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
oksano4ka [1.4K]
3 years ago
9

7. Write a paragraph proof of theorem 3-8: in a plane, if two lines are perpendicular to the same line, then they are parallel t

o each other.

Mathematics
1 answer:
aliina [53]3 years ago
6 0

Step-by-step explanation:

Assume that two lines x and y are perpendicular to the line z.

+) x intersects z at point A => Angle A1 = 90°

+) y intersects z at point B => Angle B1 = 90°

As it can be seen from the figure that Angle A1 and Angle B1 are corresponding angles and they are congruent.

According to the corresponding angle theorem, when two parallel lines are cut by a transversal, the pair of corresponding angles are congruent and vice versa, when two lines are cut by the same line and the pair of corresponding angles are congruent, they are parallel.

=> x and y are parallel.

You might be interested in
The function p(x) = –2(x – 9)2 + 100 is used to determine the profit on T-shirts sold for x dollars. What would the profit from
Naddik [55]
Your answer would be $28.00, B. <333xx
3 0
3 years ago
Read 2 more answers
The amount of toothpaste in a tube is normally distributed with a mean of 6.5 ounces and a standard
Anarel [89]

Answer:

a) 266 tubes ,  TC_r = $53.2

b) 266 tubes ,  T.Loss = $13.30

Step-by-step explanation:

Given:

- The sample size of tubes n = 1,000 tubes

- The mean of the sample u = 6.5 oz

- The standard deviation of the sample s.d = 0.8 oz

- Cost of manufacturing a tube C_t = 50 cents

- Cost of refilling a tube C_r = 20 cents

- Profit loss per tube Loss = 5 cents

Find:

a). How many tubes will be found to contain less than 6 ounces? In that case, what will be the total cost of the  refill?

b) How many tubes will be found to contain more than 7 ounces? In that case, what will be the amount of  profit lost?

Solution:

- First we will compute the probability of tube containing less than 6 oz.

- Declaring X : The amount of toothpaste.

Where,                         X ~ N ( 6.5 , 0.8 )

- We need to compute P ( X < 6 oz )?

Compute the Z-score value:

                  P ( X < 6 oz ) =  P ( Z < (6 - 6.5) / 0.8 ) = P ( Z < -0.625 )

Use the Z table to find the probability:

                               P ( X < 6 oz ) = P ( Z < -0.625 ) = 0.266

- The probability that it lies below 6 ounces. The total sample size is n = 1000.

       The number of tubes with X < 6 ounces = 1000* P ( X < 6 oz )

                                                                           = 1000*0.266 = 266 tubes.

- The total cost of refill:

                            TC_r = C_f*(number of tubes with X < 6)

                            TC_r = 20*266 = 5320 cents = $53.2

- We need to compute P ( X > 7 oz )?

Compute the Z-score value:

                  P ( X > 7 oz ) =  P ( Z > (7 - 6.5) / 0.8 ) = P ( Z < 0.625 )

Use the Z table to find the probability:

                               P ( X > 7 oz ) = P ( Z > 0.625 ) = 0.266

- The probability that it lies above 7 ounces. The total sample size is n = 1000.

       The number of tubes with X > 7 ounces = 1000* P ( X > 7 oz )

                                                                           = 1000*0.266 = 266 tubes.

- The total cost of refill:

                            T.Loss = Loss*(number of tubes with X > 7)

                            T.Loss = 5*266 = 1330 cents = $13.30

5 0
2 years ago
Express it in Scientific notation <br>48,800,000​
Sidana [21]

Express it in Scientific notation

48,800,000.

The answer:

4.88 x 10⁷

5 0
2 years ago
Read 2 more answers
Helpppp y’all sososososo
Scorpion4ik [409]

Answer:

3/4

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Can someone please help me???
PolarNik [594]

Answer:

c,d

Step-by-step explanation:

factorise it

x + 4 = 0   ⇒   x1 = −4

x − 2 = 0   ⇒   x2 = 2

4 0
3 years ago
Other questions:
  • Decrease 248 by 30%
    9·1 answer
  • Help please!!! | DON'T GUESS, please show work
    11·1 answer
  • Solve the equation 3/4x+3-2x = -1/4+1/2x+5
    11·2 answers
  • Okay I do not get questions like this ..
    8·1 answer
  • How to solve this equation: ax² - 5x + 2 = 0
    5·1 answer
  • Question 27 Multiple Choice Worth 1 points)
    13·1 answer
  • PLEASE HELP ME ASAP
    7·1 answer
  • A store sells a package of 25 trading cards for $5.25. Explain how you can tell that the unit price is less that $1. What is the
    6·1 answer
  • BRAINLY AND 20 PTS TO WHOEVER GETS IT RIGHT
    7·1 answer
  • Hanna simplified the following math statement. What did she do wrong? Show the correct answer and explain your reasoning.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!