Ask question

Ask question

All categories

3 years ago

12

In the circle above, FH and GJ are chords which intersect at point K. If FK = 3 mm, HK = 4 mm, and GK = 2 mm, what is the length

of JK?

1 answer:

Svetach [21]3 years ago

6 0

We have a formula for that( according to the Intersecting chords theorem)
$fk \times hk = gk \times jk$
3×4=2×jk
6=jk

You might be interested in

"A laboratory tested 73 chicken eggs and found that the mean amount of cholesterol was 230 milligrams with LaTeX: \sigmaσ = 17.4

Scrat [10]

Answer:

The 95% confidence interval for the true mean cholesterol content, μ, of all such eggs is between 226.01 and 233.99 milligrams.

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:

$\alpha = \frac{1-0.95}{2} = 0.025$

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 $1-0.025 = 0.975$ , so $z = 1.96$

Now, find 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.

$M = 1.96*\frac{17.4}{\sqrt{73}} = 3.99$

The lower end of the interval is the sample mean subtracted by M. So it is 230 - 3.99 = 226.01

The upper end of the interval is the sample mean added to M. So it is 230 + 3.99 = 233.99.

The 95% confidence interval for the true mean cholesterol content, μ, of all such eggs is between 226.01 and 233.99 milligrams.

4 0

3 years ago

The first term of an arithmetic sequence is -5, and the tenth term is 13. Find the common difference.

zzz [600]

Hello,

$u_{1} =-5\\
 u_{2} =-5+d\\
 u_{3} =-5+2d\\
 u_{4} =-5+3d\\
...\\
 u_{10} =-5+9d=13\\
==\ \textgreater \ 9d=18 \\
==\ \textgreater \ d=2

$

6 0

3 years ago

Convert 11.42424242 to a rational expression in the form of a/b , where b ≠ 0.

TiliK225 [7]

11.424242
isolate the repeating part
11+0.424242

focus on the repeating part
0.42424242
how many places till it repeats again?
2
let's say it is x
x=0.42424242
multiply by 100
100x=42.424242

subtract them
100x-x=42.42424242-0.42424242
the infinite repeats cancel and we get
99x=42
divide by 99
$x=\frac{42}{99}$

so
$11.\overline{42}=11 \space\ \frac{42}{99}$

5 0

3 years ago

Read 2 more answers

Margie needs 7 ticket to the same soccer game.

Ivahew [28]

Do 3 divided by 53 to find the cost of one ticket and then multiply the that number with 7

7 0

3 years ago

Read 2 more answers

Pls help!!! I dont understand this! There are at least 3 of them

vlada-n [284]

D maybe................

3 0

3 years ago

Read 2 more answers