Which series of transformations maps △ABC to △A′B′C′?
Two triangles with vertices A (1, 6), B (5, 0), C (5, 6), & A prime (8, negative 1), B prime (2, negative 5), C prime (8, negative 5).

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Select all that apply.
a translation right 2 units and a rotation 270∘ counterclockwise about the origin
a rotation 90∘ clockwise about the origin and a translation right 2 units
a translation right 2 units and a rotation 90∘ clockwise about the origin
a rotation 270∘ counterclockwise about the origin and a translation right 2 units

Answer: the answer is 75

Step-by-step explanation:

67 x 4

Answer:

B) a²-(2*4)

Step-by-step explanation:

Since we are looking for the gray area only, we need to find the total area of the figure, but subtract that from the area of the unshaded area.

The total area of the figure is a*a=a²

The area of the unshaded figure is 2*4=8 units^2

This means the gray area is a²-(2*4) units^2, making B correct

Answer:

c

Step-by-step explanation:

Quart is one of the following U.S. customary units is closest in volume to 1 liter. Option D is correct.

The term "volume" refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.

The relation between the quart and the liter is found as;

1 quarts = 0.94635295 liters

The value in liter is approximately equal to 1. Quart is one of the following U.S. customary units is closest in volume to 1 liter.

Hence,option D is correct.

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Answer:

1 4/5 pounds

Step-by-step explanation:

You can check my answer by multiplying it by the total number of loaves. This is because there are a certain number of loaves, and the answer I got was the weight of 1. 1 4/5 * 5 = 9.

Answer:

1. 14

2. 17.5

3. 60

4. 238

5. 91.4375

6. 58.065

Step-by-step explanation:

Sorry, I'm only doing 6, GOOD LUCK!!!

Answer:

it seems you have made a typo

Step-by-step explanation:

The area of the rectangle is A = 4 4/27 inches²

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangle be represented as A

Let the length of the rectangle be L = 2 2/3 inches

Let the width of the rectangle be W = 1 5/9 inches

So , Area of Rectangle = Length x Width

On simplifying , we get

Area of rectangle A = 2 2/3 inches x 1 5/9 inches

A = ( 8/3 ) ( 14/9 )

A = ( 112/27 )

On further simplification , we get

A = 4 4/27 inches²

Hence , the area of rectangle is A = 4 4/27 inches²

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Answer:

We have

selling price=Discount + sales price

discount=discount rate×selling price.

discount=discount /selling price ×100%

Sales price =selling price - discount

Mark of price=mark up price rate ×original price

Selling price:mark of price + original price

commission amount=commission rate ×total sales

simple interest=principal amount ×rate×time/100

Answer:

Step-by-step explanation:

Answer:

solution given:

(3a^2b) /(5ac) x (10c) /(6ab)

[tex] \frac{3a {}^{2}b }{5ac} \times \frac{10c}{6ab} \\ \frac{3ab \times 10c}{5c \times 6ab} \\ \frac{2}{2} \\ 1[/tex]

1 is your answer

Answer:

Step-by-step explanation:

Fraction: 24/30 or 4/5 Percentage: 80%

answer:'+' also means 'add'

It signifies a positive number, as described above, but it also means 'add' or 'plus'. For example 2+3 means 'two plus three' with a result of 5. Here, the plus-sign means addition. The same confusion happens with the minus ( – ) sign.

Answer:

D) 10.5

Step-by-step explanation:

4 2/3 = 14/3

Ratios:

[tex]\frac{14/3}{49} =\frac{1}{x } \\\\\frac{14}{3} x=49\\\\14x=147\\x=10.5[/tex]

Answer:

Option 1, 3, 4 are true

Step-by-step explanation:

Answer:

statement 1 3 and 4 are correct

[tex]{ \large{ \sf{r {}^{2} = \dfrac{V}{πh} }}}[/tex]

[tex]{ \large{ \sf{ \therefore{r = \sqrt{ \dfrac{V}{πh} } }}}}[/tex]

Answer:

The 90% confidence interval for the difference between the proportions of Democrats and Republicans who approve of the mayor's performance is (-0.1078, 0.1702).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction of normal variables:

When two normal variables are subtracted, the mean is the subtraction of the means while the standard deviation is the square root of the sum of the variances.

In a random sample of 42 Democrats from one city, 10 approved of the mayor's performance.

This means that:

[tex]p_D = \frac{10}{42} = 0.2381, s_D = \sqrt{\frac{0.2381*(1-0.2381)}{42}} = 0.0657[/tex]

In a random sample of 58 Republicans from the city, 12 approved of the mayor's performance.

This means that:

[tex]p_R = \frac{12}{58} = 0.2069, s_R = \sqrt{\frac{0.2069*(1-0.2069)}{58}} = 0.0532[/tex]

Distribution of the difference:

[tex]p = p_D - p_R = 0.2381 - 0.2069 = 0.0312[/tex]

[tex]s = \sqrt{0.0657^2+0.0532^2} = 0.0845[/tex]

Confidence interval:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

Now, find the margin of error M as such

[tex]M = zs[/tex]

[tex]M = 1.645*0.0845 = 0.139[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 0.0312 - 0.139 = -0.1078

The upper end of the interval is the sample mean added to M. So it is 0.0312 + 0.139 = 0.1702

The 90% confidence interval for the difference between the proportions of Democrats and Republicans who approve of the mayor's performance is (-0.1078, 0.1702).

here you go, hope this is helpful!

Answer:

nice.

Step-by-step explanation:

Answer:

109.3

Step-by-step explanation:

The area of a circle is 3.14 multiplied by the radius squared and the radius is the diameter divided by two which is 5.9. so the equation would be 3.14 times 5.9 squared

Step-by-step explanation:

Gravity, also called gravitation, in mechanics, the universal force of attraction acting between all matter. ... On Earth all bodies have a weight, or downward force of gravity, proportional to their mass, which Earth's mass exerts on them. Gravity is measured by the acceleration that it gives to freely falling objects

13 is the value when 2 is added to 11

Answer:

First sequence: 0, 7, 14, 21, 28 and second sequence: 8, 16, 32, 64, 128

Answer:

First sequence: 0, 7, 14, 21, 28 and second sequence: 8, 16, 32, 64, 128

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

3+6=9

3-4=-1

9 doesn't equal -1 therefore no solution.

Answer:

Mean = 1

Step-by-step explanation:

[tex]mean = \frac{ - 1 + 9 - 4 - 6 + 5 + 3}{6} \\ \\ mean = \frac{6}{6} \\ \\ mean = 1[/tex]

I hope that is useful for you :)

Answer:

1

Step-by-step explanation:

Hello, if you ever heard the hey diddle diddle song, it would say that you add and divide for the mean. So lets try that! First, add all the numbers together like this:

-1+9+(-4)+(-6)+5+3=6

Then, you take the number and divide it by the number of numbers in that set. In this case, it would be 6.

6/6=1

That means that the mean of the low temperatures is 1.

Answer: the answer is 2.5 meters long

Step-by-step explanation:

Answer:

b•h/2

12.8•9/2=57.6

area of the triangle is 57.6

12.8•18.5=236.8

area or rectangle is 236.8

the total area is 57.6+236.8=294.4

I hope this right

Answer:

The correct answer is the third option

Step-by-step explanation:

I used a graphing calculator and also did L(W). But, the length (height) was 9 and (base) width 5

Answer:

106 - 8h = 34

Whenever a math question says "when h = 9," they mean you substitute this number where h is in the equation.

106 - 8(9) = 34

106 - 72 = 34

34 = 34

This means the fact that h = 9 is a solution for h.

I hope this helps! I would really appreciate it if you would please mark me brainliest! Have a blessed day!