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3 years ago

Help? please and thank you in advance

Mathematics

2 answers:

DochEvi [55]3 years ago

6 0

Answer:

LE = 3

Step-by-step explanation:

Beacuse of the 3 parallel lines

PA / PR = LE / LT

5 / 15 = LE / 9

LE = 5*9 / 15

LE = 3

Troyanec [42]3 years ago

5 0

The correct answer should be 3.

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K + a + h = 50
a = 2h
k = h - 10

(h - 10) + 2h + h = 50
4h - 10 = 50
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4h = 60
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h = 15 <=== Henry sent 15

a = 2h
a = 2(15)
a = 30 <=== Aldo sent 30

k = h - 10
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If a cone's height and radius are tripled, what happens to the volume?

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4 years ago

What is 2/5 plus 4/3 divided by 3/5 simplified?

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In a recent survey of monetary donations made by college graduates, the following information was obtained: 91 graduates had don

vodka [1.7K]

Answer: a) 11.26% and b) 50.23%

Step-by-step explanation:

Number of graduates donated to a political campaign n(A) = 91

Number of graduates donated to assist medical research n(B) = 76

Number of graduated to help preserve the environment n(C) = 131

Number of graduated donated to all n(A∩B∩C) = 27

Number of graduates donated to none = 24

Number of graduated donated to political campaign and to medical research n(A∩B) = 32

Number of graduates donated to medical research and to preserve the environment n(B∩C) = 48

Number of graduates donated to a political campaign and to preserve the environment n(C∩A) = 56

Now,

n(U)=n(A)+n(B)+n(C)-n(A∩B)-n(B∩C) -n(C∩A)+n(A∩B∩C)+n(none)

$n(U)=91+76+131-32-48-56+27+24=213$

So, What percent of the college graduates donated to none of the three listed causes?

Percentage would be

$\dfrac{24}{213}\times 100\\\\=11.26\%$

(b) What percent of the college graduates donated to exactly one of the three listed causes?

Exactly one = 91+76+131-2(32-56-48)+3(27)=107

Percentage would be

$\dfrac{107}{213}\times 100\\\\=50.23\%$

Hence, a) 11.26% and b) 50.23%

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