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levacccp [35]
3 years ago
14

Two parallel lines are crossed by a transversal.

Mathematics
2 answers:
patriot [66]3 years ago
8 0

Answer:

h = 60˚

Step-by-step explanation:

Look at where it shows the 120˚, and its verticle angle. Verticle angles are congruent, or the same meaning it's also 120˚.

Then go to its corresponding angle, which is next to the h. Corresponding angles are also congruent, or the same. I'll call this angle m to save time and hopefully confusion.

Now, h and m are supplementary angles, meaning they add up to 180˚.

180˚ - 120˚, or 60˚ is your answer.

h = 60˚

jonny [76]3 years ago
6 0

Answer:

it will be 120 just like the one above it

Step-by-step explanation:

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According to a recent study of 7335 young people in the US, 30% had been arrested for a crime other than a traffic violation by
victus00 [196]

Answer:

a) Statistic.

b) The population proportion is expected to be between 0.29 and 0.31 with a 94% degree of confidence.

Step-by-step explanation:

a) The proportion of 30% is a statistic, as it is a value that summarizes data only from the sample taken in the study from USA Today. Other samples may yield different proportions.

b) We can use the statistic to estimate a confidence interval for the parameter of the population.

The standard error for the proportion is calculated as:

\sigma_p=\sqrt{\dfrac{p(1-p)}{N}}=\sqrt{\dfrac{0.3\cdot 0.7}{7335}}=\sqrt{2.83\cdot10^5}= 0.00535

The margin of error is 0.01. We can use this value to determine the level of confidence that represents.

The formula for the margin of error is:

E=z\cdot \sigma_p=0.01\\\\z\cdot 0.0535=0.01\\\\z=1.87

This z-value, according to the the standard normal distribution, corresponds to a confidence interval of 94%.

The interval for this margin of error is:

p-E\leq \pi \leq p+E\\\\0.30-0.01\leq \pi \leq 0.30+0.01\\\\0.29\leq \pi \leq 0.31

Then, we can conclude that the population proportion is expected to be between 0.29 and 0.31 with a 94% degree of confidence.

3 0
4 years ago
On Tuesday Donovan earned $9 for 2 hours of babysitting on Saturday he babysat for the same family and earned 31.50 how may hour
VMariaS [17]

Hi there! :)

<u>Answer:</u>

Donovan babysat for 7 hours on Saturday in order to earn $31.50.


Step-by-step explanation:

In order for you to answer your question, you'll need to use the cross product method:

$9         → 2 hours

$31.50  → X hours

<u>(2 × 31.50)</u> ÷ 9 = X hours

<u>63 ÷ 9</u> = X hours

<u>7 = X hours</u>


There you go! I really hope this helped, if there's anything just let me know! :)

7 0
3 years ago
Read 2 more answers
2. Which statement is true?
salantis [7]

Answer:

C.) All squares are rectangles

Step-by-step explanation:

Rectangles

-4 sides

-the length of opposite sides are equal

-the opposite sides are parrallel to each other

-all angles in a rectangle are 90°

Squares have all the characteristics needed in a rectangle

8 0
3 years ago
Hector drew three rectangles to show the letter H on his notebook. Use the rectangles to find the area of the letter he drew.
Luba_88 [7]
The area of the H is 86
7 0
3 years ago
Carrie has 3 times as many green beads as red beads and 2 as many blue beads as green beads if she has 150 total how many green
Vikentia [17]

There are 45 green beads

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

Let the number of red beads be "x"

Given that, Carrie has 3 times as many green beads as red beads

Number of green beads = 3 times number of red beads

Number of green beads = 3x

<em><u>She 2 as many blue beads as green beads</u></em>

Number of blue beads = 2 times the number of green beads

Number of blue beads = 2(3x) = 6x

<em><u>She has 150 total</u></em>

Therefore,

Number of red beads + Number of green beads + Number of blue beads = 150

x + 3x + 6x = 150

10x = 150

x = 15

Thus, number of green beads = 3x = 3(15) = 45

Thus there are 45 green beads

7 0
4 years ago
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