In parallelogram NPQR if m&NPQ=125° find m&PQR.

Step-by-step explanation:

a scale factor means that every dimension or line in the original object is multiplied with the exact same factor to create a transformed (larger or smaller) new object.

the area of an object (including a simple form like this rectangle) is always the product of 2 dimensions.

that means the scale factor is multiplied in twice creating a squared factor for the area of the new object.

so, yes, therefore the area grows or shrinks with the square of the scale factor.

FYI - following the same reason, the volume grows or shrinks with the power of 3 of the scale factor.

1. k=2

new area = k² × old area = 4 × 12 = 48 square units.

2. k=5

new area = k² × old area = 25 × 12 = 300 square units.

3. k=1

new area = k² × old area = 1 × 12 = 12 square units.

4. k=1/4

new area = k² × old area = 1/16 × 12 = 12/16 = 3/4 square units.

5. k=1.2

new area = k² × old area = (1.2)² × 12 = (12/10)² × 12 = (6/5)² × 12 = 36/25 × 12 or 1.44 × 12 = 432/25 = 17.28 square units.

Answer:

28.8 rounds.

Step-by-step explanation:

Solve this using ratio

---------

15 rounds / 25 minutes

---------

Find out how many rounds per minutes: 25/15

1 round / (5/3) minutes

--------------

48 divided by (5/3) to get rounds now.

---> (48*3)/5 ---> 144/5 ---> 28.8

-----------------

28.8 rounds. So she only completed 28 full rounds as she didn't manage to complete 29 just yet.

Answer:

l.y=4

m.y=-2x+4

n.1x-1

p.x=-4

Step-by-step explanation:

The equations of the lines given in the graph will be,

y = x - 1

y = -2x +4

y = 4

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

For line one the points are:-

( 3,2 ) and ( 1,0)

Slope = ( 0 -2 ) / ( 0 - 3 )

Slope = 1

The equation will be,

y = x + c

0 = 1 + c

c = -1

For line two the points are:-

(0,4) and (2,0),

Slope = ( 0 - 4 ) / ( 2 - 0 )

Slope = -2

The y-intercept will be,

y = mx +c

y = -2x + c

c= 4

The equation can be written as:-

y = -2x +4

The equation of the line parallel to x-axis is,

y = 4

To know more about an equation of the line follow

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Answer:

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Step-by-step explanation:

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Answer:

85/8 = 10.625

= 10.6

Step-by-step explanation:

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Answer:

97.6 in^3

Step-by-step explanation:

find the volume of the cylinder and then find the volume of the cone. the formula for the volume of the cylinder is pi*r^2*h. the formula for the volume of the cone is 1/3*pi*r^2*h. r=d/2=4/2=2, h(cylinder)=8, h(cone)=0.7. now just plug these values into the formulas.

cylinder: pi*2^2*8=100.531

cone: 1/3*pi*2^2*0.7=2.932

cylinder-cone= 100.531-2.932=97.599. round to the nearest tenth to get 97.6

Answer: table 1 is 35 and table 2 is 1.301

Step-by-step explanation:

[tex] \frac{29}{10} = 2 \frac{9}{10} [/tex]

[tex] \frac{329}{100} = 3 \frac{29}{100} [/tex]

[tex] \frac{72}{1000} = \frac{9}{25} [/tex]

[tex] \frac{2}{1000} = \frac{1}{50} [/tex]

I DON'T KNOW IF CORRECT

Answer:

i) 2.9

ii) 3.29

iii) 0.072

iv) 0.002

Step-by-step explanation:

i) 29/10 = 2.9

ii) 329/100 = 3.29

iii) 72/1000 = 0.072

iv) 2/1000 = 0.002

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17 percent because the answer is 16.72 percent but when you round it up you get 17.

Answer:

Step-by-step explanation:

Let H and P represent the number of history and physics textbooks.

We are told that:

1)  H + P = 236/week, and

2)  H = 3P                                     [A disgrace, but that's a different problem]

We can substitute the definition of H in the second equation into the first:

H + P = 236/week

3P + P = 236/week

4P = 236

P =  59

H = 3P, so H = 3*(59) or 177

59 Physics and 177 History books for a total of 236 books sold that week.

Answer:

$4.52 is what they'd need to pay.

Step-by-step explanation:

0.25 x 7 = 1.75

7 - 1.75 = 5.25

100 - 14 = 86

0.86 x 5.25

= 4.515 and round to the nearest hundredth

Answer:

50 cm²

Step-by-step explanation:

We know that PQRS is a paralleogram so we know that RS = PQ.

We also know that ΔPQT and ΔPRS has the same height . The the area is the same, from the area of that we can get 50 cm²

Answer:

21

Step-by-step explanation:

The average rate of change of function f(x) from x = a to x = b is

[tex] \dfrac{f(b) - f(a)}{b - a} [/tex]

Here we have

a = -1

b = 2

f(a) = f(-1) = 1

f(b) = f(2) = 64

[tex] \dfrac{f(b) - f(a)}{b - a} = [/tex]

[tex] = \dfrac{f(2) - f(-1)}{2 - (-1)} = [/tex]

[tex] = \dfrac{64 - 1}{2 + 1} [/tex]

[tex] = \dfrac{63}{3} [/tex]

[tex] = 21 [/tex]

Answer:

88 markers long just take 22 and divide it by .25

[tex]3(8-6j) = 24 - 18j[/tex]

Answer:

I think it is 15 ..............

Answer:

Step-by-step explanation:

Answer:

All of the above

Step-by-step explanation:

Answer:

All of the above

Step-by-step explanation:

Rational numbers that can be expressed as the fraction

It is a integer

a repeating non-terminating decimal

terminating decimal

-275[tex]\frac{1}{2}[/tex] --- this is a integer fraction -- rational

0 -- this is a whole number -- rational

56 --- natural number -- rational

34243.84 -- terminating decimal -- rational

-88/3 -- integer fraction -- rational

therefore all of the above are rational numbers

A = L*w

324 = L*w

324/w = L

P = 2*( L + w)

= 2 * ( 324/w + w)

= 648/w + 2w

= (648 + 2w^2)/w

Answer:

5:3....added = 8

5/8(144) = 720/8 = 90 adults

3/8(144) = 432/8 = 54 children

Answer:

x=42/5

Step-by-step explanation:

Answer:

E. 214

Step-by-step explanation:

Since the other angles of the triangle are congruent, and separated creates 2 right triangles, this means that segment (because i cant put the actual names for some reason) A to F and segment F to B are equal

8x - 37 = 5x + 17

3x = 54

x = 18

Now substitute to check

8(18) - 37 = 5(18) + 17

107 = 107

So if this is true, to find the segment A to B, just add segments A to F and F to B together

107 + 107 = 214

The length of segment AB is 214

Answer:

46

240

Step-by-step explanation:

Substitute the given values for the variables, and evaluate the expressions.

1.

n = -5; m = 4

2n² - m = 2(-5)² - 4 = 2(25) - 4 = 50 - 4 = 46

2.

H = 60; Q = 40; V = 10

HQV/100 = (60)(40)(10)/100 = 6(4)(10) = 240

Answer:

46

240

Step-by-step explanation:

1) Put n = -5 and m = 4 into the equation, you'll then have;

2(-5)²-4

2(25)-4

50-4=46

2) Put H=60, Q=40 and V=10 into the equation, then you'll have that;

(60×40×10)/100

24000/100

=240

Answer: The cost of renting a car from Company A be the same as renting a car from company B in 17.5 miles

Step-by-step explanation:

y=2.30x +15

y=1.90x +22

0.4x +7 Divide 0.4 from both sides

x=17.5

y=2.30(17.5)+15

y=40.25+15

y=40.25-15

y=25.25

Answer:

c) difficult

Step-by-step explanation:

1) w = 14/3

Steps:

1) Multiply the numbers

5w - 8/3 = 4w + 2

2) Add 8/3 to both sides of the equation

5w - 8/3 + 8/3  = 4w + 2 + 8/3

3) Simplify

A. Add the numbers

5w = 4w + 2 + 8/3

B. Add the numbers

5w = 4w + 14/3

4) Subtract 4w  from both sides of the equation

5w - 4w = 4w +14/3 - 4w

5) Simplify

A. Combine like terms

1w = 4w + 14/3 - 4w

B. Multiply by 1

w = 4w + 14/3 - 4w

C. Combine like terms

w = 14/3

2) ( x - 7 ) ( x + 7 )

Steps:

1) Use the sum-product pattern

x² + 7x - 7x - 49

2) Common factor from the two pairs

x (x + 7)  = 7 (x + 7)

3) Rewrite in factored form

(x-7) (x+7)

3) [tex]3x^{4} y^{\frac{3}{2} }[/tex]

Steps:

[tex]9^{\frac{1}{2} }( x^{8} )^{\frac{1}{2} (y^{3} )\frac{1}{2}[/tex]

Answer:

Ture

Step-by-step explanation:

.5/.2 = 2.5

1/.4 = 2.5

1.5/.6 = 2.5

The answers are all the same after we divide each x values to the y values.

Hope this is helpful.

Answer:

True

Step-by-step explanation:

.5/.2 = 3.5

1/.4 = 2.5

1.5/.6 = 2.5

the answer is all the same after we devide each x values to the y values.

Answer:

1 2/3, and -1 2/3

Step-by-step explanation:

Im wondering how old you are, and since you seem young just based off the math you're asked to do, please listen to the explanation and teach yourself this. This skill in particular is SOOO important to the rest of the math world. So since your number line is already divided into thirds, there are two ways you could find your answer. One, you can count 5 thirds away from zero, or two, you could simplify 5/3 from an improper fraction to a mixed number (1 2/3) and find your spot from there. "and the opposite" means not only the point 5/3 Away from zero on the Right, but also 5/3 away from zero on the Left. start from zero again and count the same amount away but in the opposite direction. With negatives it can help to think of how all numbers are just descriptions of how far left or right a number is from zero. i hope this helped lol, negatives are a confusing batch, but they're so so important to math as a whole.