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Juli2301 [7.4K]
3 years ago
6

A ∠A and ∠ B ∠B are complementary angles. If m ∠ A = ( 2 x + 18 ) ∘ ∠A=(2x+18) ∘ and m ∠ B = ( 6 x + 8 ) ∘ ∠B=(6x+8) ∘ , then fi

nd the measure of ∠ B ∠B
Mathematics
1 answer:
Aleks [24]3 years ago
7 0

Answer:

<B = 56 degrees

Step-by-step explanation:

The sum of two complementary angle is 90 degrees

Hence <A + <B = 90

2x++18 + 6x + 8 = 90

8x + 26 = 90

8x = 90-26

8x = 64

x = 64/8

x = 8

Get <B

<B = 6x+8

<B = 6(8) + 8

<B = 48+8

<B = 56 degrees

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3 years ago
In a certain Algebra 2 class of 30 students, 19 of them play basketball and 12 of them play baseball. There are 8 students who p
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Answer:

Probability that a student chosen randomly from the class plays basketball or baseball is  \frac{23}{30} or 0.76

Step-by-step explanation:

Given:

Total number of students in the class = 30

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Number of students who plays base ball = 12

Number of students who plays base both the games = 8

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Probability that a student chosen randomly from the class plays basketball or baseball=?

Solution:

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where

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P(B) =  Probability of choosing  a student playing base ball

P(A \cap B) =  Probability of choosing  a student playing both the games

<u>Finding  P(A)</u>

P(A) = \frac{\text { Number of students playing basket ball }}{\text{Total number of students}}

P(A) = \frac{19}{30}--------------------------(2)

<u>Finding  P(B)</u>

P(B) = \frac{\text { Number of students playing baseball }}{\text{Total number of students}}

P(B) = \frac{12}{30}---------------------------(3)

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P(A) = \frac{\text { Number of students playing both games }}{\text{Total number of students}}

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P(A \cup B)= \frac{19}{30} + \frac{12}{30} -\frac{8}{30}

P(A \cup B)= \frac{31}{30} -\frac{8}{30}

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