Yuron is sketching a scale drawing of a famous painting. the painting is 54 inches wide and 72 inches long. he used a scale factor of 2/3 to make his sketch. how many inches wide is yuron’s sketch?

 Yuron's painting is 36 inches wide.

Step-by-step explanation:  Given that Yuron is sketching a scale drawing of a famous painting which is 54 inches wide and 72 inches long. He used a scale factor of to make his sketch.

We are given to find the width Yuron’s sketch.

Let, w and w' represents the width of the famous painting and  Yuron's painting.

Then, w = 54 inches,  w' = ?

We know that the scale factor is defined by

Therefore, we have

Thus,  Yuron's painting is 36 inches wide.

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x

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