in the old figure "x".
Since the new figure has a side length of 9.9, we can set up the following proportion:
9.9 / x = 3 / 2
To solve for "x", we can cross-multiply and then divide:
9.9 * 2 = 3x
19.8 = 3x
x = 19.8 / 3
x ≈ 6.6
Therefore, the corresponding side length in the old figure is approximately 6.6.
The correct answer is B) 6.6.
To find the corresponding side in the old figure, we can set up a proportion using the scale factor.
The scale factor is 3(new figure) to 2(old figure), which can be written as:
3/2 = 9.9/x
Now, we can cross-multiply and solve for x:
3x = 2 * 9.9
3x = 19.8
x = 19.8/3
x = 6.6
Therefore, the corresponding side in the old figure is 6.6. So, the answer is (B) 6.6.