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MissTica
3 years ago
9

∠A=5x−15 ∘ start color #11accd, angle, A, end color #11accd, equals, start color #11accd, 5, x, minus, 15, degrees, end color #1

1accd ∠ B = 2 x + 2 1 ∘ ∠B=2x+21 ∘
Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
4 0

Answer: 45°

Step-by-step explanation:

Given that :

∠A=5x−15°---(1)

∠B=2x+21°----(2)

Equating

∠A = ∠B

(5x−15)° = (2x+21)°

5x - 15 = 2x + 21

Collecting like terms

5x - 2x = 21 + 15

3x = 36

x = 12

Substitute x = 12 in either angle A or B since both are congruent

∠A=(5x−15)°

∠A = (5(12) - 15)°

∠A = (60 - 15)°

∠A = 45°

∠A = ∠B = 45°

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A multiple-choice test contains 10 questions. There are four possible answers for each question. a) In how many ways can a stude
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Answer :

<h3>4^{10} <u> =1048576 ways </u> a student can answer the questions on the test if the student answers every question.</h3>

Step-by-step explanation:

Given that a multiple-choice test contains 10 questions and there are 4 possible answers for each question.

∴ Answers=4 options for each question.

<h3>To find how many ways  a student can answer the given questions on the test if the student answers every question :</h3>

Solving this by product rule

Product rule :

<u>If one event can occur in m ways and a second event occur in n ways, the number of ways of two events can occur in sequence is then m.n</u>

From the given the event of choosing the answer of each question having 4 options is given by

The 1st event of picking the answer of the 1st question=4 ,

2nd event of picking the answer of the 2nd question=4 ,

3rd event of picking the answer of the 3rd question=4

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10th event of picking the answer of the 10th question=4.

It can be written as  by using the product rule

=4.4.4.4.4.4.4.4.4.4

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4 years ago
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