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2 years ago

For which segment lengths is AC¯¯¯¯¯ parallel to DE¯¯¯¯¯ ?

Mathematics

2 answers:

Lemur [1.5K]2 years ago

8 0

I just took the test, this is the only question i got wrong.

#1-Parallel.

#2-Parallel

#3-Not parallel

Kruka [31]2 years ago

4 0

Answer:

Step-by-step explanation:

By triangle theorem for similarity we have

AC||DE if and only if

the ratios

$\frac{AD}{BD}=\frac{CE}{EB}$

Option I:

Here we find the ratios are equal to 1/2

Hence parallel

OPtion 2:

Here we get both ratios equal to 2/3 Hence parallel

Option 3:

Here we get I ratio =2/5 and II ratio =4/7

Since the two are not equal we get not parallel

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Show one way to count from $82 to $512

Sedaia [141]

First way:
The easiest and simplest way is to count by 1 starting from 82 till you reach 512.
This will go as follows:
82, 83, 84, 85, ........... , 510, 511, 512

Second way:
We can note that the two given numbers are even numbers. This means that the two numbers are divisible by 2.
Therefore, we can count by 2 starting from 82 till we reach 512.
This will go as follows:
82, 84, 86, 88, ................... , 508, 510, 512

Third way:
We can note that the units digit in both numbers is the same (the digit is 2). This means that we can count from 82 till 512 by adding 10 each time.
This will go as follows:
82, 92, 102, 112, ......................, 492, 502, 512

Hope this helps :)

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1 year ago

Decrease £19064.67 by 9.5% Give your answer rounded to 2 DP.

Advocard [28]

Answer:

£17253.53 to the nearest hundredth.

Step-by-step explanation:

Decreasing by 9,5% is equivalent to multiplying by 1 - 0.095 = 0.905.

19064.67 * 0.905

= £17253.52635.

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2 years ago

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On the way to her babysitting job, Mary rode her bike for the first mile. She stopped at a traffic light and waited a few minute

Aloiza [94]

The answer is b, hope this helps

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2 years ago

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According to a "how to stop bullying" Web site, 15% of students report experiencing bullying one to three times within the most

AlekseyPX

Answer:

His 95% confidence interval is (0.065, 0.155).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 186, \pi = 0.11$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.11 - 1.96\sqrt{\frac{0.11*0.89}{186}} = 0.065$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.11 + 1.96\sqrt{\frac{0.11*0.89}{186}} = 0.155$

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1 year ago

Which equation represents the line that passes through the points (6, –3) and (–4, –9)?

Delvig [45]

(6,-3)(-4,-9)
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y - y1 = m(x - x1)
slope(m) = 3/5
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2 years ago

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