Question

Can somebody please help me with these two questions? And show your work please?

Solve for x.

Answer 1

(1) x = 12, (2)
`x=3(1 )/(2)`

Solution:

(1) If the two triangles are similar and the angles of two triangles are congruent then the corresponding sides are in proportion.

⇒
`(25)/(10)=(30)/(x)`

Do cross multiply.

⇒
`25 * x=30 * 10`

Divide both sides of the equation by 25 to equal the expression.

⇒
`x=(30 * 10)/(25)`

⇒ x = 12

(2) Side of triangle =
`4(1)/(3) =(13)/(3)`

If the two triangles are similar and the angles of two triangles are congruent then the corresponding sides are in proportion.

⇒
`(26)/((13)/(3) )=(21)/(x)`

Do cross multiply.

⇒
`26 * x=21 * (13)/(3)`

⇒
`26 * x=7 * 13`

Divide both sides of the equation by 26 to equal the expression.

⇒
`x=(7 * 13)/(26)`

⇒
`x=(7 )/(2)`

⇒
`x=3(1 )/(2)`