If the figures are similar with a scale factor of 2:3,find the value of x the first figure is 42 what is x
If the scale factor between the figures is 2:3, this means that the corresponding sides of the two figures are in the ratio of 2:3.
Let x represent the value of the corresponding side in the second figure.
Since the first figure has a side length of 42, and the ratio of the corresponding sides is 2:3, we can set up the following equation:
2/3 = 42/x
To solve for x, we can cross multiply:
2x = 3 * 42
2x = 126
Dividing both sides by 2 to isolate x:
x = 126/2
x = 63
Therefore, the value of x in the second figure is 63.