1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
DIA [1.3K]
3 years ago
14

I don't really understand, please help!!

Mathematics
2 answers:
aivan3 [116]3 years ago
7 0

Step-by-step explanation:

In Triangle ICU,

Angle 2 = 180° - Angle 1 (Angles on a straight line)

CR = CU - RU

In Triangle ISR,

Angle 3 = 180° - Angle 4(Angles on a straight line)

SU = RS - RU

Angle 1 = Angle 4

Therefore, Angle 2 is equal to Angle 3

CU = RS

Therefore, CR is equal to SU

Triangle ICR and Triangle ISU

IC = IS

Angle 2 = Angle 3

CR = SU

Therefore, Triangle ICR and Triangle ISU are congruent (SAS congruency).

As the two triangles are congruent, Angle CIR = Angle SIU

miv72 [106K]3 years ago
4 0

Step-by-step explanation:

the proof is given above

You might be interested in
You need to buy some chicken for dinner tonight. You found an ad showing that the store across town has it on sale for $2.89 a p
ASHA 777 [7]

Answer:

   1. Going to the close store is cheaper.

Step-by-step explanation:

The difference in the prices of chicken is 3.19 -2.89 = 0.30 per pound, so for 5 pounds of chicken, the far store offers a price that totals 5×$0.30 = $1.50 less.

The difference in travel distances is 8.4 -2.4 = 6 miles, so the total round-trip distance difference is 12 miles. The cost of gas is ...

  ($3.81 /gal)/(23 mi/gal) = $0.1656 /mi

so the cost of gas for the 12-mile longer trip would be

  12×$0.1656 ≈ $1.99

Traveling to the far store, you would spend $1.99 more on gas to save $1.50 on the price of chicken. Going to the close store is cheaper.

3 0
3 years ago
The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took these 100 customer
AlladinOne [14]

Answer:

4-2.326\frac{1}{\sqrt{100}}=3.767    

4+2.326\frac{1}{\sqrt{100}}=4.233    

So on this case the 98% confidence interval would be given by (3.767;4.233)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=4 represent the sample mean

\mu population mean (variable of interest)

\sigma=1 represent the population standard deviation

n=100 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

Since the Confidence is 0.98 or 98%, the value of \alpha=0.02 and \alpha/2 =0.01, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.01,0,1)".And we see that z_{\alpha/2}=2.326

Now we have everything in order to replace into formula (1):

4-2.326\frac{1}{\sqrt{100}}=3.767    

4+2.326\frac{1}{\sqrt{100}}=4.233    

So on this case the 98% confidence interval would be given by (3.767;4.233)

   

4 0
3 years ago
Write a linear inequality in two variables that has (-1, 3) as a solution but does not have (4,0) as a solution.
Stels [109]

Answer:  y ≤ -x + 2

<u>Step-by-step explanation:</u>

There are an infinite number of possible solutions.

Plot the two points, draw any line between them such that the two points are NOT connected, then choose the inequality symbol that shades (-1, 3).

Here is one solution that satisfies the requirements.   y ≤ -x + 2

Here is another: y < -x + 3

And another: y > x + 3

And one more: y ≥ x + 4

3 0
3 years ago
Willian bought 11 books. He decided to present 2 books to each of his friends and still have one book left. Find the number of f
ira [324]

Answer:

i think he has 5 friends

Step-by-step explanation:

sorry if im wrong

7 0
3 years ago
Read 2 more answers
The length and width of a rectangular playground are 500ft to 750ft. Anna makes a scale model of the playground using a scale of
nasty-shy [4]
I know it's late but,
25 ft ÷ 4 cm = 6.25
500 ÷ 6.25 = 80
750 ÷ 6.25 = 120
and so your answer is C.<span> 80 centimeters by 120 centimeters
 and again sorry it's late :D</span>
7 0
3 years ago
Other questions:
  • How to solve this equation for y. need assistance please.<br> y-260=-11/5(x-100)
    14·1 answer
  • Decimal to percentage
    13·2 answers
  • What's the answer to x+5=10
    10·2 answers
  • What number is 15% of 120
    10·2 answers
  • If the perimeter of the bedroom is 42 feet and the length what is the width of the bedroom
    9·1 answer
  • 8 strawberries 5 bananas 3 oranges <br><br> Strawberries to bananas and oranges
    11·1 answer
  • I need answers taking test​
    11·1 answer
  • Which additional facts prove that RST and<br> WXY are congruent? (Geometry)
    9·1 answer
  • The sum of a number X and four all divided by three
    5·2 answers
  • Let "c" be the cost of one album on cd. It
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!