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deff fn [24]
3 years ago
9

If the lines a and b in the diagram below are parallel why do angles 1 nd 8 measure 120 degree angles

Mathematics
1 answer:
Leto [7]3 years ago
4 0
The pairs of angles<span> on opposite sides of the transversal but outside the two lines are called </span>alternate exterior angles<span>.

</span><span>C) Because they are alternate exterior angles.</span>
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Considering the following statements, what is X → Z? X → Y: If the sum of the interior angles of a shape is 180°, then it's a tr
tresset_1 [31]

Answer:

Step-by-step explanation:z=180

Interior angle =180

8 0
3 years ago
A motorcycle can travel 292.5 miles on 4.5 gallons of gasoline. What is the number of miles per gallon?​
Gelneren [198K]

Answer:

65 miles per gallon

Step-by-step explanation:

To determine the number of miles per gallon, take the total number of miles driven and divide by the number of gallons used

292.5 miles/4.5 gallons

65 miles per gallon

6 0
3 years ago
12. The $60 selling price of a camera is the cost<br> increased by twice the cost. Find the cost.
prisoha [69]

Answer: Assuming you mean that the original cost was doubled and now equals $60, the camera costed $30. Assuming the camera's price has been doubled from $60, it is $120. The wording is a bit unclear, so I'm giving you both answers.

Step-by-step explanation: To find half of the price of $60, simply divide it by 2, which gives you $30.

3 0
3 years ago
Gaby plays on volleyball team. In the two games she scored 3/5 of the total number of points her team scored. Her team scored 25
hjlf

Answer:

Gaby scored 27 points.

Step-by-step explanation:

First, you have to find 3/5 of both of the numbers.

What I did was I found 1/5 of each number and multiplied it by 3.

25/5=5, so 1/5 of 25 is 5. 5(3)= 15, so Gaby scored 15 points in the first game.

20/5= 4, so 1/5 of 20 is 4. 4(3)= 12, so Gaby scored 12 points in the second game.

Finally, add 15+12, which equals 27 :).

5 0
3 years ago
In a random sample of 45 newborn babies, what is the probability that 40% or fewer of the sample are boys. (Use 3 decimal places
erastova [34]

Answer:

z= \frac{p- \mu_p}{\sigma_p}

And the z score for 0.4 is

z = \frac{0.4-0.4}{\sigma_p} = 0

And then the probability desired would be:

P(p

Step-by-step explanation:

The normal approximation for this case is satisfied since the value for p is near to 0.5 and the sample size is large enough, and we have:

np = 45*0.4= 18 >10

n(1-p) = 45*0.6= 27 >10

For this case we can assume that the population proportion have the following distribution  

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Where:

\mu_{p}= \hat p = 0.4

\sigma_p = \sqrt{\frac{p(1-p)}(n} =\sqrt{\frac{0.4(1-0.4)}(45}= 0.0703

And we want to find this probability:

P(p

And we can use the z score formula given by:

z= \frac{p- \mu_p}{\sigma_p}

And the z score for 0.4 is

z = \frac{0.4-0.4}{\sigma_p} = 0

And then the probability desired would be:

P(p

7 0
3 years ago
Read 2 more answers
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