Are these triangles similar? If yes, write a similarity statement.
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9514 1404 393

Answer:

  (x +6)^2 +(y -10)^2 = 225

Step-by-step explanation:

The standard form equation for a circle is ...

  (x -h)^2 + (y -k)^2 = r^2

where the center is (h, k) and the radius is r.

The center of a circle is the midpoint of any diameter. The midpoint between two points is the average of their coordinates.

  ((-15, -2) +(3, 22))/2 = (-15+3, -2+22)/2 = (-6, 10)

The radius can be found using the distance formula, or by simply putting one of the given points in the equation for the circle to see what the constant (r^2) needs to be.

  (x -(-6))^2 +(y -10)^2 = (-15-(-6))^2 +(-2-10)^2

  (x +6)^2 +(y -10)^2 = 81 +144 = 225

The equation of the circle is ...

  (x +6)^2 +(y -10)^2 = 225

Answer:

Trinomial

Step-by-step explanation:

Traditionally, an expression consisting of 3 terms is called a Trinomial. For example : 3x + 4y -z, 5xy + 4yz + 4 ,a + b –c. And an expression consisting of more than 3 terms is called Polynomial.

hope this helps:)

Answer:  An algebraic expression that contains three terms is called trinomial

Hope this helps!

Answer:

Lesser x = -9

Greater x = 9

Step-by-step explanation:

Answer:

[tex]P(x^{2} \geq 10.65) = 0.03\\[/tex]

Step-by-step explanation:

Since there are 5 categories, there are 5−1=4 degrees of freedom. The probability of obtaining a chi-square test statistic greater than or equal to 10.65 with 4 degrees of freedom is approximately 0.03, as found using technology.

Answer:

a-1. The predicted price of a house with ocean views and square footage of 2,000 is $411,500.00.

a-2. The predicted price of a house with ocean views and square footage of 3,000 is $531,500.00.

b-1. The predicted price (in $1,000s) of a house without ocean views and square footage of 2,000 is $358,900.

b-2. The predicted price of a house without ocean views and square footage of 3,000 is $478,900.00.

c. The correct option is An ocean view increases the value of a house by approximately $52,600.

Step-by-step explanation:

Given:

yˆ = 118.90 + 0.12x + 52.60d ………………. (1)

a-1. Compute the predicted price (in $1,000s) of a house with ocean views and square footage of 2,000. (Round intermediate calculations to at least 4 decimal places. Round your answer to 2 decimal places.)

This implies that we have:

x = 2,000

d = 1

Substituting the values into equation (1), we have:

yˆ = 118.90 + (0.12 * 2000) + (52.60 * 1) = 411.50

Since the predicted price is in $1,000s, we have:

yˆ = 411.50 * $1000

yˆ = $411,500.00

Therefore, the predicted price of a house with ocean views and square footage of 2,000 is $411,500.00.

a-2. Compute the predicted price (in $1,000s) of a house with ocean views and square footage of 3,000. (Round intermediate calculations to at least 4 decimal places. Round your answer to 2 decimal places.)

This implies that we have:

x = 3,000

d = 1

Substituting the values into equation (1), we have:

yˆ = 118.90 + (0.12 * 3,000) + (52.60 * 1) = 531.50

Since the predicted price is in $1,000s, we have:

yˆ = 531.50 * $1000

yˆ = $531,500.00

Therefore, the predicted price of a house with ocean views and square footage of 3,000 is $531,500.00.

b-1. Compute the predicted price (in $1,000s) of a house without ocean views and square footage of 2,000. (Round intermediate calculations to at least 4 decimal places. Round your answer to 2 decimal places.)

This implies that we have:

x = 2,000

d = 0

Substituting the values into equation (1), we have:

yˆ = 118.90 + (0.12 * 2000) + (52.60 * 0) = 358.90

Since the predicted price is in $1,000s, we have:

yˆ = 358.90 * $1000

yˆ = $358,900.00

Therefore, the predicted price of a house without ocean views and square footage of 2,000 is $358,900.00.

b-2. Compute the predicted price (in $1,000s) of a house without ocean views and square footage of 3,000. (Round intermediate calculations to at least 4 decimal places. Round your answer to 2 decimal places.)

This implies that we have:

x = 3,000

d = 0

Substituting the values into equation (1), we have:

yˆ = 118.90 + (0.12 * 3,000) + (52.60 * 0) = 478.90

Since the predicted price is in $1,000s, we have:

yˆ = 478.90 * $1000

yˆ = $478,900.00

Therefore, the predicted price of a house without ocean views and square footage of 3,000 is $478,900.00.

c. Discuss the impact of ocean views on the house price.

Since the coefficient of d in equation (1) is 52.60 and positive, and the predicted price is in $1,000s; the correct option is An ocean view increases the value of a house by approximately $52,600.

Answer:

50.27

452.39

0.79

Step-by-step explanation:

A=πr2=π·42≈50.26548

A=πr2=π·122≈452.38934

A=πr2=π·0.52≈0.7854

Answer:

Option C

Step-by-step explanation:

The two triangles will be similar if the ratio of their corresponding sides are proportional. Let's check this ,

1st side :-

= 8:3

2nd side :-

= 10 : 4 = 5:2

3rd side :-

= 6:5 .

Since the ratio of the sides of triangle are not same therefore that 2 triangles are not similar .

Option C is correct .

Answer:

3x²+4

Step-by-step explanation:

To find the derivative of something with respect to x, for each term multiply the power on the x in that term by the coefficient in the same term, and then lower the x's power by one.

For example, if we had to find the derivative of 2x³, we would first multiply the power on the x (3) by the coefficient (2): 6x³. Then lower the x's power by one: 6x². So the derivative of 2x³ is 6x².

To find the derivative an expression with several terms added together, you just do the same for each terms.

d(x³+4x)/dx

= [tex]\frac{d}{dx}[/tex] x³+4x

= 3x²+4

Answer:

The conclusion, since the null hypothesis was not rejected, is that the proportion of readers of the newsletter who own a Rolls Royce is significantly close to 0.6.

Step-by-step explanation:

A newsletter publisher believes that 60`% of their readers own a Rolls Royce.

This means that the null hypothesis is: [tex]H_{0}: p = 0.6[/tex]

That is, that the proportion of their readers who own a Rolls Royce is of 0.6.

A testing firm believes this is inaccurate and performs a test to dispute the publisher's claim.

The alternate hypothesis is: [tex]H_{a}: p \neq 0.6[/tex]

After performing a test at the 0.020.02 level of significance, the testing firm fails to reject the null hypothesis. What is the conclusion regarding the publisher's claim?

The conclusion, since the null hypothesis was not rejected, is that the proportion of readers of the newsletter who own a Rolls Royce is significantly close to 0.6.

Answer:

4a) 4 1/6

4b) 2

5a)  36.424

5b) 5.4

Step-by-step explanation:

When multiplying or dividing by mixed numbers, convert them into improper and just do it from left to right for each numerator and denominator

Answer:

Laura has been adding $50 to her savings every month which means the equation would be 200 + 50 for each month that she has been adding  to her saving account, Laura has been putting money in her saving for nine months since each month shes adding $50, The similiarties are that they both opened an account with $200 but the differences is that Laura has been adding $50 and Lauras brother has been adding a different amount as Laura.

Step-by-step explanation:

Answer:

The answer is 15.24in.2

Step-by-step explanation:

I did the math and multiplied random numbers between 15 and 15.50 and eventually I got 239.425 by multiplying 15.24 with 3.14 and 2. The correct answer is actually 15.25 but on the test I guess they rounded it. Plz give brainliest.

Answer:

18/25

Step-by-step explanation:

2/100: left alone. You can reduce the answer later.

7/10: Multiply numerator and denominator by 10

7*10 = 70

10*10 = 100

Result: 70/100

Now add

2/100 + 70/100 = 72/100

Now reduce. Top and bottom can be divided by 4

72/4 = 18

100/4 = 25

Answer 18/25

Answer:

Step-by-step explanation:

hello : the equation is : √3 sinθ= -3 cosθ means :

sinθ/cosθ = -3/√3

sinθ/cosθ = - √3 because : 3 =√3 ×√3

but : sinθ/cosθ = tan θ

tan θ = - √3 and - √3 = tan( π - π/3) = tan(2 π/3)

you have : tan θ = tan(2 π/3)

note : tanx=tany means : x= y + k π ... k in Z

so : all solutions in R are θ = 2 π/3+k π ... k in Z

Answer:

previous monthly salary is R 308,550 and increment is R 21,450

Step-by-step explanation:

Let the previous monthly salary be x

Current salary = R 330,000

Percent increase = 6,5%

Increase = 6.5% * 330,000

Increase = 0.065 * 330,000

Increase = Rs21,450

Previous salary = 330,000 - 21,450

Previous salary = 308,550

Hence previous monthly salary is R 308,550 and increment is R 21,450

Answer:

Image 1

Step-by-step explanation:

To answer this question, we need to know how to use a box plot.

I've attached an image that demonstrates this well and can teach you what each part of the box plot means.

Specifically, the 2 farthest dots at the end are the minimum and maximum. The two sides where the box starts are the lower and upper quartiles. Finally, the line in the middle of the box is the median.

With this, we can analyze each box plot and determine which one is correct.

Box Plot 1: Everything is plotted correctly- Maximum and minimum plotted correctly, median plotted correctly, upper and lower quartile plotted correctly.

Box Plot 2: Everything plotted correctly EXCEPT maximum of 48 is represented at 46.

Box Plot 3: Everything plotted correctly EXCEPT the upper quartile of 45 is at 39.

Box Plot 4: Upper quartile represented at 39 and maximum represented at 46 are both incorrect.

Answer:

(0,1)

Step-by-step explanation:

the answer is (0,1)

Answer:

19 ppg

Step-by-step explanation:

Answer:

the required probability is 0.0357

Step-by-step explanation:

Given the data in the question;

X-Exp( λ = 40/60 = 0.6667

Pdf: f( x ) = λe^(-λx), 0 < x

so

Cdf: P( X < x ) = 1 - e^(-λe)

( X ≤ x ) = 1 - e^(-λe), for x > 0 ⇒ p( X > x ) = e^(-λe)

now to wait at least 5 minutes before seen another

p(X  > 5 ) = e^(-λe)

we substitute

p(X  > 5 ) = e^(-0.6667 × 5)

p(X  > 5 ) = e^(-3.3335)

p(X  > 5 ) = 0.035668 ≈ 0.0357

Therefore,  the required probability is 0.0357

Answer:Point X= 1600m, Point Z= 2050m

Step-by-step explanation:

Answer:

Step-by-step explanation:

85% of fasteners = conforming

10% of fasteners = downgraded

5% of fasteners = scrap

In a sample size of 500 fasteners

410 = conforming , 55 = downgraded,

The true percentage actually differ from 85%, 10%, and 5% as shown below

                               Observed Expected

conforming                 410                  500*0.85 = 425

Downgraded               55                  500*0.10 = 50

Scrap                            35                  500 * 0.05 = 25

Test statistic

determine the test statistic

= [ (410 - 425)2 / 425 + (55 -50)2 / 50 + (35 - 25)2 / 25 ]

chi-square statistic. = 5.0294

Answer: is 2.

Step-by-step explanation:

Answer:

common factor of 18 is 1 2 3 6 9 18

common factor of 20 is 1 2 4 5 20

1 2

hope it is helpful to you

Answer:

The slope of this line is -4

☁️ Answer ☁️

Yh, im not helping you.

Answer:

0step by step explanation because no blue in the bag