Directions: Write a proof for the following.


Given: Isosceles △ABC with legs AB and AC, BD ⊥DC and CE⊥BE

Prove: BD ≅ CE

Answer:

Step-by-step explanation:

1368126

Answer: your answer is 1,368,126

Step-by-step explanation:

Answer: 18

Step-by-step explanation:

Answer:EMD

Step-by-step explanation:

Answer:

Since there are two points there are two equations that can written.

1. [tex]y-7=-\frac{1}{3} (x+4)[/tex]

2. [tex]y-3=-\frac{1}{3} (x-8)[/tex]

Step-by-step explanation:

Step 1: Point Slope Form

Step 2: Find the slope of the two points

Step 3: Write the equation

Step-by-step explanation:

3 3/8 = 27/8

7 1/4 = 29/4

29/4 X 27/8 = 783/32 = 24 15/32

The solution to the equation by linear combination is (d) (3, 5)

From the question, we have the following system of equations

2x – 3y = – 9

x + 3y = 18

By linear combination, we start by eliminating one of the variables

This is done by adding the equations

So, we have

2x + x -3y + 3y = -9 + 18

Evaluate the like terms

3x = 9

Divide both sides

x = 3

Substitute x = 3 in x + 3y = 18

3 + 3y = 18

So, we have

3y = 15

Divide

y = 5

Hence, the solution is (d) (3, 5)

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Sue is an example of the law for "diminishing marginal utility" if she only buys apples if the price drops because each apple produces less additional satisfaction.

The phenomenon known as diminishing marginal utility describes how each extra unit of gain results in an ever-smaller rise in subjective value.

Thus, Sue is an example of the law for "diminishing marginal utility" if she only buys apples if the price drops because each apple produces less additional satisfaction.

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Answer: a=2, b=3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hailey so many people ask about this type of question.  I've got a cut and paste answer.   I would like to hear from you ,  posted in the comments of this problem.  what's the part of this type of problem that you find complex and difficult.  The math to do this is not hard.  But it is a difficult problem for so many people.  please write in your words what it is that you find difficult.  Thanks  :)

They ask for slope-intercept form of the problem.  this form:  y= mx + b

recall there is also point-slope form   of   y -y1 = m(x -x1)

They give us two points.  

point P1 (15,40)  in the form (x1,y1)

point P2(41,61)  in the form (x2,y2)

Step1:  find the slope

slope = m

m = (y2-y1) / (x2-x1)

m= (61-40) / (41-15)

m = 19 / 26

Step 2: now use the point-slope form to get the slope-intercept form. Any given point will work, I'll use P1

y - y1 = m(x -x1)

y - 40 = [tex]\frac{19}{26}[/tex](X - 15 )

use  your algebra skillz to solve for "Y" ( get "Y" by itself )

y - 40  =   [tex]\frac{19}{26}[/tex]X -  [tex]\frac{19}{26}[/tex]*15

y - 40 = [tex]\frac{19}{26}[/tex]X - [tex]\frac{285}{26}[/tex]

y - 40 =  [tex]\frac{19}{26}[/tex]X - 10[tex]\frac{25}{26}[/tex]

Y =  [tex]\frac{19}{26}[/tex]X - 10[tex]\frac{25}{26}[/tex] + 40

Y =  [tex]\frac{19}{26}[/tex]X + 30[tex]\frac{25}{26}[/tex]    this is in slope-intercept form now  

If the ANOVA test is statistically significant, then we can determine which groups are different by means of the F statistic, which is defined by the ratio of the mean sum square to the average square error (none of the options are correct).

The ANOVA test can be defined as a strategy to assess when differences between two or even more groups and or populations in the same are statistically significant.

Moreover, the F statistic refers to the results of the ANOVA, which is used to show statistically significant differences between groups in the sample.

Therefore, with this data, we can see that the ANOVA test is used to determine when differences between groups in the sample are significant enough to explain a given working hypothesis, and it is associated with the F statistics.

Complete question:

Your ANOVA is statistically significant. How will you determine which groups are different?

Use planned or unplanned comparisons.

Look at what the means in each group are.

Conduct Levene's test.

None of the above

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The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with 115 grams of a radioactive isotope

If we start with 115g of the isotope, after one half-life the quantity will diminish to [tex]\frac{115g}{2} = 57.5[/tex] which is half the original quantity.

This can be written mathematically as: [tex]115g(\frac{1}{2})^{1}[/tex]

After the second half life: [tex]\frac{57.5g}{2} = 28.75 = \frac{115g}{4} = (115g)\frac{1}{2}^{2}[/tex]

After the third half life: [tex]\frac{28.75g}{2} = 14.37g = \frac{115g}{8} = (115g)(\frac{1}{2}) ^{3}[/tex]

But now we can see a pattern developing, because for each new half-life we are dividing the quantity by 2 to a power that increases as the number of half-lives.

Then we can take the original quantity and quickly compute for 6 half-lives:

[tex](115g)(\frac{1}{2})^{6} = (115g)(\frac{1}{64}) = \frac{115g}{64} = 1.79g[/tex]

The time it takes for the isotope to do this will depend on the isotope in question. For some it will be microsecond, and for others it will be years and decades. The isotope will typically decay to become another element or isotope.

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In a function, each input is related to multiple outputs is False.

The function is a type of relation, or rule, that maps one input to a specific single output.

Function of function, as the name suggests, are functions applied over functions themselves. This is also called function composition.

A function can be defined as a relationship between an output value, y, and an input value x; where each input value of x has one and only one output value of y.

This means that each output value of a function can have multiple inputs (for example, quadratic functions have 2 inputs for each output except the vertex), but no input can have multiple outputs.

Therefore, In a function, each input is related to multiple outputs is False.

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The following number in the series is 48.

Arithmetic Progression (AP) is a number sequence in which the difference between any two consecutive numbers is a constant value.

Given first five terms of a sequence are 3,8, 15, 24, 35

On examining the series we see:

3 - 0 = 3

8 - 3 = 5

15 - 8 = 7

24 - 15 = 9

35 - 24 = 11

The increments are an arithmetic progression with the first term being 3 and the difference being 2.

The next term (sixth term) is 13.

Hence the next number of the series 3, 8, 15, 24, and 35 is 35 + 13 = 48

Therefore the next number in the series is 48

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At 4 months of subscription, both plans will cost the same.

A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.

Given, Two subscription services offer deliveries of boxes of nutritious, organic snack foods each month.

Snacks 4 U has 4$ for 3 months and from then $14 a month and Healthy times has 1 month of free subscription and then $10 months.

Assuming no. of months required that two plans will cost the same is x.

∴ 12 + 14x = 10x

4x = 12

x = 3 and + 1 for the free months.

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Not exactly sure what this is but by a glance theyre asking what do you do to days to get the total?

Therefore if you have in the D column 1-5 the process is always multiplying by 250 so 1 day gives 1 * 250 = $250

2 days gives 2*250 = $500

That means the equation must be

T =250D

The probability is that the married couple watches the show is 0.35.

According to the statement

We have to find the probability is that the probability that married couple watches the show is 0.35.

For this purpose, we know that the

Probability is the ratio of the number of outcomes to the total number of possible outcomes.

With the given information

a married man watches a certain television show is 0.4

the probability that a married woman watches the show is 0.5.

the probability that a man watches the show, given that his wife does, is 0.7

Then

Let M be the event that a married man watches a certain T.V.

And N be the event that a married woman watches the show.

The probability become

[tex]P(M)=0.4[/tex]   [tex]P(F)=0.5[/tex]

and the

[tex]P(\frac{M}{F} )=0.7[/tex]

Then

The probability become is the

P(M∩F)=0.7*0.5

And

[tex]P=0.7*0.5[/tex]

[tex]P=3.5[/tex]

So, The probability is that the married couple watches the show is 0.35.

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Question:

The probability that a married man watches a certain TV show is 0.4 and the probability that a married woman watches the show is 0.5. The probability that a man watches the show, given that his wife does, is 0.7. Then

the probability that married couple watches the show.

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Answer:

x=3

Step-by-step explanation:

The equation for perimeter of a rectangle is 2(l)+2(w)

So, 2(x+2)+2(2x-1)=

2x+4+4x-2=20

You then combine like terms

6x+2=20, then subtract 2 from both sides

6x=18, then divide 6 by both sides

x=3

well, we know that the relationship of "n" and "s" is linear, so hmmm let's get their equation first.

to get the equation of any straight line, we simply need two points off of it, let's use those in the picture below.

[tex](\stackrel{x_1}{7}~,~\stackrel{y_1}{68000})\qquad (\stackrel{x_2}{9}~,~\stackrel{y_2}{76000}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{76000}-\stackrel{y1}{68000}}}{\underset{run} {\underset{x_2}{9}-\underset{x_1}{7}}} \implies \cfrac{ 8000 }{ 2 } \implies 4000[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{68000}=\stackrel{m}{ 4000}(x-\stackrel{x_1}{7}) \\\\\\ ~\hfill {\Large \begin{array}{llll} s-68000=4000(n-7) \end{array}} ~\hfill[/tex]

now, when she was hired, well that was when there were no years, namely at year 0, so we can say that's when n = 0

[tex]s-68000=4000(n-7)\implies s-68000=4000(\stackrel{n}{0}-7) \\\\\\ s-68000=4000(-7)\implies s-68000=-28000 \\\\\\ s=-28000+68000\implies {\Large \begin{array}{llll} s=40000 \end{array}}[/tex]

When we are interested in deviations greater than or less than the hypothesized value, we do a two-sided test.

A two-tailed or two-sided test determines whether a sample is greater than or less than a specific range of values by using a two-sided critical area of distribution.

This test tests the null hypothesis. This test determines whether there is a statistically significant difference between the sample and population mean.

This test also determines whether a claim is true or not.

This test differs from a one-tailed test because one-tailed tests permit the potential for a one-directional effect. But the two-tailed tests examine the potential for two-directional (positive and negative directions) effects.

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Answer:

20%

Step-by-step explanation:

19 of 95 can be written as:

19/25

To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100

19/25  x  100/100

= (19 x 100/95) x 1/100 = 20/100

Therefore, the answer is 20%

If you are using a calculator, simply enter 19÷95×100 which will give you 20 as the answer.

Hope this helped!

There will be 5.41667 gallons of water in the bucket after 1 second according to the straight line present in graph.

The line passes through O(0, 0) and A(12, 5).

The slope of the line OA is given by :

Slope, m = ([tex]y_{2} - y_{1}[/tex])/([tex]x_{2} - x_{1}[/tex])

⇒ m = (5 - 0)/(12 - 0)

⇒ m = 5/12

The equation of the line passing through (0, 0) having slope = 5/12 is :

(y - 0) = (5/12)(x - 0)

⇒ y = 5x/12

After 1 second, the time t = 13 sec

Then, on substituting x = 13 in y = 5x/12, we can get the no. of gallons of water :

⇒ y = 5(13)/12 = 65/12 = 5.41667

Hence, after 1 second there will be 5.41667 gallons of water in the bucket.

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The number of masks Elizabeth kept on the wall is 273.

Elizabeth has a mask collection of 420 masks.  She keeps 65 percent of the masks on her wall.

The number of mask she keeps on the wall can be calculated as follows:

Therefore,

number of mask she keeps on the wall = 65 percent of total mask collection

number of mask she keeps on the wall = 65% of 420

number of mask she keeps on the wall = 65 / 100 × 420

number of mask she keeps on the wall = 27300 / 100

Therefore,

number of mask she keeps on the wall = 273

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The 50% of the company will tyreek still own after the investment, according to the given question.

What do you mean by investment pitches?

A brief outline of your business plan that piques the curiosity of potential investors should be included in your investment pitch presentation. Because your product is only one component of your business strategy, it shouldn't only be a pitch for your product.

According to data in the given question,

We have the information:

The total value of Tyreek's company = $200,000

Contributed amount of the four investors = $25,000 * 4 = $100,000

Assume P is the percentage of the company which Tyreek will still own after the investment.

[tex]P=\frac{Total amount contributed by the four investors }{Value of Tyreek's company} \\P=\frac{100,000}{200,000}\\ P=0.5 or 50%[/tex]

Therefore, the 50% of the company will tyreek still own after the investment, according to the given question.

The 50% of the company will tyreek still own after the investment, according to the given question.

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Answer: 54 copies

Step-by-step explanation:

12 copies for $6

1 copy for $0.5

x copies for $27

27/0.5 = 54

1(54) = 54 copies

Matthew' curtain company will need 222 feet to make 74 curtains.

We will first convert the curtain length to feet. As per the known fact, 1 inch = 1/12 feet

So, 36 inch = 3 feet

Hence, each curtain will be of 3 feet length and hence requires 3 feet fabric.

So, the total amount of fabric required based on the need = 74 × 3

Performing multiplication on Right Hand Side of the equation

The total amount of fabric needed to make 74 curtains = 222 feet

Hence, the company will need 222 feet fabric to make 74 curtains.

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The evaluation of the fraction, [tex]\dfrac{x^3-5\cdot x^2+ 2\cdot x-6}{x - 1}[/tex], using the long division method is the option;

The expression can be presented as follows;

[tex]\dfrac{x^3-5\cdot x^2+ 2\cdot x-6}{x - 1}[/tex]

The numerator x³ - 5·x² + 2·x - 6  does not have (x - 1) as a factor
However, dividing x³ - 5·x² + 2·x - 6 by (x - 1), gives;

        x² - 4·x -2

(x - 1)|x³ - 5·x² + 2·x - 6

  [tex]{}[/tex]      x³ - x²

[tex]{}[/tex]             -4·x² + 2·x - 6

[tex]{}[/tex]             -4·x² + 4·x

[tex]{}[/tex]                        -2·x - 6

[tex]{}[/tex]                      -2·x  + 2

[tex]{}[/tex]                                 -8

The quotient from the division is x² -4·x  -2, the remainder is -8, therefore, the result from the division x³ - 5·x² + 2·x - 6 by (x - 1) is the option;

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For a Regression Analysis that the value of R is 0.42, the value of the Coefficient of Non-Determination is 0.8236.

Coefficient of non-determination is the variation recorded in the dependent variable which is not counted by the changes in the explanatory variable. This is calculated by subtracting Coefficient of Determination from 1.

Coefficient of Non-Determination explains the amount of unexplained, or unaccounted for, variance among two variables, or among a set of variables (predictors) in an outcome variable.

The formula for the Coefficient of Non-Determination is 1 – R².

So, in this case:

1 – R²

= 1 – (0.42)²

= 1 – 0.1764

= 0.8236

Hence, the value of the Coefficient of Non-Determination is 0.8236.

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The lines p and q are perpendicular lines.

According to the question,

We have the following information:

Line p passes through points (18, 11) and (-17, 22). Line q passes through points (2, 37) and (-9, 72).

We will find the slope of both the lines to check whether they are perpendicular or parallel. If their slope is equal then they are parallel and if their slope is not equal or inverse of the other one then they are perpendicular.

(Slope is denoted by m.)

m = (y2-y1)/(x2-x1)

For line p:

x1 = 18, y1 = 11, x2 = -17 and y2 = 22

m = (22-11)/(-17-18)

m = -11/35

For line q:

x1 = 2, y1 = 37, x2 = -9 and y2 = 72

m = (72-37)/(-9-2)

m = -35/11

Now, the slope is inverse.

Hence, the lines p and q are perpendicular lines.

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Main answer:

She bought 5 coach tickets and 6 first class tickets.

Step-by-step explanation:

Given:

Total tickets = 11

Let's First class tickets =f, Coach tickets = c.

Total tickets = f + c

     f + c = 11  

⇒  f = 11 - c  →   equation 1

Cost she used to purchase coach tickets = $260

Cost she used to purchase First class tickets = $1130

Total budget for airfare = $8080

260c + 1130f = 8080  →  equation 2

Substitute equation 1 in equation 2;

260c + 1130(11-c) = 8080

260c + 12430 - 1130c = 8080

12430 - 8080 = 1130c- 260c

870c = 4350

c = 5 peoples

Now, Substitute c in equation 1;

f + c = 11

f = 11 - 5

f = 6 peoples

Hence, She bought 5 coach tickets and 6 first class tickets.

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