Figure abcd is a rectangle. the length of segment ae is (5x − 7) units and the length of segment ec is (2x − 1) units. what is the length of diagonal bd? 8 units 6 units 12 units 10 units

Hello!

To find our answer, we will first want to find x. Our two line segments appear to be congruent. If we add them up, it will be equal to BD, so let's find x, plug it in, and add it up.

5x-7=2x-1

Let's subtract 2x from both sides.

3x-7=-1

We add 7 to both sides.

3x=6

We divide both sides by 3.

x=2

Now, let's plug it in to both equations.

5(2)-7

10-7

3

2(2)-1

4-3=3

3+3=6

Therefore, our answer is

I hope this helps!

yeet

step-by-step explanation:

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)