133,992 views
12 votes
12 votes
Geometry
What is the value of X?

Geometry What is the value of X?-example-1
User SWL
by
2.7k points

1 Answer

20 votes
20 votes

Answer:

x = 5

Explanation:

Corresponding sides are proportional, so we can write the proportion ...

(x -2)/x = (x +1)/(x +5)

(x -2)(x +5) = x(x +1) . . . . . . . multiply by x(x+5)

x^2+3x -10 = x^2 +x . . . . . eliminate parentheses

2x = 10 . . . . . . . . . . . . . . subtract x^2+x-10

x = 5 . . . . . . . . . . . . . . divide by 2

User LucyTurtle
by
2.6k points