Answer:
The measurement of EF is 8.
Step-by-step explanation:
In the diagram, the two triangles are similar. Since they are similar, then this means that they are going to have the same ratio. We are already given two side lengths which are 24 and 54. So, let's set up an equation so we can find the value of x using ratios.
[tex]\frac{24}{54}=\frac{x}{x+10}[/tex]
Cross multiply. This means you would multiply 24 by (x + 10) and you would multiply 54 by x.
24x + 240 = 54x
Subtract 24x from 54x because they are like terms.
240 = 30x
Divide by 30 on both sides of the equation.
8 = x
So, the value of x is 8 which means that the measurement of EF is 8.
