Which parts must be congruent to prove APQR = APSR by SAS?

Answer:

The equation of the line in slope-intercept form is:

y = x + 4

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

Given the points on the line graph

Determining the slope between (0, 4) and (1, 5)

(x₁, y₁) = (0, 4)

(x₂, y₂) = (1, 5)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

                =  [5 - 4] / [1 - 0]

                = 1 / 1  

               = 1

Thus, the slope of the line = m = 1

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 4

Thus, the y-intercept b = 4

now substituting b = 4 and m = 1 in the slope-intercept form

y = mx + b

y = (1)x + 4

y = x + 4

Therefore, the the equation of the line in slope-intercept form is:

y = x + 4

Answer:

7

Step-by-step explanation:

the line crosses the 7 on the y axis

i hope this is correct

Answer:

    The career planning process is ongoing and sequential. Since it is fluid rather than chronological, you move to the next step only when you are ready to do so, and you may move back and forth between steps at any given time. The career planning process is also cyclic. When career change is desired anytime during your work life, you may repeat the process once again. Data from the U.S. Bureau of Labor Statistics indicates that the majority of members of the labor force will make three to four major changes in their career during their 35 to 45 years of working. Because human beings are complex, each of us has unique aspirations, goals, potential for development, and limitations. Although we can follow the same process, career planning outcomes must be individualized.

Step-by-step explanation:

Answer:

the product of 3 and 8? is 24

Answer:

24

Step-by-step explanation:

8+8=16

16+8=24

Answer:

y = 15

Step-by-step explanation:

Subtract 3 from 18

18 - 3 = 15

Answer: 39

Step-by-step explanation:

6% = .06 so .06 multiplied by 583 is 38.98 rounded is 39

Answer:

1.08

Step-by-step explanation:

9/12 =.75

4/12-.3333

.75+.3333=1.08

Answer:

13/12 or 1.083333333  3 repeating

Step-by-step explanation:

just put them side to side and add across

Answer: 136  17/36

Step-by-step explanation:

Answer:

1288

Step-by-step explanation:

S = n/2(2a+(n-1)d)

S = 23/2(2(23)+(23-1)3)

S = 1288

450/9 = 750/x

750 x 9 = 6,750

6,750/450 = 15

It would take them 15 hours to drive 750 miles.

Answer:

15

Step-by-step explanation:

Vanessa's family drove 450 in 9 hours

To find how many miles per hour

450/9 = 50

750/50 = 15

50 x 15 = 750

Answer is 15

Answer:x = 1/2

Step-by-step explanation:

4x-20=-18

(Add 20 on both sides)

4x=2

(Divide by 4 on both sides)

X = 2/4

(Simplify)

X=1/2

Answer:

1/2

Step-by-step explanation:

20 times 1/2 = 10

10-2 = 8

Answer:

2

3

4

5

6

7

RESULT

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01:32

Step-by-step explanation:

Answer:

The midline is y=-1

Amplitude = 3

The period is 2 units

Step-by-step explanation:

Sinusoidal Function

It refers to a mathematical curve with a smooth and periodic oscillation. Its name comes from the sine function but it can be a cosine function too. They only differ by the phase angle of 90 degrees or π/2 radians.

The amplitude is half the distance from the maximum and the minimum points. The graph shows a sinusoid with a maximum value of y=2 and a minimum value of y=-4.

The amplitude is:

[tex]A=\frac{2+4}{2}=3[/tex]

Amplitude = 3

The midline is the distance from the center of the sinusoid to the x-axis. It's also called the vertical shift.

The midline can be found by subtracting the amplitude A=3 to the maximum value M=2:

ML = 2 - 3 = -1

It can also be found by adding the amplitude to the minimum value:

ML = -4 + 3 = -1

The midline is y=-1

The period is the time the wave takes to complete a full cycle. We only have to focus at any point on the wave (xo,yo) and find the next value of x where the sinusoid has the very same behavior (x1,y1). The period is then x1-x0.

We find at x=0, y=-1 and it's moving up. At x=1 it has the same value but it goes down, so the wave is at its half cycle. At x=2 it repeats the same behavior as for x=0. Thus:

The period is 2 units

Answer:

The capacity of bucket is 16 liters

Step-by-step explanation:

Let j be the quantity of water in the jug

Then

[tex]j = 800ml[/tex]

Let B be the quantity of water held by the bucket

Then t is given that the bucket holds 20 times of water than the jug

[tex]B = 20j[/tex]

Putting the value of j

[tex]B = 800(20) = 16000[/tex]

We also know that

1 liter = 1000 ml

In order to convert ml into liters, we have to divide the quantity by 1000

[tex]B = \frac{16000}{1000} = 16\ liters[/tex]

Hence,

The capacity of bucket is 16 liters

Answer:

a. a reflection only

c. a rotation and a reflection

d. a translation and a reflection

Step-by-step explanation:

just took the test

Answer:

look at the screen shot :)

Step-by-step explanation:

Answer:

Carey

Step-by-step explanation:

Nicole's speed is 6 feet per second.

Carey's speed is 7 feet per second.

Answer:

Step-by-step explanation:

4. D- Nachos are .11 cents an ounce which is the cheapest from all the other options. do this by dividing the money amount by the ounces!

5. B- Al's tomates (.90/6) is .15 cents, Barbra (1.54/11) is .14 cents, so Barbs has a better price

6. C- 1 hour (60 minutes) divided by 12, the minutes we read = 5. Next we multiple 5x5.5(the pages she reads in 12 minutes) and we get 27 1/2!

hope i helped!

Answer:

A sample of 796 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

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

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

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

In this question, we have that:

[tex]\pi = 0.53[/tex]

91% confidence level

So [tex]\alpha = 0.09[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.09}{2} = 0.955[/tex], so [tex]Z = 1.695[/tex].

How large should a sample be if the margin of error is .03 for a 91% confidence interval

We need a sample of n, which is found when [tex]M = 0.03[/tex]. So

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

[tex]0.03 = 1.695\sqrt{\frac{0.53*0.47}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.695\sqrt{0.53*0.47}[/tex]

[tex]\sqrt{n} = \frac{1.695\sqrt{0.53*0.47}}{0.03}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.695\sqrt{0.53*0.47}}{0.03})^{2}[/tex]

[tex]n = 795.2[/tex]

Rounding up

A sample of 796 is needed.

Answer:

[tex] \fbox{y = 8/5 } [/tex]

Explanation:

[to solve for y, first use the properties of equality to simplify the equation]

5y + 3 = 8y − 5 + 2y

5y + 3 = (8y + 2y) – 5

[regroup the like terms of y together: commutative property of equality ; adding in a different order will still give you the same result]

5y + 3 = 10y – 5

[combine like terms]

5y + 3 = 10y – 5

[tex] \: \: \: \: \: \: -3 \: \: \: \: \: \: \: \: \: \: \: -3[/tex]

[subtract 3 from both sides in order to eliminate the constant term on the left side: subtraction property of equality]

5y = 10y – 8

–10y –10y

[subtract 10 from both sides in order to eliminate the variable term: subtraction property of equality]

-5y = -8

÷(-5) ÷(-5)

[divide both sides by -5 to cancel out the coefficient of y: division property of equality]

y = 8/5

Answer

= 8/5 hope this is fine

Step-by-step explanation:

AB(x)/DE=BC/EF

AB/25=28/20

20AB=28×25

20AB=700

AB=700/20

AB=35

SO x=35

Answer:

A). Estimate of population 0.61

(b) Margin of error = 0.07 The real population interval estimation is ± 7%.

c). Margin of error = 0.15

d) The real population's interval estimation is ± 15%

e). Yes, the action argument of the group is based on a half-range estimation of the true population. The reason that 62% ± 15% = 47%, or 77%, while 47% is similar to 45%, as the Collective action group states.

Step-by-step explanation:

For the poll of 1000 residents, a newspaper article claims that 62% of the residents is in favor of development of a recreational park has,

The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.

Based on a poll of 1000 residents, a newspaper article claims that 62% of the residents in town favor the development of a recreational park on the west side of town.

This will be equal to the population, which is 0.62.

The margin of error of the population proportion is found using an estimate of the standard deviation.

The sample is 200 and population, is 0.62. Margin of error for z value 1.96 can be found using the following.

[tex]MOE=z\sqrt{\dfrac{p(1-p)}{n}}\\MOE=1.96\sqrt{\dfrac{0.62(1-0.62)}{200}}\\MOE=0.0672[/tex]

This gives the interval estimate of the true population proportion is 6.72%.

The minimum sample proportion from the simulation is 0.46 and the maximum sample proportion is 0.76.

The margin of error of the population proportion using the half the range can be given as,

[tex]MOE=\dfrac{0.76-0.46}{2}\\MOE=0.15[/tex]

The interval estimate of the true population proportion using half the range is 0.15.

A community action group interested in preserving the environment claims that 45% of the town's residents favor the development of a recreational park.

As, the value of confidence interval is greater than 0.45. Thus, the community action group's claim likely based on either interval estimate of the true population proportion.

Hence, for the poll of 1000 residents, a newspaper article claims that 62% of the residents is in favor of development of a recreational park has,

Learn more about the margin of error here;

https://brainly.com/question/10218601