Given triangle DEF where ∠D = (7b +1)∘, ∠E = (2b + 1)∘, and ∠F = ( b + 8)∘. What is the measure of ∠E?
1 answer:
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For line l parallel to line m, the interior angles on the same side of the transversal should add upto 180° or in better words, they must be supplementary.
So, we can write that,
(2x + 6)° and 130° are supplementary.
⇛ 2x° + 6° + 130° = 180°
⇛ 2x° + 136° = 180°
⇛ 2x° = 44°
⇛ x° = 22°
The value of x for which line l is parallel to line m,
And we are done !!
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Answer:
Check attached picture ; 75 ; 40 ; 25%
Step-by-step explanation:
s = science fiction movie
H = horror movie
A = adventure movie
From the information given :
n(SnHnA) = 5
n(SnH) only = 15 - 5 = 10
n(SnA) only = 25 - 5 = 20
n(HnA) only = 5 - 5 = 0
n(S) only = 40 - (10+5+20) = 5
n(H) only = 20 - (10+5+0) = 5
n(A) only = 55 - (5 + 20 + 0) = 30
b.) Number of people who saw atleast one movie :
Sum of all numbers in the circles :
(5 + 20 + 5 + 10 + 5 + 30 + 0) = 75
c. How many people saw only one type of movie?
n(S) only + n(H) only + n(A) only
(5 + 5 + 30) = 40
d. What percentage of the people saw none of the three movie types?
Number of people who saw none of the movies:
100 - (Number of people who saw atleast one)
100 - 75 = 25
Hence, percentage who saw none :
(25/ 100) * 100%
(1/4) * 100%
= 25%
