Answer:
4.5
Step-by-step explanation:
The scale factor is 2
This means that the sides are proportional by a factor of 2.
In other words, you multiply 2 with the side lengths of first trapezoid to get the side length of second trapezoid.
You can see the pattern:
12 goes with 24
4.5 goes with 9
7 goes with 14
X goes with 9
The "X" is the missing side.
As you can see, we multiply each number on the left-hand side by 2 to get the number on the right-hand side (larger trapezoid).
So, that means:
X multiplied by "2" will gives us 9, we can write:
[tex]x*2=9\\[/tex]
Complete the equation and find x:
[tex]x*2=9\\2x=9\\x=\frac{9}{2}\\x=4.5[/tex]
The missing side length in the original trapezoid is "4.5"
