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3 years ago

Geometry Proof - please help ASAP

Mathematics

1 answer:

DanielleElmas [232]3 years ago

4 0

Answer:

If angle C is 90 degrees (def. of right angle) then the sum of angle A and B has to 90 degrees since angle A + B + C (90°) = 180°

Statements and Reasons:

3. Angle C is 90 degrees because of the definition of right angle.

4. Angle A + angle B + angle C is 180 degrees because of triangle sum.

5. Angle A + angle B + 90 = 180 because of substitution postulate.

6. Angle A + angle B is 90 degrees because of subtraction postulate. (subtract 90 from both sides from the equation above this step).

7. Angle A and angle B are complementary.

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3 years ago

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Arisa [49]

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Step-by-step explanation:

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Answer:

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3 years ago

If arc VY = 132° and ∠YUV = 41°, what is the measure of arc XV?

Tom [10]

Answer:

Step-by-step explanation:

Use this equation

$\frac{b - a}{2} = angle \: yuv$

where b is arc VY, A is arc XV.

Substitute the equation in

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5 0

2 years ago

A chemical plant has an emergency alarm system. When an emergency situation exists, the alarm sounds with probability 0.95. When

Katen [24]

Answer:

the probability that a real emergency situation exists is 0.16 (16%)

Step-by-step explanation:

defining the event A= the alarm sounds ,we have

P(A)= probability that an emergency situation exists * probability that the alarm sounds given that an emergency situation exists + probability that a emergency situation does not exist * probability that the alarm sounds given that an emergency situation does not exist = 0.004* 0.95+ 0.996 * 0.02 = 0.02372

then if we use the theorem of Bayes for conditional probability and define the event E= a emergency situation exists , then

P(E/A)= P(E∩A)/P(A)= 0.004* 0.95/0.02372 =0.16 (16%)

where

P(E∩A)= probability that an emergency situation exists and the alarm sounds

P(E/A) = probability that an emergency situation exists given that the alarm has sounded

7 0

3 years ago