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nalin [4]
4 years ago
7

The exterior angles of a triangle are 3y0, 4y0 and 5y0.

Mathematics
2 answers:
satela [25.4K]4 years ago
5 0

Answer:

i) y = 30°

ii) 30°

Step-by-step explanation:

Total exterior angle = 360

3y° + 4y° + 5y° = 360

12y° = 360

y° = 30°

Interior angle = 180 - exterior angle

Interior angle will be the smallest when the exterior angle is the greatest, which is:

5y = 5(30) = 150°

Smallest interior angle = 180 - 150

= 30°

katovenus [111]4 years ago
3 0

Answer:

i. 30 degrees

ii. 30 degrees

Step-by-step explanation:

The exterior angles of a triangle always add up to 360 degrees. Using this, you can set up the following equation.

3y+4y+5y=360

y=30 degrees

The smallest interior angle corresponds to the largest exterior angle. 5y=5*30= 150. Subtracting this from 180 you get 30 degrees, or the smallest interior angle. Hope this helps!

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Sidana [21]

Answer:

2/3

Step-by-step explanation:

Parallel lines have the same slope and will never intersect

slope = (y-y') / (x-x') = (3 - (-1)) / (3 - (-3)) = 4/6 = 2/3

4 0
3 years ago
Which is a multiple of 15
user100 [1]

Answer:

5

Step-by-step explanation:

If you add 5 three times you'll get 15.

Or you can just do 5 times you'll get the same answer as when you did addition.

8 0
3 years ago
A state lottery involves the random selection of six different numbers between 1 and 30. If you select one six number combinatio
vitfil [10]

<em><u>Option C</u></em>

<em><u>The probability that it will be the winning combination is:</u></em>

P = \frac{1}{427518000}

<em><u>Solution:</u></em>

<em><u>The probability is given as:</u></em>

Probability = \frac{\text{number of favorable outcomes}}{\text{total number of outcomes}}

Given that,

A state lottery involves the random selection of six different numbers between 1 and 30

There are 30 numbers from 1 to 30

<em><u>The probability that the first digit of lottery number is same as picked can be calculated as:</u></em>

P(1) = \frac{1}{30}

Since, already we picked 1 digit, now total outcomes = 30 - 1 = 29

<em><u>The probability that the second digit of lottery number is same as picked can be calculated as:</u></em>

P(2) = \frac{1}{29}

<em><u>Similarly, The probability that the all digit of lottery number is same as picked can be calculated as:</u></em>

P = P(1) \times P(2) \times P(3) \times P(4) \times P(5) \times P(6)\\\\P = \frac{1}{30} \times \frac{1}{29} \times \frac{1}{28} \times \frac{1}{27} \times \frac{1}{26} \times \frac{1}{25}\\\\P = \frac{1}{427518000}

Thus Option C is correct

4 0
4 years ago
The surface area of a cell phone screen is 6800 mm2. Use the fact that 10 mm = 1 cm to convert this area to cm2. Round your answ
Dafna1 [17]

Answer:

68 \:  {cm}^{2}

Step-by-step explanation:

You can use 1 cm = 10 mm very well to help you with this.

The small two at the end of the unit (<em>cm</em><em>^</em><em>2</em>) refers, that the shape of an object is two dimensional. If we make 1 cm two dimensional by multiplying it with the original 1 cm, we get a total area of

1 \:  {cm} \times 1 \:  {cm} \:  =   1  \: {cm}^{2}

We have created an equation. Since we know 1 cm = 10 mm, we can replace the centimetres in the equation with the millimetres, like so:

10 \: mm \times 10 \: mm = 1 \:  {cm}^{2}  \\ 100  \: {mm}^{2}  = 1 \:  {cm}^{2}

From there, its just a simple matter of calculation:

6800 \:  {mm}^{2}  \times  \frac{1 \:  {cm}^{2} }{100 \:  {mm}^{2} }  = 68 \: \:  {cm}^{2}

7 0
3 years ago
Q. During one particular sales day, 75% of the store's customers paid with credit cards. If there were 60 customers that day, ho
ELEN [110]

Answer:

45 people.

Step-by-step explanation:

We have been given that during one particular sales day, 75% of the store's customers paid with credit cards. There were 60 customers that day.

To find the number of people, who used credit card, we will find 75% of 60.

\text{The number of people, who used credit card}=\frac{75}{100}\times 60

\text{The number of people, who used credit card}=0.75\times 60

\text{The number of people, who used credit card}=45

Therefore, 45 people used credit card on that particular day.

4 0
3 years ago
Read 2 more answers
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