26.3k views
5 votes
AB and BC are perpendicular lines.
Find the value of x.

AB and BC are perpendicular lines. Find the value of x.-example-1

2 Answers

5 votes
X = 32.5

First put it into an equation:

25 + 2x = 90

Then subtract 25 from both sides:

2x = 65

Finally divide by 2 on both sides:

X = 32.5
User Lee Goodrich
by
4.4k points
3 votes

The value of x is 32.5

Perpendicular lines are two lines that intersect at a 90-degree angle (right angle).

This intersection forms four right angles (90 degrees each). The slopes of perpendicular lines are negative reciprocals of each other; when multiplied together, their product is -1.

We can then say that;

25 + 2x = 90

collect the like terms, we get;

2x = 90 - 25

subtract the value

2x = 65

Divide by the coefficient of x

x = 32.5

User Passwd
by
3.5k points