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kondor19780726 [428]
3 years ago
15

A railroad track follows a straight path from station A to station B. What is the distance traveled by the railroad track from s

tation A to station B before completing its journey until station C? Distance travelled from station A to station C is 3x+4 and from station B to C is 6x-4.
Mathematics
1 answer:
jeka943 years ago
6 0

Answer:

-3x + 8

Step-by-step explanation:

The railroad track moves in a straight path from station A to station B and then from station B to station C.

Let the distance from station A to station C be AC and the distance from station B to station C as BC while the distance from station A to station B be AB the following equation holds:

AC = AB + BC

Given the distance from station A to station C is 3x + 4 and from station B to C is 6x-4, Hence:

AC = 3x + 4 and BC = 6x - 4.

Using the line segment addition postulate:

AC = AB + BC

3x + 4 = AB + (6x - 4)

AB = 3x + 4 - (6x - 4)

AB = 3x + 4 - 6x + 4

AB = 3x - 6x + 4 + 4

AB = -3x + 8

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ABCD is a parallelogram. What is the measure of ∠ACD?
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Step-by-step explanation:

Here

5x+16+7x-3+6x+5 = 180(being sum of triangle)

or, 18x=180-18

or, x= 162/18

so, x = 9

now,

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or, <ACD = 7x-3

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5 0
4 years ago
You earn $49 for washing 7 cars. How much do you earn for washing 4 cars?
ICE Princess25 [194]

Answer:

Step-by-step explanation:

We can use the rule of three!

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\frac{49}{7} = \frac{x}{4}

From here, we can solve this like any other equation:

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4 0
3 years ago
John randomly picks a number from 1 to 5 (both inclusive) and a letter from A to E (both inclusive). What is the probability tha
Greeley [361]

Answer:

P(A \cap B) = P(A) *P(B) =\frac{1}{5} \frac{1}{5}= \frac{1}{25}

So then the best option would be:

a. 1/25

Step-by-step explanation:

For this case we assume that the sample space for the numbers is :

S_1= [A,B,C,D,E]

And the sample space for the numbers is:

S_2 =[1,2,3,4,5]

Both sampling spaces with a size of 5.

We define the following events:

A="We select a 2 from the numbers"

B= "We select a E from the letters"

We can find the individual probabilities for each event like this:

P(A)= \frac{1}{5}

P(B) = \frac{1}{5}

And assuming independence we can find the probability required like this:

P(A \cap B) = P(A) *P(B) =\frac{1}{5} \frac{1}{5}= \frac{1}{25}

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So then the best option would be:

a. 1/25

3 0
4 years ago
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