Question

question about parallelograms: practice
question 2 of 5
select the correct answer.
abcd is a parallelogram with diagonals $overline{ac}$ and $overline{bd}$ intersecting at o where $do = x + 1$ and $ob = 4x - 5$. what is the value of x?

Explanation:

Step1: Recall parallelogram property

In a parallelogram, the diagonals bisect each other. So, $DO = OB$.

Step2: Set up the equation

We have the equation $x + 1=4x - 5$.

Step3: Solve for x

Subtract $x$ from both sides: $1=4x - x- 5$, which simplifies to $1 = 3x-5$. Then add 5 to both sides: $1 + 5=3x$, so $6 = 3x$. Divide both sides by 3: $x=\frac{6}{3}=2$.

Answer:

$2$