Given the figure with the measurements indicated below, what is MK?

The length of MK is 12 in

Explanation:

Given that the length of  LM = 6 in and MJ = 24 in

We need to determine the value of MK

The value of MK:

By similar right triangles, we have,

Let MK = x

Substituting the values LM = 6 in, MK = x and MJ = 24 in, we have,

Simplifying, we get,

Taking square root on both sides, we get,

Therefore, the value of x is 12.

Hence, the value of MK = 12 in.

answer: 80,000

step-by-step explanation:

the population doubles every day.

10,000*2=20,000 day 4

20,000*2=40,000 day 5

40,000*2=80,000 day 6

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh