All categories

2 years ago

Find the stated lengths in each parallelogram

Mathematics

1 answer:

alexandr1967 [171]2 years ago

8 0

Answer:

40/3, 172/3, respectively

Step-by-step explanation:

x + 9 = 2y

2x = 2y + 2

x + 9 = 2(2x - 2)

4x - 4 = x + 9

3x - 13 = 0

x = 13/3

y = 40/6

RT = 13/3 + 9 = 40/3

QS = 160/3 + 4 = 172/3

You might be interested in

Evaluate a−b+3c when .a=4, b=−2, and c=3. a−b+3c =4−( )+3∙ =4+ + =

igomit [66]

Answer:

Step-by-step explanation:

4-(-2)+3(3)

4+2+9

5 0

2 years ago

Read 2 more answers

Need help pls<br>thank you in advance

ira [324]

Answer:

<u />

$\textsf{Mean}\:\overline{X}=\sf \dfrac{\textsf{sum of all the data values}}{\textsf{total number of data values}}$

$\implies \sf Mean\:(Nilo)=\dfrac{5+6+14+15}{4}=\dfrac{40}{4}=10$

$\implies \sf Mean\:(Lisa)=\dfrac{8+9+11+12}{4}=\dfrac{40}{4}=10$

<h3><u>Standard Deviation</u></h3>

$\displaystyle \textsf{Standard Deviation }s=\sqrt{\dfrac{\sum X^2-\dfrac{(\sum X)^2}{n}}{n-1}}$

$\begin{aligned}\displaystyle \textsf{Standard Deviation (Nilo)} & =\sqrt{\dfrac{(5^2+6^2+14^2+15^2)-\dfrac{(5+6+14+15)^2}{4}}{4-1}}\\\\& = \sqrt{\dfrac{482-\dfrac{40^2}{4}}{3}}\\\\& = \sqrt{\dfrac{82}{3}}\\\\& = 5.23\end{aligned}$

$\begin{aligned}\displaystyle \textsf{Standard Deviation (Lisa)} & =\sqrt{\dfrac{(8^2+9^2+11^2+12^2)-\dfrac{(8+9+11+12)^2}{4}}{4-1}}\\\\& = \sqrt{\dfrac{410-\dfrac{40^2}{4}}{3}}\\\\& = \sqrt{\dfrac{10}{3}}\\\\& = 1.83\end{aligned}$

<h3><u>Summary</u></h3>

Nilo has a mean score of 10 and a standard deviation of 5.23.

Lisa has a mean score of 10 and a standard deviation of 1.83.

The <u>mean</u> scores are the <u>same</u>.

Nilo's standard deviation is higher than Lisa's. Therefore, Nilo's test scores are more <u>spread out</u> that Lisa's, which means Lisa's test scores are more <u>consistent</u>.

5 0

1 year ago

How old are you if your birthday is june 17th 1989?

Bond [772]

If my birthday was around that time I would be twenty eight years old. 1989-2017 gives me twenty eight

3 0

2 years ago

For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 21 N acts on

Marat540 [252]

Answer:

21N:7m/s

? :10m/s

21x10=210

210÷7=30N

Your final answer is 30N

Step-by-step explanation:

This is called direct propotion

it involves close multiplication

4 0

2 years ago

A number added to 12 and then subtracted by 18 equals 26. What is the number

tiny-mole [99]

The answer would be 32. take your 26 and add 18 then subtract 12. then rework it forward if you don't understand.

4 0

2 years ago

Read 2 more answers