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2 years ago

What are the lengths of line segments AB and BC?

Mathematics

2 answers:

Natalka [10]2 years ago

7 0

Answer:

AB = 10 and BC = 28

Step-by-step explanation:

The opposite sides of a parallelogram are congruent, thus

AB = DC, that is

3y - 2 = y + 6 ( subtract y from both sides )

2y - 2 = 6 ( add 2 to both sides )

2y = 8 ( divide both sides by 2 )

y = 4

Hence AB = 3y - 2 = (3 × 4) - 2 = 12 - 2 = 10

And

AD = BC, that is

2x - 4 = x + 12 ( subtract x from both sides )

x - 4 = 12 ( add 4 to both sides )

x = 16

Hence BC = x + 12 = 16 + 12 = 28

Gnesinka [82]2 years ago

3 0

Answer:

AB = 10; BC = 28

Step-by-step explanation:

Just took the quiz <3

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Find Angle C!! Thankyou I really need help

anzhelika [568]

Answer:

180-146=34 146+34=180

Step-by-step explanation:

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2 years ago

In a square, one pair of opposite sides was made 50% longer and the other pair of opposite sides was made 50% shorter

omeli [17]

Sorry, maybe is too late for you, But the answer is:
For example: 4 x 4=16cm² if one pair of opposite sides was made 50% longer and the other pair of opposite sides was made 50% shorter
It became: 6 x 2=12cm²
12/16=0.75
So, the 75% of the square’s area is the area of the new rectangle.

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2 years ago

A company claims that less than 10% of adults own a smart watch. You want to test this claim, and you find that in a random samp

Nezavi [6.7K]

Answer:

Test statistic is 0.67

Critical value is -2.33

Step-by-step explanation:

Consider the provided information.

The formula for testing a proportion is based on the z statistic.

$z=\frac{\hat p-p_0}{\sqrt{p_0\frac{1-p_0}{n}}}$

Were $\hat p$ is sample proportion.

$p_0$ hypothesized proportion and n is the smaple space,

Random sample of 100 adults, 12% say that they own a smart watch.

A company claims that less than 10% of adults own a smart watch.

Therefore, n = 100 $\hat p$ = 0.12 , $P_0$ = 0.10

$1 - P_0 = 1 - 0.10 = 0.90$

Substitute the respective values in the above formula.

$z=\frac{0.12-0.10}{\sqrt{0.10\frac{0.90}{100}}}$

$z\approx 0.67$

Hence, test statistic = 0.67

This is the left tailed test.

Now using the table the P value is:

P(z < 0.667) = 0.7476

P-value = 0.7476

$\alpha = 0.01$

Here, P-value > α therefore, we are fail to reject the null hypothesis.

$Z_{\alpha}= Z_{0.01} = -2.33$

Hence, Critical value is -2.33

7 0

2 years ago

A group of students and workers entering a metro station were asked whether they were riding the bus or the subway. The two-way

BaLLatris [955]

Because this is a two-way table, the answer would be that 166 people were polled in total. Why? Well, there are lots of corresponding patterns leading up to this answer. We can easily find the answer by looking at the problem two different ways:

1st way: Identifying the missing solution by rows.

27 + 21 = 48 and 42 + 76 = 118, so we can find the missing value by adding 69 and 97 to get 166.

2nd way: Identifying the missing solution by columns.

27 + 42 = 69 and 21 + 76 = 97, so we can find the missing value by adding 48 and 118 to get 166, our missing solution.

Your final answer: 166 people were polled. Your answer would be D. If you need to better understand this, let me know and I will gladly assist you.

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1 year ago

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mart [117]

A
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3 years ago

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