Lines cd and de are tangent to circle a as shown below: lines cd and de are tangent to circle a and intersect at point d. arc ce measures 130 degrees. point b lies on circle a. if arc ce is 130°, what is the measure of ∠cde?

The measure of ∠CDE is 50°.

Step-by-step explanation:

Given information: Lines CD and DE are tangent to circle A. Arc CE measures 130 degrees.

According to the tangle to a circle property, the tangent of circle is perpendicular to the radius at the point of tangency.

It means ∠ACD and ∠AED are right angles.

The measure of arc CE is 130° it means the central angle of arc CE is 130°.

According to the angle sum property, the sum of interior angles of a quadrilateral is 360°.

Therefore the measure of ∠CDE is 50°.

step-by-step explanation:

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560