Answer: 32
Explanation:
In the kite figure, it is given that BD is bisected by AC since it's a kite shape, meaning that the two separate segments of BD are congruent.
Given:
2x + 6 = 4x - 4
Subtract 6 from both sides of the equation:
2x = 4x - 10
Subtract 4x from both sides of the equation:
-2x = -10
Divide both sides of the equation by -2:
x = 5
Next, we can substitute this in and solve for the length of BD.
Given:
2x + 6 + 4x - 4
Substitute:
2(5) + 6 + 4(5) - 4
Multiply:
10 + 6 + 20 - 4
Compute:
32