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randyg0531
20.02.2021 •
Mathematics
A. Draw a Venn Diagram showing this information
A group of 80 people were asked if they liked different fruit. 38
said they liked apples, 42 like bananas, and 14 like cherries. 6
liked all 3 fruits. 20 people like apples and bananas, 10 of the
people who liked cherries also liked bananas. 6 people like
cherries and apples.
a. Draw a Venn diagram showing this information
b. How many people liked apples and bananas but did not lik
cherries?
c. How many people liked none of the fruit?
d. How many people liked just one of the fruits?
e. How many people liked at least 2 of the fruits?
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Ответ:
m∠2=31
m∠3=65
m∠1=?
Notice that measure of angle 2,3 and the angle that's next to angle 1 will form a triangle. Let's name the angle next to 1 to be x.
31+65+x = 180
96+x = 180
x = 180-96
x = 84
Now, you can easily find the m∠1.
84+m∠1 = 180 (REASON: Linear pair)
m∠1 = 180-84
m∠1 = 96