Question

rinomg a segment LenguWhat is the value of x and the length of segment DE?1. §-2x+32. 10x + 15 = 9(9)2x + 3x=Length of DE =unitsC 50

Answer 1

Answer:

$\begin{gathered} x=6.6 \\ \text{length of }\bar{\text{DE}}=16.2\text{ units} \end{gathered}$

Explanation:

Given that;

$\frac{5}{9}=\frac{9}{2x+3}$

Solving for x, let's cross multiply.

$\begin{gathered} 5(2x+3)=9(9) \\ 10x+15=81 \\ 10x=81-15 \\ 10x=66 \\ \text{divide both sides by 10} \\ x=\frac{66}{10} \\ x=6.6 \end{gathered}$

From the diagram;

$DE=2x+3$

substituting the value of x;

$\begin{gathered} DE=2(6.6)+3 \\ DE=13.2+3 \\ DE=16.2\text{ units} \end{gathered}$

Therefore;

$\begin{gathered} x=6.6 \\ \text{length of }\bar{\text{DE}}=16.2\text{ units} \end{gathered}$