Answer:
BD = 8.5 units
Step-by-step explanation:
From the figure attached,
ΔABC and ΔADB are the right triangles.
By applying mean proportional theorem,

BD² = AD × CD
BD² = 6 × 12
BD = √72
BD = 6√2
= 8.485
BD ≈ 8.5 units
Therefore, measure of segment BD will be 8.5 units.
Answer: B. Line AC is congruent to line BD
Step-by-step explanation:
The Hypotenuse-Leg Theorem states that two right triangles are congruent if and only if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of the other right triangle.
Since they both share Leg DC, their hypotenuse should be congruent to use this proof.
3 x^3 y^2
_______
8 ( y/x-3/2)
4/20 is 0.20, which is equivalent to 20%.
Remember that 1.0=100%, 0.5=50%, 0.2=20%, 0.05=5%, and so on.