Question

In the problem we’re supposed to find the value of x that makes ABC ~ RST I can’t figure it out can someone please help

Answer 1

Answer:

Step-by-step explanation:

if the triangles are similar then their sides are in proportion ( or you can think that they make equivalent fractions like 2/3 = 4/6 )

44/ (x+2) = 20/7 = 3x+1 /5 ( all of those are equivalent  fractions)

use that  $\frac{a}{b} =\frac{c}{d}$  is the same as a*d = b*c

$\frac{44}{x+2} =\frac{20}{7}$  is the same as 20(x+2) = 7*44

20x +40 = 308; subtract 40 from both sides

20x = 268; divide by 20 both sides

x= 13.4