<u>Given</u>:
The measure of
is 162°
We need to determine the measure of ∠EAB
<u>Measure of ∠EAB:</u>
Let us determine the measure of ∠EAB
We know that, "If a tangent and chord intersect at a point on a circle, then the measure of each angle formed is half the measure of its intercepted arc".
Applying the above theorem, we get;

Substituting
, we get;

Dividing, we get;

Thus, the measure of ∠EAB is 81°
Answer:
x=16
Step-by-step explanation:
10|5x-25|-50=500
+50 +50
10|5x-25|=550
÷10 ÷10
|5x-25|=55
5x-25=55
+25 +25
5x=80
÷5 ÷5
x=16
Answer:
Slope of line 1 = 3
Slope of line 2 = -3
Slope of line 3 = -1/3
Line 1 and 2 = perpendicular
Line 1 and 3 = perpendicular
Line 2 and 3 = perpendicular
Step-by-step explanation:
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Step-by-step explanation:
Probability of event A on the condition of event B is:
P(A|B) = P(A and B) / P(B)
P(scored an A | girl) = P(scored an A and girl) / P(girl)
P(scored an A | girl) = 0.35 / 0.45
P(scored an A | girl) = 0.778
The probability that a randomly selected girl also scored an A is 77.8%.