To show that the triangles are congruent, triangle ABC could be transformed by which movement(s) to fit exactly on triangle XYZY
a rotation of 180° clockwise about the origin followed by a dilation of 1.2 with the center of dilation at the origin
a rotation of 90° clockwise about the origin followed by translations down 1 unit and left 10 units
a rotation of 270° clockwise about the origin followed by translations left 1 unit and up 10 units
a reflection over the x-axis followed by a reflection over the y-axis

Answer:

The 99% confidence interval is  [tex] 403.33 <  \mu < 462.67 [/tex]  

Step-by-step explanation:

From the question we are told that

  The sample size is  n  =  100

   The sample mean is  [tex]\= x = 433[/tex]

    The standard deviation is [tex]\sigma = 115[/tex]

From the question we are told the confidence level is  99% , hence the level of significance is    

      [tex]\alpha = (100 - 99 ) \%[/tex]

=>   [tex]\alpha = 0.01[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  2.58[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>   [tex]E = 2.58 *  \frac{115 }{\sqrt{100} }[/tex]

=>   [tex]E = 29.67 [/tex]

Generally 99% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=>    [tex]433 -29.67 <  \mu < 433 + 29.67[/tex]    

=>    [tex] 403.33 <  \mu < 462.67 [/tex]  

Answer:

solve 1/3 (k - 9) = 1/3 k + 1/3 for k = (no solutions exist)

Step-by-step explanation:

Answer:

Brand A ($2) is more expensive than Brand B ($1.50)  (see below)

Step-by-step explanation:

First, you will have to find the slopes of both lines. Slope is y/x, which is the cost/meter or cost per meter.

Using the slope formula:

          y2 — y1

m  =   ---------------

           x2 — x1

Plug in any two points from both lines:

          y2 — y1

m  =   ---------------  = graph 1 (0, 0), (1,2)

           x2 — x1

            2 — 0

m  =   ---------------

             1 — 0

                2

m  =   ---------------  = $2/m

                1

_______graph 2_______

          y2 — y1

m  =   ---------------  = graph 2 (0, 0), (4, 6)

           x2 — x1

            6 — 0

m  =   ---------------

            4 — 0

                6                  3

m  =   ---------------  = -----------  = $3/2 m

                4                  2

Because you are unable to have an exact cost per meter of Brand B, you can use a ratio:

$3  =  $x

2m =  1m

Cross multiply:

3 (1) = 2x

3 = 2x

x = (3 ÷ 2)

x = 1.5

So Brand B is $1.50 per meter while Brand A is $2.00 per meter. Brand B is cheaper.

Answer:

67/1000

Step-by-step explanation:

How to translate 0.067 to a fraction:

So you can there is the tenths place (which is considered 0 on the decimal behind the point.) The hundredths place (where the 6 is placed), and the thousandths place (where the 7 is placed.)

Since the 7 is placed at the thousandths place, that means the denominator would be 1000. The number behind the point is .067.

So the fraction would be this:

67/1000

(Also it's at it's simplest form.)

Answer: -8x + 12

Step-by-step explanation:

12 will be y-intercept because it crosses the y-axis.

-8 will be slope because it is the rate of change.

Answer:

465 to 525

Step-by-step explanation:

60 difference

Answer:

6-(9-2)+3x6

Step-by-step explanation:

hope it helps

The position of z3 is (d) quadrant IV

The given parameters are:

[tex]\mathbf{z_1 = (4,-3)}[/tex]

[tex]\mathbf{z_2 = (-3,2)}[/tex]

The expression for z3 is given as:

[tex]\mathbf{z_3 = z_1 -z_2}[/tex]

So, we have:

[tex]\mathbf{z_3 = (4,-3) - (-3,2)}[/tex]

This gives

[tex]\mathbf{z_3 = (4 + 3,-3 - 2)}[/tex]

[tex]\mathbf{z_3 = (7,-5)}[/tex]

When the x-coordinate is positive, and the y-coordinate is negative, the point is in the fourth quadrant.

Hence, the position of z3 is (d) quadrant IV

Read more about quadrants at:

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Answer:

word problems are pretty tricky

Step-by-step explanation:

y= punch

2*y > 4  Liters

y >2 Liters

Answer:2y>4

Step-by-step explanation:

Two times the amount of punch needed =2y. Because this amount must be greater than 4 liters, the inequality is given by 2y>4

Answer: x = 7/2

Step-by-step explanation: u juss simplify 1/2 x 7 to 7/2 so x = 7/2

The value of x in logarithmic equation [tex]log_{10}x(\frac{9}{63} )=\frac{1}{2}[/tex] is [tex]1000\sqrt{10}[/tex].

"A logarithmic equation is an equation that involves the logarithm of an expression containing a variable."

Given logarithmic equation

[tex]log_{10}x(\frac{9}{63} )=\frac{1}{2}[/tex]

⇒ [tex]log_{10}x(\frac{1}{7} )=\frac{1}{2}[/tex]

⇒ [tex]log_{10}x=\frac{1}{2}({7} )[/tex]

⇒ [tex]log_{10}x=\frac{7}{2}[/tex]

⇒ [tex]x = 10^{\frac{7}{2} }[/tex]

⇒ [tex]x = 10^{3+\frac{1}{2} }[/tex]

⇒ [tex]x = 10^{3}[/tex] × [tex]10^{\frac{1}{2} }[/tex]

⇒ [tex]x = 1000\sqrt{10}[/tex]

The value of  [tex]x = 1000\sqrt{10}[/tex]

Hence, the value of x in logarithmic equation [tex]log_{10}x(\frac{9}{63} )=\frac{1}{2}[/tex] is [tex]1000\sqrt{10}[/tex].

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Answer:

9 by adding all the three cards

Answer:

i think it is (0,-2). y=mx+b

(-1,-9) and (0, -2) lie on the graph of 7x - y = 2.

A graph in two dimension is the set of points which relates two variables according to a give equation in two variables.

Given,

7x - y = 2

Therefore, the points which satisfy this equation lie on the graph of the equation.

In case of (-1,-9)

7(-1) - (-9) = 2

-7 + 9 = 2

Which is true.

Similarly for (0,-2)

7(0) - (-2) = 2

0 + 2 = 2

Which is true.

Hence, (-1,-9) and (0, -2) lie on the graph of 7x - y = 2.

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Answer:

A is the answer

Step-by-step explanation:

According to BODMAS (or DMAS), first we add and then subtract

if both operations are of add, we add it at the same time

Answer:

= 3/4

Step-by-step explanation:

Find 2 points on the graph

(2,3) and (6,6)

Using the slope formula

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

   = ( 6-3)/(6-2)

   = 3/4

Answer:

The length is four less than three times the width.

x = 5 cm.

The width of rectangle is 5 cm.

Thus the length of rectangle 3x - 4 = 3 × 5 - 4 = 15 - 4 = 11 cm

Step-by-step explanation:

HOPE IT HELPS

The experiment is messed up. Business and rental drivers are usually much more careful in their driving patterns because the car isn't theirs. They are usually adults, experienced drivers who don't put themselves into risky driving situations. =  Speeding, cutting off others etc.. It also didn't tell how  much the cars were driven. There may have been a down turn in the economy and thus less business driving and same with the rentals. If they were used less after the installation then the study wasn't really valid. What was the price of gas before and after the instillation. Who did the study? Did the  previous testers have any reason to skew the study? Did they own stock in the third light business?  Was it the same people who did the study before who did the study afterwords? What was the average age of the drivers before and after? The study group may have aged and calmed down a bit more? What were the technology changes that occurred about the same time? Anti skid brakes, better material and tread designs for the tires, what about the design of the gages and their lighting.  How about the window styles and size..larger windows mean better view and potentially less accidents. What were the safety aspects of the cars before compared to the cars after, were they the same makes and Models or did the rental and business learn that certain cars were safer than others and move to the safer Models? so many variables to consider but did the tester consider them all-probably not. Random studies study only a certain percentage of the total. Who's to say the second random study didn't get less experienced drivers to study? All good what ifs'.

Answer:

355.923 cubic feet per month

Step-by-step explanation:

Units Conversions

We need to convert from pints/day to cubic feet/month. Two basic conversions are needed:

1 US pint = 0.0167101 cubic foot

1 month = 30 days (average)

710 pints are equivalent to 710 * 0.0167101 = 11.8641 cubic feet

That volume corresponds to a daily flow. For a monthly flow, multiply by 30:

355.923 cubic feet per month

Answer:

n = 37/4

Step-by-step explanation:

that's the answer to you question

Answer:

Quadratic equations are actually used in everyday life, as when calculating areas, determining a product's profit or formulating the speed of an object. Quadratic equations refer to equations with at least one squared variable, with the most standard form being ax² + bx + c = 0.

Step-by-step explanation:

Answer: B

Step-by-step explanation: 3x3=9 1x9 equals 9 if a number has 2 or more sets, it's a composite number. It would not become prime because 9 does not have 1 set.

Answer:

Step-by-step explanation:

b

Answer:

1/15 kg

Step-by-step explanation:

Divide by 5 can be written as multiply by 1/5

1/3 * 1/5 = 1/15

Answer:

14 months

Step-by-step explanation:

400 dollars to purchase tv

50 dollars down already in renting television

400-50=350 dollars

350 dollars/ 25 dollars each month for television=14 months

1 year 2 months

Hope this helps!

The number of months will the cost to rent the television equal the cost to purchase it is 1 year 2 months.

Given that, a television costs=$400. Renting the same television requires making a $50 non-refundable deposit plus monthly payments of $25.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Now, 400 dollars to purchase a television.

50 dollars down already in renting television

400-50=350 dollars

Number of months=350/25 =14 months

Therefore, the number of months will the cost to rent the television equal the cost to purchase it is 1 year 2 months.

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Answer:

78 x 10^9

Step-by-step explanation:

Hope this helps!

Answer:

7.8 x

Step-by-step explanation:

Scientific notations are being used to write very large or very small numbers. In line with this, the other details regarding 78 million in scientific notation are indicated above.

Answer:

Mr watts needs 7 weeks

Step-by-step explanation:

The average expense per presentation =  $20,000

Since Mr. Watts can give about 7 presentations per week, hence the average expense per presentation for a week = $20000 × 7 = $140000

Also the  cost of meals, motels, jet travel, and support  personnel total $60,000 per week. Hence the total cost per week is:

Total cost = $140000 + $60000 = $200000

The revenue gotten is $40 per person and can take 1000 people per each presentation. Hence:

Revenue per week = $40 per person × 1000 people × 7 days = $280000

Let assume the number of weeks needed to earn $560000 be x. Hence:

280000x - 200000x = 560000

80000x = 560000

x = 7

Answer:

I (kenny) would be irritated and annoyed that my brother continually treats me unwell and goes without punishment or chastisement. It is all By's fault that the brothers have to visit Grandma Sands. However, even though I would be annoyed by his attitude and actions, I would still love him as a brother because unlike the rest of the world, I know he has a soft side and isn't as horrible as he seems. I might feel unseen or ignored due to the radical and rebellious behavior my brother exhibits. Throughout the book the boys get closer and both are shown to be more than the cliche mean older brother/ bullied little brother. In the book, multiple circumstances bring out qualities in both of the boys that make them more relatable and likeable in general.

Answer:

option D , <a +<c = 180

Step-by-step explanation:

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