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Ira Lisetskai [31]
2 years ago
7

Hi could any one work out this question Thx​

Mathematics
1 answer:
Dafna11 [192]2 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

∠ ABY and ∠ CBY are adjacent and supplementary, thus

x + 25 + 2x + 50 = 180, that is

3x + 75 = 180 ( subtract 75 from both sides )

3x = 105 ( divide both sides by 3 )

x = 35

Thus

∠ CBY = 2x + 50 = 2(35) + 50 = 70 + 50 = 120°

∠ BEF = ∠ CBY ( corresponding angles )

∠ BEF = 120°

Thus AC and DF are parallel lines

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How many gallons of water will be in the fish tank after 3 minutes?
enyata [817]

If Mai is filling her fish tank with water flowing into the tank at a constant rate, and the tank fills 0.8 gallons in 0.5 minutes, then the tank will be filled with 4.8 gallons of water after 3 minutes.

As per the question statement, Mai is filling her fish tank with water flowing into the tank at a constant rate, and the tank fills 0.8 gallons in 0.5 minutes.

We are required to calculate the volume of water in gallons, that will be filled in the above mentioned tank after 3 minutes.

Here, it is given that, the tank gets filled with 0.8 gallons of water in 0.5 minutes, and that, the water flows into the tank at a constant rate.

So first, let us calculate the water flow rate into the tank per minute, that is, [(0.8 * 2) = 1.6 gallons] per minute, since [(0.5 minutes * 2) = 1 minute]

Therefore, the tank will get filled with [(1.6 * 3) = 4.8 gallons] of water in 3 minutes, if the water inflow rate is 1.6 gallons per minute.

  • Gallons: A gallon (gal) is a measuring unit for volume and capacity, typically used by the U.S. customary and earlier by the British Imperial Systems of Measurement, with 1 US gallon being equal to 3.785411784 Litres, and 1 imperial gallon being equal to 4.54609 L.

To learn more about Gallons and Constant Flow Rates, click on the link below.

brainly.com/question/17856253

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4 0
1 year ago
Manesh is putting new tile on a kitchen counter. Each sheet of tile will cover 1.5ft
hjlf
What’s the rest of the question
5 0
2 years ago
Read 2 more answers
Make a dot plot for each set of data. Compare and contrast the shape, spread, and center of the data.
jeka94

Set A has a peak at 5. It is also skewed to the right. The center is 5.

Set B also has a peak at 5. Is relatively symmetrical. The center is also 5.

(Sorry about those circle in the back of my picture)

6 0
2 years ago
Find the measures of the angles in each triangle <br> 2xº<br> 3x°<br> xº
snow_lady [41]

Answer:

x = 30°

The angles:

  • 2x° = 60°
  • 3x° = 90°
  • x° = 30°

Step-by-step explanation:

Hello!

The sum of all the angles in a triangle is 180°. So we can set up an equation for this question.

Solve the equation:

  • 2x° + 3x° + x° = 180°
  • 6x° = 180°
  • x° = 30°

We can replace 30° for all the angles.

The measures are:

  • 2(30°) = 60°
  • 3(30°) = 90°
  • 1(30°) = 30°

4 0
2 years ago
Read 2 more answers
A recent study found that the average length of caterpillars was 2.8 centimeters with a
pogonyaev

Using the normal distribution, it is found that there is a 0.0436 = 4.36% probability that a randomly selected caterpillar will have a length longer than (greater than) 4.0 centimeters.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, the mean and the standard deviation are given, respectively, by:

\mu = 2.8, \sigma = 0.7.

The probability that a randomly selected caterpillar will have a length longer than (greater than) 4.0 centimeters is <u>one subtracted by the p-value of Z when X = 4</u>, hence:

Z = \frac{X - \mu}{\sigma}

Z = \frac{4 - 2.8}{0.7}

Z = 1.71

Z = 1.71 has a p-value of 0.9564.

1 - 0.9564 = 0.0436.

0.0436 = 4.36% probability that a randomly selected caterpillar will have a length longer than (greater than) 4.0 centimeters.

More can be learned about the normal distribution at brainly.com/question/24663213

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4 0
2 years ago
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