Chapter 4.5, Problem 33SPR

To determine

To evaluate: the value of x and y .

Answer to Problem 33SPR

The values are $x=19,y=3$ .

Explanation of Solution

Given:

It is given that $\Delta RST\cong \Delta JKL$ , RS = 7, ST = 5, RT = 9 + x , JL = 2x − 10

Figure for the given situation is as follows,

  

Now, to find the value x ,

  $\begin{array}{c}9+x=2x-10\\ x=19\end{array}$

Similarly, to find the value y ,

  $\begin{array}{c}4y-5=7\\ y=3\end{array}$

So,

The values are $x=19,y=3$ .