Figure ABCD is a rectangle find the value of x

8

Step-by-step explanation:

BD is 32 units.

BE is half of BD

3x - 8 = 32/2

3x - 8 = 16

3x = 16 + 8

3x = 24

3/3x = 24/3

x = 8

8

Solution,

Diagonals of rectangle bisects each other.so,

2 BE = BD

2( 3x - 8 ) = 32

6x - 16 = 32

Add 16 on both sides

6x - 16 + 16 = 32 + 16

Simplify

6x = 48

divide both sides of equation by 6

6x/6 = 48/6

calculate

X = 8

Hope this helps...

Good luck on your assignment..

I saw the image that should have been posted with this word problem.

It formed a triangle:
Where:
side 1 = 560 ft
side 2 = 350 ft
side 3 = missing info. the distance.
angle given opposite the missing side = 160° - 75° = 85°

We will use the law of cosine to solve for the distance.

c² = a² + b² - 2ab cos(C)
c² = (560ft)² + (350ft)² - 2(560ft)(350ft) cos(85°)
c² = 313,600ft² + 122,500ft² - 392,000ft² (0.087)
c² = 436,100ft² - 34,165ft²
c² = 401,935 ft²
√c² = √401,935ft²
c = 633.98 ft  the last option.