Triangle UVW is dilated by a scale factor of 3 to form triangle UVW. Side VW measures 54. What is the measure of side VW?

162

Step-by-step explanation:

In geometry, dialation is increasing the size of a shape on a plane. Since the porblem you have givine isn't requiring the triangle to be centered around a point, this is fairly easy. If you are increasing UVW by a scale factor of 3, you are multiplying each side by 3. So, if side VW is 54, after dilation VW' will have a length of 162. (54 × 3 = 162)

Hope that helped!

answer: 3.26019516

step-by-step explanation:

a and c

for infinitely many solutions we require both left and right sides to be equal

distribute and simplify

a

14 - 8x = 20 - 8x - 6 = 14 - 8x ← both sides equal so infinite solutions

b

6x - 54 = 6x - 54 + x = 7x - 54 ← not equal

c

4x + 16 = 4x + 10 + 6 = 4x + 16 ← both sides equal so infinite solutions

d

5x - 40 + 10 = 5x + 10

5x - 30 = 5x + 10 ← not equal