The value of x that makes the two triangles similar is 4
Here, we want to find the value of x that makes the two triangles similar
Mathematically, if two triangles are similar, the ratios of their corresponding sides are equal
We have it that;
[tex]\begin{gathered} \frac{DE}{EF}\text{ = }\frac{XY}{YZ} \\ \\ \frac{5}{2x-1}\text{ = }\frac{10}{14} \\ \\ 14(5)\text{ = 10(2x-1)} \\ \\ 70\text{ = 20x - 10} \\ 70\text{ + 10 = 20x} \\ 20x\text{ = 80} \\ \text{ x= }\frac{80}{20} \\ x\text{ = 4} \end{gathered}[/tex]
