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

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
`(a)/(b) =(c)/(d)` is the same as a*d = b*c

`(44)/(x+2) =(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

Answer 2

To find the value of x that makes triangles ABC similar to RST, you need to use the properties of similar triangles. Set up a proportion using the corresponding sides of the triangles and solve for x. The two values of x are: 42 and 4/3.

To find the value of x that makes triangles ABC similar to RST, ABC ~ RST, you have to use the properties of similar triangles.

Similar triangles have corresponding angles that are equal and their corresponding sides are in proportion.

This means if you have the lengths of some sides of both triangles, you can set up a proportion to solve for x.

For example, if triangle ABC and RST are similar by the angle-angle criterion (AA), and you know the lengths of two sides of ABC and one side of RST, you can write a proportion like so:

AB/RS = BC/ST

If the problem provides specific measurements, replace the sides with those values and solve for x.

x+2=44

x=44-2=42

3x+1=5

3x=4

x=4/3

Therefore, the two values of x are: 42 and 4/3.