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Leokris [45]
3 years ago
12

A two-pound bag of assorted candy contained 100 caramels, 83 mint patties, 93 chocolate squares, 80 nut clusters, and 79 peanut

butter taffy pieces. To create a pie chart of this data, the angle for the slice representing each candy type must be computed. What is the degree measure of the slice representing the mint patties rounded to the nearest degree?
Mathematics
1 answer:
faltersainse [42]3 years ago
7 0

Answer:

The degree measure of the slice representing the mint patties rounded to the nearest degree is 69°.

Step-by-step explanation:

Consider the provided information.

A two-pound bag of assorted candy contained 100 caramels,

83 mint patties,

93 chocolate squares,

80 nut clusters,

79 peanut butter taffy pieces.

Now find the degree measure of the slice representing the mint patties rounded to the nearest degree as shown:

\frac{83}{100+83+93+80+79} \times 360^0

\frac{83}{435} \times 360^0

68.69\approx69^0

Hence, the degree measure of the slice representing the mint patties rounded to the nearest degree is 69°.

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Answer:

m

∠

N

=

67

∘

,

and

,

m

∠

P

=

113

∘

.

Explanation:

By what is given,  

m

∠

M

+

m

∠

N

=

90

∘

...

...

...

...

...

(

1

)

, and,

m

∠

N

+

m

∠

P

=

180

∘

...

...

...

...

...

...

...

...

.

(

2

)

Since,  

m

∠

M

=

23

∘

, by (1), we get,  

m

∠

N

=

90

∘

−

23

∘

=

67

∘

.

Using this in  

(

2

)

, we get,  

m

∠

P

=

180

∘

−

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∘

=

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