Question

Solve for x. Your answer may be in decimal form. Round to the nearest tenth.

Answer 1

x=55

Explanation:

these are similar triangles(they have same shape and different sizes)

also two side of these triangles are equal.

lets write ratio:

21:5=x:13

x=21×13/5=54.6≈55

Answer 2

`x=54.6`

Explanation:

Because ΔABC is similar to ΔSTU, we know that their corresponding sides are proportional. Therefore, we know that
`(AB)/(AC)=(SU)/(ST)`. We are given that
`AB=x`,
`AC=21`,
`SU=13`, and
`ST=5`. After substituting the given values into the proportion and solving for
`x`, we get:

`(AB)/(AC)=(SU)/(ST)`

`(x)/(21) =(13)/(5)` (Substitute given values into the proportion)

`5*x=13*21` (Cross-Products Property)

`5x=273` (Simplify)

`(5x)/(5)=(273)/(5)` (Divide both sides of the equation by
`5` to get rid of
`x`'s coefficient)

`x=54.6` (Simplify)

Hope this helps!