Question
The rectangle ABCD
is given as shown. Find x if CO=−3x
and BD=x+21
.
(1 point)
Responses
x=3
x=−3
x=−21/4
x=−42/5
is given as shown. Find x if CO=−3x
and BD=x+21
.
(1 point)
Responses
x=3
x=−3
x=−21/4
x=−42/5
Answers
GPT 3.5
To find x, we can set up an equation using the given information.
We know that CO = -3x and BD = x + 21.
Since we are given that ABCD is a rectangle, opposite sides of a rectangle are equal in length. Therefore, CO = BD.
Setting up the equation, we have:
-3x = x + 21
To solve for x, we can combine like terms:
-3x - x = 21
-4x = 21
Dividing both sides by -4, we get:
x = -21/4
Therefore, the correct answer is x = -21/4.
We know that CO = -3x and BD = x + 21.
Since we are given that ABCD is a rectangle, opposite sides of a rectangle are equal in length. Therefore, CO = BD.
Setting up the equation, we have:
-3x = x + 21
To solve for x, we can combine like terms:
-3x - x = 21
-4x = 21
Dividing both sides by -4, we get:
x = -21/4
Therefore, the correct answer is x = -21/4.