given: tangent TA is parallel to KM. Prove: KS = MS

Answer:

1 hour did he drive yesterday

Answer:

[tex] \sf \: \fbox{Option C) \: The salary of B is 6000₹}[/tex]

Step-by-step explanation:

Let the salary or A is x and salary of B is y.

now,

Condition one,The sum of 3/4th of A’s salary and 5/3rd of B’s salary is ₹16,000.

writing above statement in equation form,

[tex] \sf \frac{3x}{4} + \frac{5y}{3} = 16000[/tex]

Multiplying above equation with twelve,

[tex] \sf \frac{3x}{4} + \frac{5y}{3} = 16000 \\ \sf \frac{12 \times 3x}{4} + \frac{12 \times 5y}{3} = 16000 \times 12 \\ \sf \fbox{9x + 20y = 192000} \rightarrow eq. 1[/tex]

and condition two,

The difference of their salaries is ₹2000

[tex] \sf \: x - y = 2000[/tex]

Multiplying above equation with 20

[tex] \sf \fbox{\: 20x -20y = 40000} \rightarrow eq.2[/tex]

On adding equation 1 and equation 2,

[tex] \sf9x + \cancel{20y} = 192000 \\ \sf 20x - \cancel{20y} = 40000 \\ \hline \sf 29x + 0y = 232000 \\ \sf x = \frac{232000}{29} \\ \sf \: \fbox{x = 8000₹}[/tex]

Substituting the value of x in,

[tex] \sf \: x - y = 2000 \\ \sf \: 8000 - y = 2000 \\ \sf \: y = 8000 - 2000 \\ \sf \fbox{y = 6000₹}[/tex]

[tex] \sf \: \fbox{The salary of B is 6000₹}[/tex]

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Answer:

sq rt 2/2

Step-by-step explanation:

Use unit circle to find the answer.

The base of 6 is the same, so add 1/2+1/2 =1

6^1 = 6

Answer:

The asnwer is

The base of 6 is the same, so add 1/2+1/2 =1

6^1 = 6

Step-by-step explanation:

I hope i helped you very much

Answer:

  w = 73°

Step-by-step explanation:

The relations involved in solving this figure are ...

__

The linear pair at lower left gives us a relation we can solve for x:

  x +(3x -24) = 180

  4x = 204

  x = 51

Then the sum of angles inside the quadrilateral is ...

  w +(x +15) +(2x -10) +(3x -24) = 360

  w +(51 +15) +(2(51) -10) +(3(51) -24) = 360

  w +66 +92 +129 = 360

  w = 360 -287 = 73

Angle W is 73°.

_____

Additional comment

The remaining angles are supplementary to those inside the quadrilateral:

  v = 180° -w = 107°

  y = 180° -92° = 88°

  z = 180° -66° = 114°

  x = 51°

[tex]\text{Given that,}\\\\~~~1+ \ln (3xy) = e^{3x-y}\\\\\\\implies \dfrac d{dx} \left[1 + \ln (3xy) \right] = \dfrac{d}{dx} \left(e^{3x-y} \right)\\\\\\\implies \dfrac{1}{3xy} \cdot 3 \dfrac{d}{dx}(xy) = e^{3x-y} \cdot \left(3 - \dfrac{dy}{dx} \right)\\ \\\\\implies \dfrac 1{xy} \left( x \dfrac{dy}{dx} + y \right)= e^{3x-y} \cdot \left(3 - \dfrac{dy}{dx} \right)\\\\\\\implies \dfrac 1y \dfrac{dy}{dx} + \dfrac 1x = 3e^{3x-y}- e^{3x -y} \dfrac{dy}{dx}[/tex]

[tex]\implies \dfrac 1y \dfrac{dy}{dx} + e^{3x-y} \dfrac{dy}{dx} = 3e^{3x-y} - \dfrac 1x\\\\\\\implies \left( \dfrac 1y+ e^{3x-y} \right)\dfrac{dy}{dx} = 3e^{3x-y} - \dfrac 1x\\\\\\\implies \dfrac{dy}{dx}=\dfrac{3 e^{3x-y} -\dfrac 1x}{\dfrac 1y+ e^{3x-y} }\\\\\text{At point}~ (x,y) = (1/3, 1), \text{slope of the tangent line,}\\\\m=\dfrac{dy}{dx} = 0\\\\\text{Hence the equation of tangent line,}\\\\~~~y-1 =0\\\\\implies y=1[/tex]

Answer:

2.08 %

Step-by-step explanation:

(36.75 - 36.00) / 36.00 = .0208  = 2.08 %

Using the z-distribution, it is found that the 90% confidence interval estimate is given by (0.0373, 0.0627).

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

In this problem, we have a 90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.

The sample size and the estimate are given, respectively, by [tex]n = 800, \pi = 0.05[/tex].

Hence, the bounds of the interval are given by:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.05 - 1.645\sqrt{\frac{0.05(0.95)}{800}} = 0.0373[/tex]

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.05 + 1.645\sqrt{\frac{0.05(0.95)}{800}} = 0.0627[/tex]

The 90% confidence interval estimate is given by (0.0373, 0.0627).

More can be learned about the z-distribution at https://brainly.com/question/25890103

Answer:

1/12

Step-by-step explanation:

so we know the total you have is a 12 dice cube yes? yes.

there fore you denomanator is the the total of everything-12.

there's only 1 #2 on the 12 sided dice this cause you to get 1/12

Answer:

21.6666666667

If you have to round it up it is 22.

Step-by-step explanation:

If he runs 5 times a week and his route is 4 1/3 then he runs that five times a week you do 5x4 1/3 and that is how you get your answer

Answer:

-64

Step-by-step explanation:

-4x-4x-4

Answer:

[tex]\sf \text{The numbers are $\dfrac{-14}{3} $ and $\dfrac{-7}{3}$}[/tex]

Step-by-step explanation:

Let the numbers be x , y

Sum of two numers = -7

x + y = -7------------(I)

Two times the first number equals 4 the second number.

2x = 4y  ----------(II)

Divide both sides by 2

       [tex]\sf \dfrac{2x}{2}=\dfrac{4y}{2}[/tex]

        x = 2y

Subtitute x = 2y in equation (I)

2y + y = -7

      3y = -7

       y = -7/3

Plugin y = -7/3 in equation (II)

[tex]\sf 2x = 4*\dfrac{-7}{3}\\\\2x = \dfrac{-28}{3}\\\\x =\dfrac{-28}{3*2}\\\\x = \dfrac{-14}{3}[/tex]

Using it's concept, it is found that due to the lowest Mean Absolute Deviation, his scores were closest together in Math.

Of the four classes, Math was the lower MAD, hence it has the scores that are closest together.

More can be learned about the Mean Absolute Deviation at https://brainly.com/question/3250070

Lets see

Answer:

thanks just needed points

Step-by-step explanation:

Answer:

72.8

Step-by-step explanation:

Here,

8x + y = 23 - 10x - y = - 27

10(8x + y) = 23 × 10 8 (- 10x - y) = - 27 × 8

80x + 10y = 230 ---> (i) - 80x - 8y = - 216 ----> (ii)

(80x + 10y) - (-80x - 8y) = 230 - (-216)

=> 80x + 10y + 80x + 8y = 230 + 216

=> 10y + 8y = 446

=> 18y = 446

=> y = 446/18

=> y = 24.7

80x + 10y = 230

=> 80x + 10 × 24.7 = 230

=> 80x + 247 = 230

=> 80x = 230 - 247

=> 80x = -17

=> x = -17/80

=> x = - 0.21

x = -0.21 and y = 24.7

Answer:

Your answer would be (36,72)

Step-by-step explanation:

B. box and whisker plot

A boxplot—sometimes called a box and whisker plot—is a dense display that aims to provide lots of context for any given dataset. The chart visually represents several summary metrics in a single view: minimum: the smallest value maximum: the largest value

In the research, the distribution is described by its shape. If there are more higher values than lower values, the distribution is skewed left.

It should be noted that when the distribution of data is skewed to the left, the mean is less than the median.

The distribution can be described by its center. If the distribution is skewed left or right, the median is an accurate measure of center.

The distribution can be described by its spread. If the data set does not have an outlier, the interquartile range is an accurate measure of spread.

Learn more about research on:

https://brainly.com/question/25257347

Answer:

left, median, and range or the IQR

Step-by-step explanation:

QUESTION 1

the solution is (-1,-5)

To verify the solution algebraically, we need to multiply the first equation with -1 and then sum them up

-y=5

y=3x-2

0=3x+3

3x=-3

x=-3/3

x=-1

Then, we use this value to find the other one

y=3x-2

y=3(-1)-2

y=-3-2

y=-5

Therefore, the solution is (-1,-5), which is the same showed graphically.

QUESTION 2.

Using the same process as we did in the QUESTION 1. The image attached shows both lines and the interception point which is the solution. So, the solution is (6,0).

To verify the solution algebraically, we must multiply the second equation by -6

x+6y=6

-6y=-2x+12

x=-2x+18

x+2x=18

x=18/3

x=6

Then, we use this value to find the other one

x+6y=6

6+6y=6

6y=6-6

y=0/6

y=6

Therefore, the solution is (6,0),

Answer:

1/3 or 33.3333...%

Step-by-step explanation:

My understanding of this situation is that each dial represents a number in the combination. In order for the combination to start with 8, the first dial needs to land on 8. Since there are three numbers on the dial, the probability that the combination starts with 8 is 1/3. Hope I helped :)

The minimum amount of wrapping paper, in square inches, needed to cover the gift shown in the figure is 614 square inches.

The total surface area of the rectangular prism is the space occupied by each of the face of it. It is the sum of area of all the faces of prism.

Total surface area of the rectangular prism is calculated with the following formula.

[tex]A=2(lb+bh+lh)[/tex]

Here, (b) is the breath of the base (l) is the length and (h) is the height of the rectangular prism.

The minimum amount of wrapping paper required to cover the gift is equal to the surface area of the figure.

The figure is made with different sides, The area of all the sides is equal to the surface area of the figure. The surface area of it is,

[tex]A=2(5\times8)+(15\times8)+(15\times10)+2(\dfrac{1}{2}3\times8)+(15\times5)+(15\times11)\\A=614\rm\;in^2[/tex]

Thus, the minimum amount of wrapping paper, in square inches, needed to cover the gift shown in the figure is 614 square inches.

Learn more about the total surface area of a rectangular prism here;

https://brainly.com/question/15456870

#SPJ1

Answer:

c = 3 + 2m

Step-by-step explanation:

Let c = total cost of call (in dollars)

Let m = number of minutes

Given:

⇒ c = 3 + 2m

Answer:

$ 28.50

Step-by-step explanation:

6 hoods + 23 = 194

6 hoods = 171

hood = $ 28 . 50

Answer:

Acute triangle

Step-by-step explanation:

Answer:

[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

See picture below for explanation:

Step-by-step explanation:

RT^2=RS^2+ST^2

RT^2=16+9=25

RT=√25=5

The answer is 5