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Dmitry [639]
3 years ago
5

50 points! I will mark brainliest! Random answers will be reported :)

Mathematics
1 answer:
ASHA 777 [7]3 years ago
3 0

Answer:

x=10

Step-by-step explanation:

Notice that all three sides of the given triangle has one tick mark.

This means that all three sides are congruent, meaning that we have an equilateral triangle.

And for equilateral triangles, all three angles are also congruent.

So:

\angle CBA=\angle BAC=\angle ACB

Also, recall that the interior angles of a triangle is always 180. Thus:

\angle CBA+\angle BAC+\angle ACB=180

Substitute:

\angle CBA+\angle CBA+\angle CBA=180

Combine like terms:

3\angle CBA=180

Substitute:

3(6x)=180

Multiply:

18x=180

Thus:

x=10

And we are done!

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Find the Mean and MAD of the data set: 7, 6, 17, 8, 7, 9
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Answer: Mean: 9

MAD: 46

Step-by-step explanation:

I will show u how to work out the mean

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MEAN:

The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

MAD:

1) To find the mean absolute deviation of the data, start by finding the mean of the data set.

2 )Find the sum of the data values, and divide the sum by the number of data values.

3) Find the absolute value of the difference between each data value and the mean: |data value – mean.

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Evaluate f(x)=3x+8 for x = 1
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F(x) = 3x + 8
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f (1) = 3 + 8
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The ratio 15:3 in its simplest
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Step-by-step explanation:

Divide each by 3.

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A woman has twice as many dimes as quarters in her purse. If the dimes were quarters and the quarters were dimes, she would have
Digiron [165]
If x = # of quarters, then, the # of dimes will be equal to 2x. The total value (z) would be equal to:

z = 0.25x + 0.10(2x)

Then, since you switch the quarters and the dimes, and you have a new total, the resulting equation will be:

1.2 + z  = 0.25(2x) + 0.10(x)

Plug in the values you know:

1.2 + (0.25x + 0.10(2x)) = 0.25(2x) + 0.10(x)

Solve for x:

1.2 + (0.25x + 0.20x) = 0.50x + 0.10x
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Please help me with his math question ​
mr_godi [17]

Answer:  ∠A = 55° (acute)

               ∠B = 105° (obtuse)

               ∠C = 86° (acute)

               ∠D = 114° (obtuse)

<u>Step-by-step explanation:</u>

Use Law of Cosines: a² = b² + c² - 2bc · cosA     for each of the angles.

Note that ∠B from each triangle will have to be added to solve for ∠B.

Similarly for ∠D.

For ΔDAB: a = 9.1, b = 7.3, d = 11

9.1² = 7.3² + 11² - 2(7.3)(11) · cosA

82.81 = 53.29 + 121 - 160.6 · cosA

-91.48 = -160.6 cosA

0.5696 = cos A

55° = A

b² = a² + c² - 2ac · cosB

7.3² = 9.1² + 11² - 2(9.1)(11) · cosB

53.29 = 82.81 + 121 - 200.2 · cosB

-150.52 = -200.2 cosB

0.7518 = cosB

41° = B

ΔDAB: ∠A + ∠B + ∠D = 180°

            55° + 41° + ∠D = 180°

                 96°    + ∠D = 180°

                              ∠D = 84°

*****************************************************

For ΔBCD: b = 8.2, c = 9.1, d = 4.6

b² = c² + d² - 2cd · cosB

8.2² = 9.1² + 4.6² - 2(9.1)(4.6) · cosB

67.24 = 82.81 + 21.16 - 83.72 · cosB

-36.73 = -83.72 cosB

0.4387 = cosB

64° = B                                        ∠B in ABCD = 41° + 64° = 105°

c² = b² + d² - 2bd · cosC

9.1² = 8.2² + 4.6² - 2(8.2)(4.6) · cosC

82.81 = 67.24 + 21.16 - 75.44 · cosC

-5.59 = -75.44 cosC

0.074 = cosC

86° = C      

d² = b² + c² - 2bc · cosD

4.6² = 8.2² + 9.1² - 2(8.2)(9.1) · cosD

21.16 = 67.24 + 82.81 - 149.24 · cosD

-128.89 = -149.24 cosD

0.8636 = cosD

30° = D                                        ∠D in ABCD = 84° + 30° = 114°

****************************************************************************

Acute angles are those that are less than 90°   --> ∠A & ∠C

Obtuse angles are those that are greater than 90°  --> ∠B & ∠D  

6 0
4 years ago
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