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3 years ago

Help? Please? I really suck at geometry

Mathematics

1 answer:

Maslowich3 years ago

8 0

Answer:

x = 14

y = 4

Explanation:

Ok so, just from looking at the two triangles i can tell they're congruent right triangles. I used different colors to show which sides of the triangle correspond and are equal to each other in my attatched photo.

So the side thats equal to x is the same length as the side that's equal to y+10 on the other triangle.

So we can write the equation x = y + 10.

Using this same method, the side that's equal to x + 2 is the same length as the side that's equal to 4y on the other triangle.

So, we can write the equation 4y = x + 2.

Now we have the equations $\left \{ {{x=y+10} \atop {4y=x+2}} \right.$ you could rewrite to be in slope- intercept form so they're easier to graph. But a graphing calculator online would plot it just fine.

If you graph these two equations they'll intersect at the solution ( 14, 4 ). I'll include the graph in my images as well.

To check your answer, you can plug in x and y and see if the triangle sides end up being the same length. I did and it was correct.

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Last Wednesday, a random sample of 24 students were surveyed to find how long it takes to walk from the Fretwell Building to the

Ray Of Light [21]

Answer:

Step-by-step explanation:

Solution:-

- We are to investigate the confidence interval of 95% for the population mean of walking times from Fretwell Building to the college of education building.

- The survey team took a sample of size n = 24 students and obtained the following results:

Sample mean ( x^ ) = 12.3 mins

Sample standard deviation ( s ) = 3.2 mins

- The sample taken was random and independent. We can assume normality of the sample.

- First we compute the critical value for the statistics.

- The z-distribution is a function of two inputs as follows:

Significance Level ( α / 2 ) = ( 1 - CI ) / 2 = 0.05/2 = 0.025

Compute: z-critical = z_0.025 = +/- 1.96

- The confidence interval for the population mean ( u ) of walking times is given below:

[ x^ - z-critical*s / √n , x^ + z-critical*s / √n ]

Answer: [ 12.3 - 1.96*3.2 / √24 , 12.3 + 1.96*3.2 / √24 ]

3 0

3 years ago

Simplify (2z^5)(12z^3)/4z^4

Sphinxa [80]

Answer:

$6z^{4}$

Step-by-step explanation:

Given in the question an expression,

$\frac{ (2z^5)(12z^3)}{4z^4}$

Step 1

Apply exponential "product rule"

$x^{m}x^{n}=x^{m+n}$

$\frac{ 12(2)z^5)(z^3)}{4z^4}$

$\frac{ (24)z^5)(z^3)}{4z^4}$

$\frac{ 24(z^{(5+3)})}{4z^4}$

$\frac{ 24(z^{8})}{4z^4}$

Step 2

Apply exponential " divide rule"

$\frac{x^{m}}{x^{n}}=x^{m-n}$

$\frac{24/4(z^{8})}{z^4}$

$\frac{6(z^{8})}{z^4}$

$\frac{6(z^{8-4})}{1}$

$6z^{4}$

5 0

2 years ago

Find the tan A and sin B exactly.

Rudik [331]

Answer:

B - tan A = 4/3, sin B = 3/5

Step-by-step explanation:

First, lets find the length of the third side

b = √15² - 12² = √225 - 144 = √81 = 9

Now, lets get Tan A and Sin B

Tan A = 12/9 = 4/3
Sin B = 9/15= 3/5

Correct option is B

5 0

3 years ago

When is it better to use a table When is it better to use a scatter plot

34kurt

Management information system requires tables, Tables are used only if a person is trying to analyse data and understand its business by summarizing.It is the 1st step of data analysis collecting data. Scatter plot is used when there is a question of association of two or three variable.

Step-by-step explanation:

Table is the matrix to stack up the data in there respective columns.
It is the most important setup to analysis.
It's better used collecting data for any projects or business.
Tables are even used for Bio statistics and Analytics.
Databases uses tables for one query table to another query table.
Scatter plot is dotted plot which analyse two variables.
Example if a project is eating chocolates in gram in x axis.
Gaining weight in y axis two variables are used to predict and outcome.
If a person eats this amount of chocolate it will gain this wait.
Association rules, contingency statistics and rest.

6 0

3 years ago

What are the minimum, first quartile, median, third quartile, and maximum of the data set? PLEASE Show your work.

Schach [20]

54 55 59 61 61 62 68 70 72
First put your numbers in order from least to greatest. This shows your minimum is 54 and maximum is 72.
In the middle of the data set is 61.

54 55 59 61. 61. 62 68 70 72

To find the first qaurtile only use the numbers before rhe median (54 55 59 61) and find the median of that. Since 55 and 59 are both in the middle add them both and divide by two to find the middle lf those two numbers. You should get 57. So 57 is the first quartile.

Do the same steps with the numbers after the meadian for your third quartile. You should get 69 as your answer for the third quartile.

7 0

3 years ago

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