△ABC is mapped to △A′B′C′ using the rule (x, y)→(−x, −y) followed by (x, y)→(x, −y) .



Which statement correctly describes the relationship between △ABC and △A′B′C′ ?


A. △ABC is congruent to △A′B′C′ because the rules represent a reflection followed by a rotation, which is a sequence of rigid motions.

B. △ABC is congruent to △A′B′C′ because the rules represent a rotation followed by a reflection, which is a sequence of rigid motions.

C. △ABC is not congruent to △A′B′C′ because the rules do not represent a sequence of rigid motions.

D. △ABC is congruent to △A′B′C′ because the rules represent a reflection followed by a reflection, which is a sequence of rigid motions.

Add 5 to both sides.

x−5+5≥9+5

Answer: x≥14

Answer:

b second option

Step-by-step explanation:

just did on edge

Answer:

B

Step-by-step explanation:

Just did it

Answer:

0.85 mile(rounded to nearest hundredth)

Step-by-step explanation:

We have to convert 1500 yards into miles.

To convert 1500 yards into miles, we first need to know the relation between yards and miles.

So we have,

[tex]1 \:\text{mile}=1760\:\text{yards}[/tex]

Now, to convert 1500 yards into miles, we need to know how many miles are there in 1 yard.

So, we have

               [tex]1\:\text{yard}=\frac{1}{1760} \:\text{miles}[/tex]

[tex]\implies1500 \:\text{yards}=\frac{1500}{1760} \:\text{mile}[/tex]

[tex]\implies1500 \:\text{yards}=\frac{150}{176} \:\text{mile}[/tex]

[tex]\implies1500 \:\text{yards}= \frac{75}{88}\:\text{mile}[/tex]

[tex]\implies1500 \:\text{yards}= 0.85\:\text{mile}[/tex]

Hence, 1500 yards is 0.85 mile, rounded to nearest hundredth.

[tex]24 > -3r\geq-9\ \ \ \ |\text{change the signs}\\\\-24 < 3r\leq9\ \ \ \ |\text{divide both sides by 3}\\\\\boxed{-8 < r\leq3}[/tex]

Inequalities are used to represent unequal expressions.

The solution to [tex]24>-3r \ge -9[/tex] is [tex]-8<r \le 3[/tex]

Given

[tex]24>-3r \ge -9[/tex]

Divide through by -3

[tex]\frac{24}{-3}>\frac{-3r}{-2} \ge \frac{-9}{-3}[/tex]

Negative division changes the inequality sign

So, we have:

[tex]-8<r \le 3[/tex]

Hence, the solution to [tex]24>-3r \ge -9[/tex] is [tex]-8<r \le 3[/tex]

See attachment for the graph of [tex]-8<r \le 3[/tex]

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Answer:

The perimeter of [tex]\triangle DMN[/tex] will be 62.1939...

Step-by-step explanation:

In [tex]\triangle DMN[/tex], the length of side [tex]DM = 10\sqrt{3}[/tex] and the measures of [tex]\angle M[/tex] and [tex]\angle N[/tex] are 75° and 45° respectively.

As the sum of all angles in a triangle is always 180°, so the measure of [tex]\angle D[/tex] will be:  180°- (75°+45°) = 180°- 120° = 60°

Now using Sine rule, we will get......

[tex]\frac{MN}{Sin(D)}=\frac{DN}{Sin(M)}=\frac{DM}{Sin(N)}\\ \\ \frac{MN}{Sin(60)}=\frac{DN}{Sin(75)}=\frac{10\sqrt{3}}{Sin(45)}\\ \\ MN= \frac{10\sqrt{3}}{Sin(45)}*Sin(60)=21.2132...\\ \\ DN=\frac{10\sqrt{3}}{Sin(45)}*Sin(75)=23.6602...[/tex]

So, the perimeter of [tex]\triangle DMN[/tex] will be: [tex]DM+MN+DN = 10\sqrt{3}+21.2132...+23.6602... =62.1939...[/tex]

The number 87.65487.65487, point, 654 can be placed on a place value chart as follows:

Tens Ones . Tenths Hundredths Thousandths

888 777 ..point 666 555 444  

Decimal place value

The first digit after the decimal represents the tenths place. The next digit after the decimal represents the hundredths place. The remaining digits continue to fill in the place values until there are no digits left.

Example: 0.810.810, point, 81

The number 0.\blueD8\greenD10.810, point, start color blueD, 8, end color blueD, start color greenD, 1, end color greenD is made up of \blueD88start color blueD, 8, end color blueD tenths and \greenD11start color greenD, 1, end color greenD hundredth.

We can also write this as:

0.\blueD8\greenD1=\blueD{0.8}+\greenD{0.01}0.81=0.8+0.010, point, start color blueD, 8, end color blueD, start color greenD, 1, end color greenD, equals, start color blueD, 0, point, 8, end color blueD, plus, start color greenD, 0, point, 01, end color greenD

or

0.\blueD8\greenD1=\blueD{\dfrac8{10}}+\greenD{\dfrac1{100}}0.81=  

10

8

​  +  

100

1

​  0, point, start color blueD, 8, end color blueD, start color greenD, 1, end color greenD, equals, start color blueD, start fraction, 8, divided by, 10, end fraction, end color blueD, plus, start color greenD, start fraction, 1, divided by, 100, end fraction, end color greenD

Or we can use a place value chart:

Ones . Tenths Hundredths

000 ..point \blueD88start color blueD, 8, end color blueD \greenD11start color greenD, 1, end color greenD

Want to learn more about decimal place value? Check out this video.

Want to review whole number place value? Check out this article.

Practice

Answer:

4/9 probability

Step-by-step explanation:

Imagine winning something, there's 3 possible prizes that you get to choose from and get to keep let's say 4 days? These all written on the paper that you must pull from a box.

Your three prizes are

             D1    D2   D3    D4

1. a car

2. a bike

3. skateboard.

Now if you can imagine a grid and you mark 1 dot in each day we'll end up with 12 slots total.

Let's say you don't want a skateboard you rather have a car or a bike. We need to figure out of the 12 possibility (assuming all are equal) What's the possibility of you pulling out anything BUT a skateboard?

You want at least 3 days in either or. So we must find P = (Days without skateboard)

We know it's all equal outcomes, you're going to get 1 day of that 1 item.. soo..

p (DWS) = _____

                 12 outcomes

Now you want how many days MORE THAN 3, can you use anything but the skateboard?

You have 3 & 4 days with a car...

You have 3 or 4 days with a bike.. Which gives us 4 of the days we do want!

Giving your final problem the looking like this .. P(DWS) = 4/9

In respects/C to KhanAcademy.

Answer:

4/9 probrabitaty

Step-by-step explanation:

Here we are given the expression:

[tex]x^{2}+18[/tex]

Now let us equate it to zero to find x first,

[tex]x^{2}+18=0[/tex]

Now subtracting 18 from the other side,

[tex]x^{2}=-18[/tex]

taking square root on both sides,

So we will get two values of x as ,

[tex]x=3\sqrt{-2}[/tex]

[tex]x=-3\sqrt{-2}[/tex]

Now we can write square root -1 as i,

So our factors become,

[tex]x=3i\sqrt{2}[/tex]

[tex]x=-3i\sqrt{2}[/tex]

Answer:

The final factored form becomes,

[tex](x+3i\sqrt{2})(x-3i\sqrt{2})[/tex]

Answer:

[tex](x+3i\sqrt{2})(x-3i\sqrt{2})[/tex]

Step-by-step explanation:

1. You must apply the Quadratic formula, which is:

[tex]x=\frac{-b+/-\sqrt{b^{2}-4ac} }{2a}[/tex]

2. Substitute values:

[tex]a=1\\b=0\\c=18[/tex]

[tex]x=\frac{-0+/-\sqrt{0^{2}-4(1)(18)} }{2(1)}\\x=\frac{+/-\sqrt{-72}}{2}\\x=\frac{+/-6i\sqrt{2}}{2}\\x=+/-3i\sqrt{2}[/tex]

3. Finally, you obtain:

[tex](x+3i\sqrt{2})(x-3i\sqrt{2})[/tex]

Answer:

12.5

Step-by-step explanation:

Marc and Corlina will have the same amount of CD's after 8 months.

45 + 4(8) = 77

61 + 2(8) = 77

First we have to see which is the right angle.  This triangle has its legs oriented parallel to the axes. (-3,-1) and (1,-1) form the horizontal leg, (1,-1) and (1,2) the vertical leg.  

So the right angle vertex is (1,-1) and the hypotenuse endpoints are (-3,-1) and (1,2)

The length is given by

[tex]d = \sqrt{ (1 - -3)^2 + (2 - -1)^2} = \sqrt{4^2+3^2}=\sqrt{25} = 5[/tex]

This is a 3/4/5 right triangle.

Answer: 5

Answer:

12.36

Step-by-step explanation:

Answer:

Its: 12.36

Step-by-step explanation:

The area of a rectangle is the width times the length:

[tex] A = w\cdot l \iff 228 = w\cdot 12 \iff w = \dfrac{228}{12} = 19 [/tex]

The perimeter is twice the sum of the dimensions:

[tex] 2p = 2(12+19) = 2\cdot 31 = 62 [/tex]

The perimeter of the rectangle with dimensions 19 ft*12 ft comes to be 62 square feet.

Suppose the breadth of the rectangle is x.

The perimeter of a rectangle is the sum of all its sides i.e. the sum of two lengths and two breadths.

If length and breadth are a and b respectively then perimeter =2(l+b).

According to the question

Length =12 ft

Area=228 square ft

So, length * breadth = 228

[tex]12x =228[/tex]

[tex]x=\frac{228}{12}[/tex]

x=19

So, breadth of the rectangle =19 ft

So, perimeter = 2(12+19) = 62 square feet.

Hence, the perimeter of the rectangle with dimensions 19 ft*12 ft comes to be 62 square feet.

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Answer:

A. It is the total cost for entertainment and cleaning.

Step-by-step explanation:

If we look at the information it says:

Facility rental is dependent upon number of hours we are renting the facility for.

Linen, food, and decoration also depends upon the number of attendees. Also, the table decorations depend upon the number of attendee.

The things that are independent of the number of attendees are entertainment and cleaning fee. These are fixed charges.

So, the total cost for entertainment and cleaning are the constants in the expression. This is the amount that will remain constant regardless of the number of attendees.

Last month, Carrie had 14 coins.

All we have to do is divide 120 by 15

120 ÷ 15 = 8

Therefore, it will take 8 hours to drive 120 miles at a speed of 15 mph

Hope this helps

-AaronWiseIsBae

15miles = 60minutes

divide 15 by 120 which equals 8

8 times 60 equals 480

your answer should be 8 hours

The answer should be true

Hope it helps

The midpoint of a line segment using paper folding constructions yes it is true.

Comparable to mirroring one side of a plane in a crease, folding paper. So, to fold is to map one half of a plane onto another while also creating a crease.

The steps used to create a mid-point are given below:-

1. The top of the paper lies in itself; hence, we can say that the line segment lies in itself.

2. You have a new line at the centre of the paper. The point at the top of this centre line is the midpoint of the line segment.

3. The edges that lie on each other translate to the endpoints lying on each other.

Therefore, the midpoint of a line segment using paper folding constructions yes it is true.

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please write the complete question for answer

Given function: P(x) = -10x + 80.

Where function represents the amount of granola, in ounces and x represents the number of ounces Paula puts in each bag.

Range of the function is the values of the function we would get.

That is the amount of granola in ounces for different x values.

For x=0 the number of ounces would be -10(0)+80 = 80.

And for x=8, it would be -10(8) + 80 = 0.

But even we could take decimal values too.

Like x=0.5 ounces, x=0.55 ounces etc.

And that 0.55 would give a decimal value.

Therefore, we can take any real number for x between 0 and 8.

But we need to find the range.

So, the range would be between 0 and 80 and it could be any real number.

Therefore, correct option is :

C. all real numbers between and including 0 and 80.

it is A. for all plato users

need more info in order to kinda see how many women there were

Answer:

5x^2+x+1

Step-by-step explanation:

the expression for f(x) - g(x) is 5x² - 9x - 1.

To find f(x) - g(x), we simply subtract the expression for function g(x) from the expression for f(x):

f(x) - g(x) = (5x² - 4x) - (5x + 1)

Now, let's simplify the expression by combining like terms:

f(x) - g(x) = 5x² - 4x - 5x - 1

Next, combine the x terms:

f(x) - g(x) = 5x² - (4x + 5x) - 1

Now, combine the x terms inside the parentheses:

f(x) - g(x) = 5x² - 9x - 1

So, the expression for f(x) - g(x) is 5x² - 9x - 1.

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I'm so sorry if these are wrong...

1. y=-7/5x-3

2. y=1x+6

3. y=5/4x-8

4. y=1/4x-2

5.y=-5x-2

6. y=-2/5x-3

7. y=5x+19

8. y=2x-6

9. y=-4/5x-5

10. y=-4/5x+4

To solve this problem you must think in this way.

First we see that function y is greater than 3-x, conclusion is the following

shaded area must be above function. That condition is satisfied by the graph 3 and 4.

Then we write inequality in the slope form  y> -x+3.

We see that the coefficient of direction is -1 (negative) which mean that the graph is decreasing. That condition is satisfied by the graph No 4.

The correct answer is graph number 4 ( or D.)

Good luck!!!

[tex]8x > -32\qquad|\text{divide both sides by 8}\\\\x > -4\\-----------------------------------\\\\6x\leq-48\qquad|\text{divide both sides by 6}\\\\x\leq-8\\\\Answer:\ c)\ x > -4\ or\ x\leq-8[/tex]

Using mathematical operations we know that 170 straws were used in all.

So, the total straws used:

Then, calculate as follows:

Therefore, using mathematical operations we know that 170 straws were used in all.

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Answer,

Explanation,

All they are asking you to do is input the numbers, "2.5" & "-14.6" into the eqation.

So, let's do that.

-2.5 - |-14.6|

Now, all you have to do is simplify,

-2.5 - |-14.6| = -17.1

Hope this helps :-)