Trapezoid A B C D is shifted down and to the left to form trapezoid A prime B prime C prime D prime. Trapezoid A prime B prime C prime D prime is rotated 270 degrees about point B.
What is the final transformation in the composition of transformations that maps pre-image ABCD to image A"B'C"D"?

a translation down and to the right
a translation up and to the right
a 270° rotation about point B'
a 180° rotation about point B'

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Explanation:

Focus on the upper semicircle. It's composed of the arc pieces that are 30 degrees, x degrees, and y degrees. The y is the missing unmarked portion of the upper semicircle.

Subtract the 30 and y degree angles, divide by 2, and set that result equal to 10. This will help us solve for y

(30-y)/2 = 10

30-y = 10*2

30-y = 20

-y = 20-30

-y = -10

y = 10

Because the 30, x and y arcs form a semicircle, this must mean the three arcs add to 180 degrees

30+x+y = 180

30+x+10 = 180

x+40 = 180

x = 180-40

x = 140

The labels for the segmented bar graph include:

A bar graph is a graph that presents categorical data with rectangular bars with heights or lengths proportional to the values that they represent.

Here, the identification of the labels for the segmented bar graph has been depicted based on the information.

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Answer:

4000 millilitres

Step-by-step explanation:

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Work Shown:

1 liter = 1000 mL

4*(1 liter) = 4*(1000 mL)

4 liters = 4000 mL

Answer:

It lies between the number 9 and 10.

Step-by-step explanation:

Your Welcome, hope this helps:)

Answer:

We all know that every square root lies between the square root of two perfect squares. Hence, √90 lies between the consecutive numbers 9 and 10.

Step-by-step explanation:

k

Answer:

101

Step-by-step explanation:

Angles 1 and 2 together equal 180, Angle 1 is 79 therefore

180 = Angle 1 + Angle 2

180 = 79 + Angle 2

180 - 79 = Angle 2

101 = Angle 2

Answer:

10log10(3)abc

The equivalent expression for the log function log3(a^5bc^2) is  5log3a+log3b−2log3c

Logarithmic functions are expressed as the inverse of exponential functions.

Given the logarithmic expression

log3(a^5bc^2)

Since product are written in form of addition, hence;

log3(a^5bc^2) = log3(a^5) + log3(b) + log3(c^2)

The power will be carried to the back of the log function;

log3(a^5bc^2) = 5log3(a) + log3(b) + 2log3(c)

This gives the equivalent expression for the log function log3(a^5bc^2)

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Answer:

let total be U and strawberry be S and.apple be A .

now

n[U]=200

n[S]=56% 0f 200=112

n[A]=44%of 200=88

n[A n S]=30%of 200=60

now

[tex] \bar {A U S}=?[/tex]

we have

n[U]=n[A] +n[B]-n[ A n B]+[tex] \bar{A U S}[/tex]

[tex] \bar{A U S}[/tex]=200-112-88+60=60

option C. 60 is a required answer.

Hope this help!!!

Have a nice day!!!

Answer:

09

Step-by-step explanation:

Answer:

-1 I think so.....

n please rate this

the answer is d. -5n - 6 :)

Perimeter = 2(length+breadth)

326= 2(98+b),

breadth= 65 cm

Area of rectangle = l×b = 98×65= 6370cm²

Answer:

B). F(1, 12) = 16.00

Step-by-step explanation:

'ANOVA' is a measure employed for 'analysis of a variance' in a given set of data of treatments or populations. While t-test helps in comparing their means.

As per the question, the F-ratio using ANOVA would be 'F(1, 12) = 16.00.' In order to calculate the variances, the distinction among the samples. The б^2 denotes the difference of representative means which is augmented by n(in case of samples being same). So, the ratio of F(1, 12) would be б^2 i.e. 4^2 = 16 since the sample sizes are distinct. Thus, option B is the correct answer.

Answer:

4

Step-by-step explanation:

Based on this question, addition means the first number is the brother of the other, subtract means the first number is the sister of the other and multiplying means the first number is the father of the other.

We see 4 is literally multiplying M by N-C, meaning N is the sister of C and M is the father of N and C.

Answer:

Step-by-step explanation:

Substitute the value for y or x into the equation thats listed with it.

For the first one, substitute 3 in place of y.

3x + 6 y = 60 turns into

3x + 6 * 3 = 60

3x + 18 = 60

3x = 60-18

3x = 42

x = 42/3

x = 14

Apply the same to the other equations

10x + 4y = 70 turns into

10 * 5 + 4y = 70

Then solve for y

Answer:

2%

Step-by-step explanation:

Find the sales tax rate by dividing the amount of sales tax by the original cost:

6.40/320

= 0.02

So, the sales tax rate is 2%

Answer:

Future value, A = $10,500

Step-by-step explanation:

Given the following data;

Principal = Rs. 10,000

Interest rate compounded half yearly = 10% = 10/2 = 5%

Time = 1 year

To find the future value, we would use the compound interest formula;

[tex] A = P(1 + \frac{r}{100})^{t}[/tex]

Where;

Substituting into the equation, we have;

[tex] A = 10000(1 + \frac{5}{100})^{1}[/tex]

[tex] A = 10000(1 + 0.05)[/tex]

[tex] A = 10000(1.05)[/tex]

Future value, A = $10,500

Answer:

Volume of cylinder = 192π inch³

Step-by-step explanation:

Given:

Diameter of base = 8 inch

Length of cylinder = 12 inch

Find:

Volume of cylinder

Computation:

Radius of cylinder = Diameter of base / 2

Radius of cylinder = 8 / 2

Radius of cylinder = 4 inch

Volume of cylinder = πr²h

Volume of cylinder = π(4)²(12)

Volume of cylinder = π(16)(12)

Volume of cylinder = 192π inch³

Answer:

Step-by-step explanation:

Answer:

f(n) = 4n + 16

Step-by-step explanation:

n is the nth number in the sequence

plug in the first 3 to check the rule:

4(1) + 16 = 4 + 16 = 20

4(2) + 16 = 8 + 16 = 24

4(3) + 16 = 12 + 16 = 28

it works

Answer:

± [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Given

[tex]\sqrt{\frac{9}{16} }[/tex] = [tex]\frac{\sqrt{9} }{\sqrt{16} }[/tex] = ± [tex]\frac{3}{4}[/tex] ← note plus or minus

Answer:

3/4

Step-by-step explanation:

The square root of 9 is 3 and the square root of 16 is 4 so you get an answer of 3/4.

Hope it helps

Answer:

0.0923 = 9.23% probability that four of the patients are still alive after five years.

Step-by-step explanation:

For each patient, there are only two possible outcomes. Either they are still alive after five years, or they are not. The probability of a patient being alive is independent of any other patient, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Po is an oncologist with seven patients in their care.

This means that [tex]n = 7[/tex]

The probability that a patient will survive five years after being diagnosed with stage three breast cancer is 0.82.

This means that [tex]p = 0.82[/tex]

What is the probability that four of the patients are still alive after five years?

This is P(X = 4). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 4) = C_{7,4}.(0.82)^{4}.(0.18)^{3} = 0.0923[/tex]

0.0923 = 9.23% probability that four of the patients are still alive after five years.

Answer:

4.58258

Step-by-step explanation:

Pythagorean Theorem:

a² + b² = c²

Input:

2² + x² = 5²

Remember, c² is always the side opposite of the right angle...

4 + x² = 25

21 = x²

x = 4.58258

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

[tex]\sqrt{21}[/tex]

Step-by-step explanation:

let the missing side be x , then

Using Pythagoras' identity in the right triangle.

x² + 2² = 5²

x² + 4 = 25 ( subtract 4 from both sides )

x² = 21 ( take the square root of both sides )

x = [tex]\sqrt{21}[/tex] ≈ 4.6 ( to 1 dec. place )

Answer: 6x−6

6x−6

=6(x−1)

Answer:

6(x−1)

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Answer:

108

Step-by-step explanation:

3 yards equal 9 feet and 1 foot equals 12 inches so that means do 12 x 9 and you get 108

The correct option is A.

Feet ÷ 3 = 1 yards. yard is 3 feet long, so all you have to do is divide the number of feet by 3 to get the number of yards for your measurement

We know that,

1 feet is equal to 12 inches.

1 feet = 12 inches.

1 yard = 36 inches.

3 yards = 36 × 3 = 108 inches.

3 yards = 108 inches.

Therefore, 108 inches are there in 3 yards.

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Answer:

Step-by-step explanation:

8y^2 -12y +4 / 4y = 2y -3     so from this result that a=2y and b= - 3

8y^2

Answer:

the answer is 2. (6 and 4)

Step-by-step explanation:

6 + 4 = 10