∠1 and ∠2 are vertical angles. ∠2 has a measure of 93°. What is the measure of ∠1 ? Enter your answer in the box. °
2 answers:
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Answer: first option.
Step-by-step explanation:
The ratio of the area of the triangles can be calculated as following:
Where is the lenght of the given side of the smaller triangle and
is the lenght of the given side of the larger triangle.
Therefore:
It can be written as following:
The ratio of the perimeter is:
Where is the lenght of the given side of the smaller triangle and
is the lenght of the given side of the larger triangle.
Therefore:
It can be written as following:
Answer:
<em>0</em> is the probability that a randomly selected student plays both a stringed and a brass instrument.
Step-by-step explanation:
Given that:
Number of students who play stringed instruments, N(A) = 15
Number of students who play brass instruments, N(B) = 20
Number of students who play neither, N()' = 5
<u>To find:</u>
The probability that a randomly selected students plays both = ?
<u>Solution:</u>
Total Number of students = N(A)+N(B)+N()' =15 + 20 + 5 = 40
(As there is no student common in both the instruments we can simply add the three values to find the total number of students)
As per the venn diagram, no student plays both the instruments i.e.
Formula for probability of an event E can be observed as:
So, <em>0</em> is the probability that a randomly selected student plays both a stringed and a brass instrument.