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
Ilia_Sergeevich [38]
3 years ago
10

A train traveling at a constant speed takes a passenger from Deer Lake to Liberty, stopping first at Summerville and next at Cyp

ress before arring at Liberty. It takes three times as long to go from Deer Lake to Summerville as it does to go from Summerville to Cypress. It takes twice as long to go from Cypress to Liberty as it does to go from Summerville to Cypress. How far is the ride from Deer Lake to Cypress if the entire trip is 360 miles? Name a geometric postulate or theorem used to find the solution.

Mathematics
2 answers:
nasty-shy [4]3 years ago
8 0
Deer Lake - Summerville - Cypress - Liberty
Deer Lake to Summerville is 3
Summerville to Cypress is 1
Cypress to Liberty is 2
So if the entire trip is 360 miles, then you will take 3+1+2=6.
So from Deer Lake to Cypress, it would be 3+1=4.
So 4/6.
360÷6=60
Therefore 60×4=
240 Miles from Deer Lake to Cypress!
Scorpion4ik [409]3 years ago
3 0

Answer:

The ride from Deer Lake to Cypress is 240 [mi]. To find the solution we use the segment addition postulate

Explanation:

The segment addition postulate states that for a line with initial point A and finish point C, a third point B lies in the segment only if the distances between points satisfies the following equation:

  • AB + BC = AC

In this case, we have a line with four points:

A - Deer Lake

B - Summerville

C - Cypress

D - Liberty  

And we are required to find the distance from Deer Lake to Cypress (AC) knowing that AD = 360 [mi] and knowing that:

  • AD = AB + BC + CD --> This is the equation derived from the segment addition postulate.
  • AB = 3BC --> Going from Deer Lake to Summerville takes three times as long than going from Summerville to Cypress. Since the speed is constant, three times the time means three times the distance.
  • CD = 2BC --> (Same expalantion as above, except for different locations)

We end up with 3 equations and 3 unknowns. All we need to do now is to solve it

  1. Substitue equation 2 and 3 in equation 1 and solve for BC
  2. Use equation 2 to get AB
  3. Use equation 3 to get BC

They want us to find AC (Deer Lake to Cypress), we knoe the postulate, we know the values:

  • AC = AB + BC = 180 + 60
  • AC = 240 [mi]

You might be interested in
12/18 In simplest form
FromTheMoon [43]
2/3 is the simplest form
7 0
3 years ago
Read 2 more answers
PLEASE HELP!! <br><br> Solve -3(x+5)=-9 <br><br> Enter your answer in the box. <br><br> X= | |
tigry1 [53]

Answer: x=-2

Step-by-step explanation:

3 0
3 years ago
Zohar is using scissors to cut a rectangle with a length of 5x – 2 and a width of 3x + 1 out of a larger piece of paper. The per
enot [183]
62 cm. plug in 4 for x. 2(5(4)-2))+2(3(4)+1))= 2(18)+2(13)= 36+26=62. Hope this helps!
8 0
3 years ago
1
uranmaximum [27]

Answer:

1. 1

2. 1

3. -1/125

4. 1/125

8 0
3 years ago
Mr. Black bought a television set for $450.00. He later sold the television set at a loss of 30%. (a) Calculate the amount of th
fgiga [73]

The amount of the loss exists 1350.

<h3>What is the amount of loss?</h3>

Amount of Loss means an amount equivalent to the outstanding balance of the principal amount, less any amounts recognized by perfecting rights under a security agreement, together with such interest as the executive director shall permit, to a maximum of such interest as may be permitted by rule.

Given: Mr. Black purchased a television set for $450.00. He subsequently sold the television set at a defeat of 30%.

From the given information, we get

$4500\cdot \frac{30}{100}

simplifying, we get

$4500\cdot \frac{30}{100}

= 1350

Therefore, the amount of the loss exists 1350.

To learn more about opportunity loss refer to:

brainly.com/question/19569042

#SPJ9

3 0
2 years ago
Other questions:
  • 7 x (-3) x (-2)^2=? A.84 B.48 C.-84 D.-48
    7·1 answer
  • How do I find X Y and Z using these equations: 2x-y+2z=7 -x+2y-2z=-6 and -2x+3y-4z=-9 ?​
    15·1 answer
  • A relation is a special type of function. <br> A. True<br> B. False <br> (30) points
    5·1 answer
  • James planted 195 flowers in 3 days. There were 4 volunteers, including James, who each planted the same number of flowers. Abou
    13·1 answer
  • Find constants a , b, and c such that the function
    9·1 answer
  • A rock outcrop was found to have 95.82% of its parent U- 238 isotope remaining. Approximate the age of the outcrop. The half-lif
    10·1 answer
  • Mia has earned $43.94 of tokens playing games at the<br><br>amusement center.
    7·1 answer
  • ibigay ang iyong sariling ideya sa sumusunod na sitwasyon. gumamit ng panguri at pang-abay. ilagay sa sagutang papel​
    9·1 answer
  • Multiply.
    6·1 answer
  • Find m Angle DEH and m Angle FEH.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!