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The figure shown has two parallel lines cut by a transversal:

Use the figure to complete the sentence.


∠7 and ____ are alternate exterior angles.


∠2

∠1

∠5

∠8

Answer:

'(3, -4), '(1, 0), '(4, 0)

Step-by-step explanation:

According to the 180°-rotation rule, you take the OPPOSITE of both the x-coordinate and y-coordinate:

(-3, 4) → (3, -4)

(-1, 0) → (1, 0)

(-4, 0) → (4, 0)

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The coordinates of the vertices after rotated 180° about the origin are;

( 3, -4 ), ( 1, 0 ) and ( 4, 0 ).

Here,

Given that;

A triangle has vertices at (-3, 4), (-1,0), and (-4,0).

We have to find the value of the coordinates of the vertices after rotated 180° about the origin.

What is Rotation 180 degree about the origin?

The rule for a rotation by 180° about the origin is (x, y) → (−x,−y).

Now,

A triangle has vertices at (-3, 4), (-1,0), and (-4,0).

Hence the coordinates of the vertices after rotated 180° about the origin are,

(-3, 4) ⇒ (3, -4)

(-1, 0) ⇒  (1, 0)

(-4,0) ⇒ (4, 0)

So, The coordinates of the vertices after rotated 180° about the origin are;

( 3, -4 ), ( 1, 0 ) and ( 4, 0 ).

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Answer: [tex]h=\dfrac{E}{mg}[/tex], where E = gravitational potential energy, m = mass, g = gravity, and h = height.

Step-by-step explanation:

Given : The formula [tex]E= mgh[/tex] , where E = gravitational potential energy, m = mass, g = gravity, and h = height, is used to calculate gravitational potential energy.

To find the formula for h (height), we need to divide mg on both the sides , we get

[tex]h=\dfrac{E}{mg}[/tex]

Hence, the formula for h will be [tex]h=\dfrac{E}{mg}[/tex], where E = gravitational potential energy, m = mass, g = gravity, and h = height.

For the formula  E= mgh, when we solve for h, we would get : Option B. h equals E over m times g

To solve the formula E = mgh for h,

we need to isolate the variable h on one side of the equation.

Here's the step-by-step process:

equation: E = mgh.

Divide both sides of the equation by mg to make h the formula of the equation

E/(mg) = h

Therefore, the formula E = mgh, when solved for h, becomes h = E/(mg). Option B is correct.

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Answer:

The change in price is $0

Step-by-step explanation:

dropped $3 means "-3", increased $6 means "+6"

the price dropped twice so 2(-3) and increased once by 6

so, 2(-3) + 6 = 0

The price of the online movie stayed the same from Monday morning to the following Monday morning. It dropped $6 on the first day and increased $6 on the next Monday, so the decrease and increase balanced each other out.

This problem belongs to the field of basic mathematics, specifically, arithmetic operations. To solve this, we'll follow the changes day by day. On Monday morning, the price of the online movie dropped $3 and then another $3 in the afternoon. That's a total drop of $3 + $3 = $6. The following Monday morning, the price increased by $6. So overall, the movie price just returned to its original price because the total amount of decrease, which is $6, and the total amount of increase, which is also $6, balanced each other out. So, the price of the online movie when its changed from Monday morning to the following Monday morning remained the same.

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In the number 861, the value of the digit 6 is 60 because it falls in the tens place.

The value of the 6 in 861 is in the tens place. This means that it's value is not simply 6, but 60. In other words, the value of a digit depends on its position or place value in the number. In this case, because 6 falls in the tens place, it represents 60 rather than 6.

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Answer:

y=x-3

Step-by-step explanation:

4x − 5 = 7 + 4y

4y=4x-5-7

4y=4x-12

y=4x-12/4

y=x-3

Answer:

The solution to that inequality is (-2,2).

Step-by-step explanation:

Given the inequality |x|<2, we have two possibilities

1) x<2 or

2) -x<2 ⇒ x> -2.

Then the intersection between solutions is (-2, 2).

Answer:

No, Kari did not run more than 15 miles last week, she instead only ran 14.1 miles. Hope this helps :)

Answer:

Step-by-step explanation:

(x + 3)² − 5   because :

(x + 3)² − 5 = x² +6x+9 -5 =x²+6x+4

Answer:

communicative property  of addition

Step-by-step explanation:

communicative property  of addition:  The order in which numbers are added doesn't change the sum of the numbers .

For any number a & b,

a + b = b + a

similarly,

3 +4 = 4 +3

The property demonstrated in statement 3 + 4 = 4 + 3 is known as the commutative property of addition.

According to the commutative property of addition, altering the order of addends has no impact on the sum.

The given statement is 3 + 4 = 4 + 3.

The value of the R.H.S and L.H.S are the same i.e. 7. Clearly if we alter the addends 3 and 4, we can get the same result. So, it can be concluded that this property is the commutative property of addition.

Therefore the property demonstrated in statement 3 + 4 = 4 + 3 is known as the commutative property of addition.

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Final answer:

1 mm is less than 1 3/8 inches. An inch is 25.4 millimeters, therefore 1 mm is much smaller than 1.375 inches (equivalent to 1 3/8 inches). The correct answer is option (a).

Explanation:

To answer this question, we need to first understand that 1 3/8 inches is a mixed number, meaning it is made up of a whole number and a fraction. In this case, it is 1 plus 3/8 of an inch. We can convert it into a decimal to compare with other measurements easily, and 1 3/8 inches is equal to 1.375 inches. Now we will compare it with the provided options.

1 mm - 1 millimeter is less than 1 3/8 inches because there are 25.4 millimeters in one inch. Therefore, 1 mm is much smaller than 1.375 inches.

So in this scenario, option (a) 1 mm is less than 1 3/8 inches.

Answer:

0

Step-by-step explanation:

-y₁ + y₂\-x₁ + x₂ = m

[tex] \frac{ - 2 + 2}{9 + 7} = \frac{0}{16} = 0[/tex]

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To solve the equation 13(y+7)=3(y−1), it's needed to expand the equation, isolate the variable, then solve for y. The solution to the given equation is y = -9.4.

To solve the equation 13(y+7)=3(y−1), we first expand each side of the equation by multiplying: 13y + 91 = 3y - 3. Next, we need to isolate the variable y on one side of the equation. We can do this by subtracting 3y from both sides which gives us 10y + 91 = -3. Then, subtract 91 from both sides of the equation to get: 10y = -94. Finally, divide each side by 10 to solve for y. Therefore, the solution is y = -9.4.

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The equation 13(y+7)=3(y−1) simplifies to y = -9.4 after expanding both sides of the equation, bringing like terms together and dividing by 10.

To solve the equation 13(y+7)=3(y−1), we start by expanding both sides of the equation:

13y + 91 = 3y - 3

We then bring like terms together:

13y - 3y = -3 - 91

This simplifies to:

10y = -94

Finally, we divide each side of the equation by 10 to isolate y:

y = -94/10

Hence, the solution to the equation is y = -9.4.

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Answer:

Part 1) 9 and 1 over 2 divided by 1 over 4

Part 2) 18, because the number of catalogs is 72 over 5 divided by 4 over 5

Part 3) 3.2

Part 4) 3.6 with bar over 6

Part 5) 4 over 7  and  4 over 9

Part 6) 43 over 9

Part 7) Benny spent to go to the summer camp $280.00

Part 8) $124

Part 9) (−$11) ⋅ 12

Part 10) -27 ft

Step-by-step explanation:

Part 1)

Let

x ------> the number of days

we now that

The total distance jogged must be equal to the distance jogged each day multiplied by the number of days

[tex]9\frac{1}{2}=\frac{1}{4}x[/tex]

Solve for x

[tex]x=\frac{9\frac{1}{2}}{\frac{1}{4}}[/tex]

therefore

The number of days is

9 and 1 over 2 divided by 1 over 4

Part 2)

Let

x ----> the number of catalogs

we know that

To find out the number of catalogs, divide the wide of the shelf by the thick of each catalog

[tex]x=\frac{\frac{72}{5}}{\frac{4}{5}} =\frac{72}{4}= 18\ catalogs[/tex]

therefore

18, because the number of catalogs is 72 over 5 divided by 4 over 5

Part 3) Convert 16 over 5 to a decimal

we know that

[tex]\frac{16}{5}=16(\frac{1}{5})=16(0.2) =3.2[/tex]

Part 4) How can 33 over 9 be expressed as a decimal?

we know that

[tex]\frac{33}{9}= 3.666666...[/tex] ----> is a repeating decimal

therefore

3.6 with bar over 6

Part 5) Which of the following numbers can be expressed as repeating decimals?

Verify each case

case a) 4 over 7

[tex]\frac{4}{7}= 0.571428571428571428...[/tex] ----> is a repeating decimal

case b) 2 over 5

[tex]\frac{2}{5}=0.40[/tex] ----> is a terminating decimal

case c) 7 over 8

[tex]\frac{7}{8}=0.875[/tex] ----> is a terminating decimal

case d) 4 over 9

[tex]\frac{4}{9}=0.44444...[/tex] ----> is a repeating decimal

therefore

4 over 7  and  4 over 9

Part 6) Which of the following rational numbers is equal to 4 point 7 with bar over 7 ?

Verify each case

case a) 43 over 9

[tex]\frac{43}{9}= 4.77777...[/tex]

case b) 49 over 9

[tex]\frac{49}{9}= 5.444444...[/tex]

case c) 35 over 9

[tex]\frac{35}{9}= 3.888888...[/tex]

case d) 32 over 9

[tex]\frac{32}{9}= 3.55555...[/tex]

therefore

43 over 9

Part 7)

we know that

1)Benny deposited $92.50 into his account every month for 10 month

so

[tex]\$92.50(10)=\$925.00[/tex]

2) He used $36.50 every month to pay for art lessons

[tex]\$925.00-10(\$36.50)=\$560.00[/tex] -----> total money left in his account after 10 months

3) After 10 months, he used 1 over 2 of the total money left in his account to go to a summer camp for artists

so

[tex](1/2)(\$560)=\$280.00[/tex]

therefore

Benny spent to go to the summer camp $280.00

Part 8)

we know that

1) Mini earned $160 during the summer doing chores

2) She bought 3 dresses worth $12 each using her chore money.

so

[tex]3(\$12)=\$36[/tex]

To find out how much money was left, subtract $36 from the amount earned during the summer doing chores

[tex]\$160-\$36=\$124[/tex]

therefore

$124

Part 9)

we have

1 year=12 months

Let

x ----> the total deductions for the year

we know that

The total deductions for the year is equal to the Ryan's tennis club membership multiplied by the number of a months in a year

so

[tex]x=(-\$11)12=-\$132[/tex]

therefore

(−$11) ⋅ 12

Part 10)

we know that

The total depth of a submarine is 45 ft

[tex]15\%=15/100=0.15[/tex]

15% of 45 ft is

(0.15)(45)=6.75 ft

using proportion

Find out the deep after 4 minutes

Let

x ----> the deep after 4 minutes

[tex]\frac{6.75}{1}\frac{ft}{min}=\frac{x}{4}\frac{ft}{min}\\\\x=6.75(4)\\\\x=27\ ft[/tex]

therefore

-27 ft

Answer:

Part 1) 9 and 1 over 2 divided by 1 over 4

Part 2) 18, because the number of catalogs is 72 over 5 divided by 4 over 5

Part 3) 3.2

Part 4) 3.6 with bar over 6

Part 5) 4 over 7  and  4 over 9

Part 6) 43 over 9

Part 7) Benny spent to go to the summer camp $280.00

Part 8) $124

Part 9) (−$11) ⋅ 12

Part 10) -27 ft

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Answer:

[tex]7^{27}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex], thus

[tex](7^9)^{3}[/tex] = [tex]7^{9(3)}[/tex] = [tex]7^{27}[/tex]

Answer:

C

Step-by-step explanation:

There are six dots in total at and after 4 1/2, therefore your answer is C. 6

Answer:

[tex]C.[/tex] [tex]6[/tex]

Step-by-step explanation:

If we look on the line plot, we are asked how many students spent [tex]4\frac{1}{2}[/tex] more hours or more on homework.

So find [tex]4\frac{1}{2}[/tex] on the line plot

You need to count the ones over 4 and a half and after it.

Which would be 6.

Answer:

51 salted pretzels were sold.

Step-by-step explanation:

Step 1: Write the data

Number of Ice cream cones sold: x

Cost of ice cream cones sold: 3x

Number of Salted pretzels sold: y

Cost of salted pretzels sold: 2.5y

Number of tacos sold: z

Cost of tacos sold: 2z

Step 1: Make equation 1

Total money made: $359.5

Money made from tacos: $70

Money made from ice cream cones and salted pretzels: 359.5-70 = $289.5

Equation 1:

3x + 2.5y = 289.5

Step 3: Make equation 2

Cost per tacos: $2

Total number of tacos sold: z

Money made from total tacos: $70

2z = 70

z = 35 tacos were sold

Total number of ice cream cones and salted pretzels sold: 140-35 = 105

Equation 2:

x + y = 105

Step 4: Find the unknown value by substitution

3x + 2.5y = 289.5

x + y = 105

Find x in terms of y from equation 2

x + y = 105

x = 105 - y

Substitute x in equation 1

3x + 2.5y = 289.5

3(105-y) + 2.5y = 289.5

315 - 3y + 2.5y = 289.5

0.5y = 25.5

y = 51

y represents the number of salted pretzels sold. Therefore, 51 salted pretzels were sold.

Answer:

160 not 16

Step-by-step explanation:

The area of Triangle K is 4 times the area of Triangle J.

The area of Triangle K can be determined by using the scale factor of 4. Since the scale factor determines how lengths are scaled, the area of a figure is scaled by the square of the scale factor. In this case, the scale factor is 4, so the area of Triangle K will be 4 times the area of Triangle J.

Let's say the area of Triangle J is A. Then, the area of Triangle K will be 4A.

Therefore, the area of Triangle K is 4 times the area of Triangle J.

Answer:

$2.6

Step-by-step explanation:

firstly we find percentage of tax .

(16/400) * 100

= 16/4

= 4 %

now ,

so 4% of 650

= (4*650)/ 100

=260/100

= $2.6

Answer:

the answer is 26 no decimal i got it right on my test.

X=tax on a $650 TV

16/400 = X/650

16*650=400*X

10,400=400*X

10,400/400=X

26=X

Answer:

16.77 hours

Step-by-step explanation:

the new battery lasts 29 percent longer so you multiply 13 × 1.29 and you get

16.77 hours

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Answer:

Solution : x = 2

                y = 3

Step-by-step explanation:

x+y = 2y-x+1=5

x + y = 5   --------> equ 1

2y - x +1 = 5

2y - x   = 5 - 1

2y - x    = 4

-x + 2y = 4--------> equ 2

add equ 1 & equ 2

3y =9

y = 9/3 = 3

Put y = 3 in equ 1

         x + 3 = 5

                x = 5 - 3 = 2

Solution : x = 2

                y = 3

Answer:

[tex]y = \frac{4x}{5}+\frac{42}{5}[/tex]

Step-by-step explanation:

In order for two lines to be parallel, they must have the same slope. So, we know that the slope of the other line is 4/5.

We're given an ordered pair, so we can solve for [tex]b[/tex] in the (slope-intercept form) equation [tex]y = mx + b[/tex]

[tex]2 = \frac{4}{5}(-8) + b\\2 = \frac{-32}{5}+b\\b = 2 + \frac{32}{5}\\  b = \frac{42}{5}[/tex]

[tex]y = \frac{4x}{5}+\frac{42}{5}[/tex]

Answer:

44°

Step-by-step explanation:

bisected means <1 = <2

so just add 22 + 22

Answer:

Step-by-step explanation:

median- 23447

mode- 2579

range-1109766

Answer:

Replace  

F

(

x

)

with  

y

.

y

=

9

x

Interchange the variables.

x

=

9

y

Solve for  

y

.

Tap for more steps...

y

=

x

9

Solve for  

y

and replace with  

F

−

1

(

x

)

.

Tap for more steps...

F

−

1

(

x

)

=

x

9

Step-by-step explanation:

Answer is attached below.

Putting 5.5% 29,000 in a calculator we get 1595 which is the commison he gets.

Another way to get answers for questions like this is to multiply the percantage by the number then divide by 100. in this case,    5.5 x 29,000 / 100 = 1595

Answer:

#4: 2/45 (0.044444...)

#11: 39/250 (0.156)

#12: 2/15 (0.133333)

Answer:

60%,5/8,0.64

Step-by-step explanation:

you covert 64 to 64% and 5/8 to 62.5%

Answer: 150 miles apart

Step-by-step explanation: You do 6 inches x 25 miles and that equals 150 miles.

Answer:

150 miles

Step-by-step explanation:

25*6=150