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n200080 [17]
3 years ago
14

Find measure of angle NPI

Mathematics
1 answer:
Zarrin [17]3 years ago
4 0
Exterior Angles Theorem is used.

The exterior angle of a triangle is equal to the 2 opposite interior angles.

Therefore, 65+78=143°, since 65 and 78 are the 2 opposite interior angles.

So, the answer is 143°
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A circular rug has a diameter of 6 feet. What is the area of the rug?
podryga [215]

Answer:

The answer to your question is: letter B

Step-by-step explanation:

Data

diameter = 6 ft

area = ?

Formula

               A = πr²

radius = diameter / 2

          = 6 / 2

          = 3 ft

Substitution

              A = π(3)²

                 = 28.27 ft²

7 0
3 years ago
Read 2 more answers
A shipment of 12 microwave ovens contains three defective units. A vending company has ordered four units, and because each has
statuscvo [17]

Answer:a) 54/55

b) 100/110

c) 99/110

Step-by-step explanation:

a)Probability of ordering 4= 9/12×3/11×2/10×1/9 = 54/11880

Probability of 4 good units= 4 × 54/11880

= 216/11880

1/55

1-(1/55) = 54/55

b)Probability of 2 good units= 2 × 54/(11880)

= 108/11880

= 1/110

1- (1/110)= 100/110

c) Probability of exactly 2 units not good= 1 -(100/110) =99/110

8 0
3 years ago
Jayson’s car can go 300 miles on 12.5 gallons of gasoline. How far can he drive on 42 gallons of gas?
fomenos
300\ miles\ on\ 12,5\ gallons\\
x\ miles\ \ on\ \ \ 42\ gallons\\\\
Making\ proportion:\\
300-12,5\\
x-42\\\\
Cross\ multiplication\\
300*42=12,5x\\\\12600=12,5x\ \ \ | divide\ by\ 12,5\\\\
x=1008\\\\
He\ can\ drive\ 1008\ miles\ on\ 42 \ gallons\ of\ gas.
6 0
3 years ago
Convert 0.9 cm into m
Whitepunk [10]

<em>Answer is 0.009 </em>

<em></em>

0.9 ( 0.01 m / cm  ) = 0.009

4 0
3 years ago
Write 12,430,000 in expanded form
lina2011 [118]
12,000,000+400,000+30,000+
8 0
3 years ago
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