134k views
3 votes
May someone explain this to me in step-by-step? I'd greatly appreciate it!
Thank you.

May someone explain this to me in step-by-step? I'd greatly appreciate it! Thank you-example-1
User Moss
by
7.1k points

2 Answers

1 vote

Answer:

x = 9

Step-by-step explanation:

x = the missing side

24/8 = x/3

8(x) = 24(3)

8x = 72

x = 9

User Geeekfa
by
7.5k points
1 vote

Answer: 9

====================================================

Step-by-step explanation:

The slanted left-most sides of the figures are 24 and 8, when moving from left to right.

Let's reverse the direction and move from right to left. The jump from 8 to 24 is "times 3", which is the scale factor when moving from the smaller figure to the larger figure.

The smaller figure has 3 up top. Apply the "times 3" scale factor to get 3*3 = 9 as the top side length of the larger figure.

In other words, every side of the smaller figure is tripled to get the larger figure.

----------------

Here's another way to solve.

24/8 = x/3

24*3 = 8*x .... cross multiplying

72 = 8x

8x = 72

x = 72/8

x = 9 is the final answer.

User BowPark
by
7.5k points