Points B,C and D lie on a straight line. AC is perpendicular to BD. BC=6cm and BD=22cm. Triangle ABC has area 42cm^2. Calculate the size of angle x

Answer:  A. The mean absolute deviation is 4

Step-by-step explanation:

Mean absolute deviation (MAD) is found by finding the absolute value of difference between each number in set and mean, adding them together, then dividing by total numbers in set.

Differences

72-62= 10

72-73= 1

72-74= 2

72-75= -3

72-76= -4

add the absolute values...

10+1+2+3+4=20

divide by 5 because that is how many numbers in set...

20/5=4

Step-by-step explanation:

10 of $35=$3.5

20% of $35=$7

50% of $35=$17.5

25% of $35=$8.75

10% of 250g=25g

10% of 350g=35g

10% of 205 g=20.5g

10% of 305g=30.5g

is my answer a verified answer

Answer:

you have a 0.25 chance

Step-by-step explanation:

Each coin has a 0.5 so to get two on heads is 0.25 sorry I don't have time for a detailed reason

Answer:

The correct answer is C

Perpendicular lines have opposite reciprocal slope.

So,  if the slope of the line  is -3, then the slope of the perpendicular line is 1/3.

Let me know if this helps!

Answer: A. 5x+x+18 = 180

Step-by-step explanation:

For B you need to find the value of x first.

5x + x + 18 = 180 is your equation.

Combine like terms: 5x+x = 6x

Equation should now look like this

6x + 18 = 180

Subtract 18 to both sides 180-18 = 162

Do 162/6 = 27

X = 27

WE ARE NOT DONE!!!!!

1. 5(27) = 135

2. 27+18 = 45

Angle 1 = 135

Angle 2 = 45

Answer:

the answer is -2n+10;-18

9514 1404 393

Explanation:

The length CD can be found from the Pythagorean theorem.

  CF² + CD² = DF²

  2² + CD² = (2√10)²

  CD² = 40 -4 = 36

  CD = √36 = 6

From here, any of several methods could be used to find the area of ΔDEF.

One of them is to subtract the areas of the triangles that are not ΔDEF from the area of the rectangle ABCD.

  area ABCD = bh = (6 cm)(5 cm) = 30 cm²

  area ΔADE = 1/2bh = 1/2(4 cm)(5 cm) = 10 cm²

  area ΔBEF = 1/2bh = 1/2(2 cm)(3 cm) = 3 cm²

  area ΔCDF = 1/2bh = 1/2(6 cm)(2 cm) = 6 cm²

Then the area of interest is ...

  area ΔDEF = area ABCD -area ΔADE -area ΔBEF -area ΔCDF

  area ΔDEF = (30 -10 -3 -6) cm²

  area ΔDEF = 11 cm²

__

Alternate solution

If we define A as the origin of a coordinate system, then the coordinates of the vertices of ΔDEF are ...

  D(0, 5), E(4, 0), F(6, 3)

The area can be computed as half the absolute value of the sum of the determinants of 2×2 matrices consisting of adjacent points.

  [tex]A=\dfrac{1}{2}\left|\left|\begin{array}{cc}0&5\\4&0\end{array}\right|+\left|\begin{array}{cc}4&0\\6&3\end{array}\right|+\left|\begin{array}{cc}6&3\\0&5\end{array}\right| \right|\\\\=\dfrac{1}{2}|(0-20)+(12-0)+(30-0)|=\dfrac{1}{2}(22) = \boxed{11}[/tex]

_____

Additional comment

The solution using coordinates is effectively equivalent to the computation of the area of trapezoid ABFD, less the areas of triangles EBF and AED.

Answer:

A. 60°

Step-by-step explanation:

∠BEC = 1/2 arc BC = 32°

∠CED = ∠BED - ∠BEC = 62° - 32° = 30°

arc CD = 2 x ∠CED = 2 x 30° = 60°

The measure of the arc CD of the circle is 60°

Given data:

The central angle is an angle with two arms and a vertex in the middle of a circle.

The central angle of a circle formula is as follows.

Central Angle = ( s x 360° ) / 2πr

And, Central Angle = 2 x Angle in other segment

So,

∠BEC = 1/2 arc BC = 32°

The measure of the angle ∠CED  is determined as:

∠CED = ∠BED - ∠BEC = 62° - 32° = 30°

So, the measure of the arc from the central angle is:

arc CD = 2 x ∠CED = 2 x 30° = 60°

Hence , the measure of arc CD = 60°

To learn more about central angle click :

https://brainly.com/question/11877137

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Answer:

11.2 feets

Step-by-step explanation:

Angle, P = 180 - (38 + 90) = 52

Using trigonometry :

Length pq:

SinP = opposite / hypotenus

Sin52 = 8.8 / pq

0.7880107 * pq = 8.8

pq = 8.8 / 0.7880107

pq = 11.167361

Hence, length of pq = 11.2 feets

Answer:

C).21

Step-by-step explanation:

Answer: 76.5in or 6.37ft

Step-by-step explanation:

You would convert the 4 feet into inches which would be 48in. You would add the 9in and the 19.5in and come up with 76.5in. Then you just convert the 76.5in to 6.375ft

Answer:

B and D are correct.

Step-by-step explanation:

First, we find the length of ALL the sides using the Pythagorean Theorem.

16² + b² = 20²

256 + b² = 400

b² = 144

[tex]\sqrt{144}[/tex] = 12

Now, we know that sine is opp/hyp, cosine is adj/hyp, and tangent is opp/adj.

A is incorrect because that's supposed to be cos. B is correct because that is indeed cos. C is incorrect. D is correct. E and F are incorrect because it's supposed to be sin.

Don't know if any of that made sense. All you need to do is remember the difference between sine, cosine, and tangent.

Answer:

The answer is B and D.

Step-by-step explanation:

Length of ladder AC = 20 feet

Height of the highest point of the ladder from ground AB = 16 ft

By Pythagoras theorem,

AC² = BC² + AB²

BC² = AC² - AB²

BC = √(20)^2-(16)^2

     = √400-256

     = √144

     = 12

Now, Sinθ = opposite side/hypotenuse = AB/AC

                 = 16/20

Cosθ = adjacent side/hypotenuse = BC/AC

         = 12/20

Therefore, A and D are the correct options.

You're very welcome! ;)

Answer:

the y intercept is 2 1/3 and the x intercept is 392/500

Step-by-step explanation:

i just used desmos it helps

Answer:

Step-by-step explanation:

Equate to zero

Answer:

29 and 31 are the only primes.

The prime numbers that are between 27 and 35 are 29 and 31.

Prime numbers are those values ​​that can only be divided by 1 and itself (so the result is an integer).

Thus, analyzing all integer values ​​between 27 and 35 we have: 28,29,30,31,32,33,34.

Among these values, the only ones that are not divisible by numbers other than 1 and themselves are 29 and 31.

Learn more about prime numbers in: brainly.com/question/4184435

Answer:

22 completed surveys

Step-by-step explanation:

In the scenario described above, the sample to be used is the information given by the 22 completed surveys. This is because, the remaining 8 initial samples give no information regarding the working condition of employees. Hence, this data points are the null points and may have to be removed from the data.

Therefore, the sample in the scenario described above are the 22 completed surveys from the initial 20 samples selected.

Answer:

1. 75 employees

2. 22 employees

Step-by-step explanation:

Edge 2021:)

Answer:

A

Step-by-step explanation:

u just collect together like terms and add them together

Answer:

12:00 PM

Step-by-step explanation:

Answer:

-10/4 or -5/2 or -2 1/2

Step-by-step explanation:

Work Shown:

Focus on the angles at the bottom right

Those two angles add to 180 since they form a straight line. We consider them supplementary angles.

x+(4x-20) = 180

5x-20 = 180

5x = 180+20

5x = 200

x = 200/5

x = 40

Answer:

$33,003.87

Step-by-step explanation:

A = 10,000(1 + [tex]\frac{.04}{4}[/tex])^30·4

A = 33,003.87

Answer:

6m * 4m * 2m

Step-by-step explanation:

Given that :

Cubic volume = 48 m³

Possible dimension if none of the dimensions is 1 m

Volumetric Dimension = (length * width * height)

The product of the three dimensions must give 48m³

Constraint : none of the dimensions has a volume of 1 m.

Hence, possible dimension :

6m * 4m * 2m = 48m²

Hence, one possible dimension is :

6m * 4m * 2m

Answer:Set \displaystyle f\left(x\right)=0f(x)=0.

Step-by-step explanation:

Set \displaystyle f\left(x\right)=0f(x)=0.

If the polynomial function is not given in factored form:

Factor out any common monomial factors.

Factor any factorable binomials or trinomials.

Set each factor equal to zero and solve to find the \displaystyle x\text{-}x- intercepts.

Answer:

x = - 4

Step-by-step explanation:

y = -x - 6

2x - 3y = -2

Insert the first equation y = -x-6 into the second 2x - 3y = -2 .

2x - 3 (-x-6) = -2

2x +3x + 18 = -2

5x = -2 - 18

5x = - 20

x = - 20/5

x = - 4

Answer:

62.36

Step-by-step explanation:

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