All categories

3 years ago

Figure ABCD is a kite. Find the value of x.

Mathematics

1 answer:

julsineya [31]3 years ago

5 0

Answer:

x=5

Step-by-step explanation:

i think you posted this question twice, but here it is:

in order for this figure to truly be a kite, AD and AB have to be equal.

So:

4x=x+15

now we must solve the equation:

3x=15

x=5

You might be interested in

Adsyin reads 2 pages every 15 minutes. Raul reads 5 pages every hour. How many do they read altogether in 2 hours?

Anton [14]

Answer:

26 pages in 2 hours

Step-by-step explanation:

Adysin

60 minutes divided by 15 equals 4

2 times 4 equals 8

8 times 2 equals 16

Raul

5 times 2 equals 10

16 plus 10 equals 26

5 0

3 years ago

Read 2 more answers

An IQ test is designed so that the mean is 100 and the standard deviation is 18 for the population of normal adults. Find the sa

melisa1 [442]

Answer:

At least 98 people need to be sampled. It is not a huge number, that is, it is not difficult to sample 98 people, so it is a reasonable sample size for a real world calculation.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.9}{2} = 0.05$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.05 = 0.95$ , so $z = 1.645$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

In this question:

We need a sample size of at least n.

n is found when M = 3. We have that $\sigma = 18$ .

$M = z*\frac{\sigma}{\sqrt{n}}$

$3 = 1.645*\frac{18}{\sqrt{n}}$

$3\sqrt{n} = 1.645*18$

Simplifying by 3

$\sqrt{n} = 1.645*6$

$(\sqrt{n})^{2} = (1.645*6)^{2}$

$n = 97.41$

Rounding up,

At least 98 people need to be sampled. It is not a huge number, that is, it is not difficult to sample 98 people, so it is a reasonable sample size for a real world calculation.

8 0

3 years ago

A five-sided polygon is called a _________.

Margaret [11]

It is called a Pentagon

5 0

3 years ago

Read 2 more answers

One student from the school will be selected at random. What is the probability the selected student chose the art elective and

Black_prince [1.1K]

Answer:

Step-by-step explanation:

The students are only allowed to take one slot for the elective. Therefore, there is a probability of zero that they would have chosen both art and music.

4 0

3 years ago

10. In what year would you expect 5% of the<br> U.S. population to smoke cigarettes?

MissTica

Sadly, 14% of US smokes that’s just adult

6 0

3 years ago