The diagonals of rectangle nopq intersect at point r. if or=3x-4 and np=5x+20, solve for x.

a.
2
b.
3
c.
12
d.
28

D. 28

Step-by-step explanation:

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We have been given that the diagonals of rectangle NOPQ intersect at point R. We are asked to find the value of x.

We will use diagonal property of rectangle, which states that diagonals of rectangle are equal and bisect each other.

Using diagonal property of rectangle, we can conclude that the segment NP is 2 times segment OR, so we can set an equation as:

Upon substituting the given expressions for both segments we will get,

Using distributive property we will get,

Subtracting 5x from both sides we will get,

Now, we will add 8 on both sides

Therefore, the value of x is 28 and option D is the correct choice.

529 and 531

step-by-step explanation:

honesty mood

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