Question

solve for x. $delta abcsimdelta wrg$. b 400 + 10x a. c 1500. g 100. w 300 r. answer attempt 1 out of 3. additional solution no solution. x =

Explanation:

Step1: Set up proportion

Since $\triangle ABC\sim\triangle WRG$, the ratios of corresponding sides are equal. So, $\frac{AB}{WR}=\frac{BC}{RG}$. Substituting the given values, we get $\frac{400 + 10x}{300}=\frac{1500}{100}$.

Step2: Cross - multiply

Cross - multiplying the proportion gives us $(400 + 10x)\times100=300\times1500$.
Expanding the left - hand side: $400\times100+10x\times100 = 40000+1000x$, and the right - hand side is $450000$. So, $40000 + 1000x=450000$.

Step3: Solve for x

Subtract 40000 from both sides: $1000x=450000 - 40000=410000$.
Then divide both sides by 1000: $x=\frac{410000}{1000}=410$.

Answer:

$410$