Question

if δstu ~ δplm, find the value of x. find the value of x

Explanation:

Step1: Set up proportion of sides

$\frac{x+1}{70} = \frac{2x-3}{99}$

Step2: Cross-multiply to eliminate fractions

$99(x+1) = 70(2x-3)$

Step3: Expand both sides

$99x + 99 = 140x - 210$

Step4: Rearrange terms to isolate $x$

$99 + 210 = 140x - 99x$
$309 = 41x$

Step5: Solve for $x$

$x = \frac{309}{41}$

Answer:

$x=7.5366$ or $x=\frac{309}{41}$