Triangle a b c is shown. angle a b c is a right angle. an altitude is drawn from point b to point d on side a c to form a right angle. the length of a d is x, the length of d c is 4 x, and the length of b d is 10.
what is the value of x?

a. 2 units
b. 3 units
c. 5 units
d. 8 units

C. - X = 5 units

Step-by-step explanation:

We need to solve for x from the given figure.

In ΔADB and ΔCDB

 ∠ABD=∠BCD         (Corresponding angle of two right triangle)

 ∠ADB=∠CDB         (Each 90°)

∴  ΔADB ≈ ΔCDB  By AA similarity

If two triangles are similar then ratio of their corresponding height are same.

Substitute the value of side into the expression

Cross multiply and solve for x

x can't be negative because side of triangle is positive.

Hence, The value of x is 5 units.

b.-4 units

all you   do is count how many times you move

the 8 in 8,420 is in the thousands place so it's value is 8 thousand.

the 8 in 6,870 is in the hundreds place so it's value is 8 hundred.

divide 8000 by 800 to find the answer:

8000 / 800 = 10

the 8 in 8,420 is 10 times greater than the 8 in 6,870