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maxonik [38]
3 years ago
14

Please answer these questions according to the text above!!!

Mathematics
2 answers:
miskamm [114]3 years ago
7 0

Answer: Hello there!

we know that the zoo had an equal number of visitors on Saturday and Sunday, if the total number of visitors in the weekend is 32096, then the visitors in each day are: 32096/2 = 16048.

a) on Saturday, 1/8 of the people who visited were senior citizens, 1/8 were infants, 1/4 were children, and 1/2 were adults.

if we want to know the amount of each, then:

the amount of senior citizens are: (1/8)*16048 = 2006  

the amount of infants are: (1/8)*16048 = 2006

the amount of children is: (1/4)*16048 = 4012

the amount of adults are: (1/2)*16048 = 8024

b) On Sunday, 1/16 of the people who visited were senior citizens, 3/16 were infants, 3/8 were children, and 3/8 were adults.

the amount of senior citizens are : (1/16)*16048 = 1003

the amount of infants are: (3/16)*16048 = 3009

the amount of children is: (3/8)*16048 = 6018

the number of adults is also: (3/8)*16048 = 6018

antoniya [11.8K]3 years ago
6 0
You can add the numbers of those people to come up with the total.
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m∠P = 82°

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Step-by-step explanation:

<em>In the isosceles triangle, the base angles are equal in measures</em>

In Δ PQR

∵ PQ = PR

∴ Δ PQR is an isosceles triangle

∵ ∠Q and ∠R are the base angles

→ By using the fact above

∴ m∠Q = m∠R

∵ m∠Q = (3x + 25)°

∵ m∠R = (2x + 33)°

→ Equate them

∴ 3x + 25 = 2x + 33

→ Subtract 2x from both sides

∵ 3x - 2x + 25 = 2x - 2x + 33

∴ x + 25 = 33

→ Subtract 25 from both sides

∵ x + 25 - 25 = 33 - 25

∴ x = 8

→ Substitute the value of x in the measures of angles Q and R

∵ m∠Q = 3(8) + 25 = 24 + 25

∴ m∠Q = 49°

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∵ The sum of the measures of the interior angles of a Δ is 180°

∴ m∠P + m∠Q + m∠R = 180°

→ Substitute the measures of angles Q and R

∵ m∠P + 49 + 49 = 180

∴ m∠P + 98 = 180

→ Subtract 98 from both sides

∵ m∠P + 98 - 98 = 180 - 98

∴ m∠P = 82°

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Step-by-step explanation:

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