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Ludmilka [50]
3 years ago
13

The base angle of an isosceles triangle measures 54 degrees. What is the measure of its vertex angle?

Mathematics
1 answer:
ELEN [110]3 years ago
6 0

Answer:

108

Step-by-step explanation:

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Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles. A = 56°, a = 16, b = 17 (5
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Answer:

B = 61.75°

Step-by-step explanation:

The formula for the Law of Sines is given as:

a/ sin A = b/ sin B

In the question, we are given the following values

A = 56°, a = 16, b = 17

We are to solve for B

Hence,

16/ sin 56° = 17/sin B

Cross Multiply

sin B × 16 = sin 56° × 17

sin B = sin 56° × 17/16

sin B = 0.88

B = arc sin(0.88)

B = 61.74536°

Approximately B = 61.75°

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3 years ago
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3 years ago
Y^2 -40y +c find the value of c that completes the square
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Answer:

c = 400

Step-by-step explanation:

{y}^{2}  - 40y + 400 =  {(y - 20)}^{2}

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The other possibilities include that she chooses at least one book that is not a mystery; this means the complement is not choosing all mysteries.

<h3>What is the probability?</h3>

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

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Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels.

The complement of an event is the remaining possibilities.

Our event is Mariah choosing 3 mysteries.

The other possibilities include that she chooses at least one book that is not a mystery; this means the complement is not choosing all mysteries.

Learn more about probability here;

brainly.com/question/11234923

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