Answer:
The Triangle Sum Theorem is also called the Triangle Angle Sum Theorem or Angle Sum Theorem. It says that all the angles <em>inside</em> a triangle add up to 180°.
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Take a look at the picture attached. It has a "formula": ∠a+∠b+∠c=180°
Use this as it will help you a lot. You plug in the info you already know (it doesn't matter which angle is a,b,c) and solve for the missing one. :)
Ask in the comments below if you are not sure about something.
I hope that helps you! :D
Answer:
Probability that Caroline buys fruit, a CD or both is 0.76.
Step-by-step explanation:
Let event A = Caroline buys fruit, event B = Caroline buys CD, Ac and Bc are complementary events.
Events AB, ABc, AcB and AcBc are jointly exhaustive and disjoint, hence P(AB) + P(ABc) + P(AcB) +P(AcBc) =1.
Events A and B independent, hence Ac and Bc independent too and probability P(AcBc) = P(Ac)*P(Bc) = (1 - P(A))(1-P(B)) = 0.6*0.4 = 0.24.
Required probability P(AB + ABc + AcB ) = P(AB) + P(ABc) + P(AcB) = 1- P(AcBc) = 1 - 0.24 = 0.76.
Answer:
Explanation:
-8 = (x + 11)/2
-8 • 2 = x + 11
-16 = x + 11
-16 - 11 = x
-27 = x
Or x = -27
Check:
-8 = (-27 + 11)/2
-8 = -16/2
-8 = -8
Therefore, x = -27
Answer:
B. <1 = 90, <2 = 40
Step-by-step explanation:
Given that ∆MLN = ∆QPR, it follows that the measure of their corresponding angles would be of the same measure.
<P = right angle = 90°
<1 corresponds to <P, therefore, <1 = 90°
<R = 40°
<2 corresponds to <R, therefore, <2 = 40°.
The answer would be: B. <1 = 90, <2 = 40