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Urgent help needed

Solve for x. Show your work.

Urgent help needed Solve for x. Show your work.-example-1
Urgent help needed Solve for x. Show your work.-example-1
Urgent help needed Solve for x. Show your work.-example-2

1 Answer

2 votes

Answer:

First exercise:
x=7

Second exercise:
x=2

Explanation:

According to the Intersecting Secants Theorem the products of the segments of two secants that intersect each other outside a circle, are equal.

Knowing this, in order to solve the first exercise and the second exercise, we can write the following expressions and solve for "x":

For the first exercise, we get:


(5)(5+x)=6(6+4)\\\\25+5x=60\\\\5x=60-25\\\\x=(35)/(5)\\\\x=7

For the second exercise, we get:


(4)(4+x)=3(3+5)\\\\16+4x=24\\\\4x=24-16\\\\x=(8)/(4)\\\\x=2

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