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sp2606 [1]
3 years ago
12

Point C is on line segment \overline{BD} BD . Given CD=x,CD=x, BC=5x-5,BC=5x−5, and BD=2x+7,BD=2x+7, determine the numerical len

gth of \overline{CD}. CD .
Mathematics
1 answer:
NARA [144]3 years ago
3 0

Answer:

CD = 3

Step-by-step explanation:

Given

CD = x

BC = 5x - 5

BD = 2x + 7

Required

Determine CD

Since, C is a point on BD, the relationship between the given parameters is;

BD = BC + CD

Substitute the values of BD, BC and CD

2x + 7 = 5x - 5 + x

Collect Like Terms

2x - 5x - x = -5 - 7

-4x = -12

Divide both sides by -4

\frac{-4x}{-4} = \frac{-12}{-4}

x = 3

To determine the length of CD;

Substitute 3 for x in CD = x

Hence;

CD = 3

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Answer:

21.75 or 21 \frac{3}{4}

Step-by-step explanation:

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7 0
3 years ago
Skylar is filling a barrel with water. The graph shows the relationship between time in minutes and the gallons of water in the
lisov135 [29]

Answer:

t>15  will be inequality which shows the times there will be more than 10 gallons in the barrel.

Step-by-step explanation:

To determine:

Write an inequality showing the times there will be more than 10 gallons in the barrel.

Information Fetching and Solution Steps:

  • Skylar is filling a barrel with water.
  • The graph shows the relationship between time in minutes and the gallons of water in the barrel.

As the questions asks to determine the inequality showing the times there will be more than 10 gallons in the barrel.

For inequalities with 'more than', we use the 'greater than' symbol.

The graph shows that at time 15 minutes, the number of gallons of water is being shown as 10. As we have to determine the inequality for the time there will be more than 10 gallons in the barrel. So, time must be greater than 15 when there will be more than 10 gallons in the barrel.

If time is represented by 't', then the inequality showing the times there will be more than 10 gallons in the barrel will be:

                                                                   t>15

Therefore,  t>15  will be inequality which shows the times there will be more than 10 gallons in the barrel.

4 0
3 years ago
PLEASE AWNSER NEEDED NOW Find the volume of the figure. Round your answers to the nearest hundredth, if necessary
Margaret [11]
Didn’t you get that correct?
3 0
2 years ago
ASAP pleaseeeee Marty was renting a boat and wanted to get the best plan . Rental plan A charges a fee of $ 50 plus $ per hour P
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Answer:

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Step-by-step explanation:

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A jet flew from new york to london in 7 hours the average speed was 499.4 miles an hour how many miles was the trip
DENIUS [597]
499.4 x 7 = 3495.8 miles
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3 years ago
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