Two similar polygons are shown below:

Which transformation was performed on PQRS to form P′Q′R′S′?

a. A dilation factor of 2

b. A dilation factor of 4

c. A dilation factor of 1 over 2

d. A dilation factor of 1 over 4

Step-by-step explanation:

We can find x very easily because the left and right sides are parallel,making the diagonal connecting them a transversal therefore x=33°

To find y we know that the sum of interior angles of a triangle is 180°

y+109°+33°=180°

y+142°=180°

y=38°

Now,

x+38°+z=180

33+38+z=180

z=180-71=109°

Answer:

Distributive Property = 5y+2(y+3)+2

combining like terms = 5y+2+6+2y

Commutative Property = 6y-y+2y+10-4+2

Step-by-step explanation:

The correct matching of the properties will be:

Distributive Property = 5y+2(y+3)+2

combining like terms = 5y+2+6+2y

Commutative Property = 6y-y+2y+10-4+2

Original expression: 5y + 2(y + 3) + 2

Apply the distributive property by multiplying 2 to the terms inside the parentheses:

5y + 2y + 6 + 2

Combine like terms:

(5y + 2y) + (6 + 2)

7y + 8

Rearrange the terms using the commutative property:

(7y + 2y) + (6 + 2)

9y + 8 + 8

Simplifying further, we have:

9y + 16

Therefore, the simplified expression is 9y + 16.

Learn more about distributive property

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Answer:

The process of repeating additions of the same number.

Step-by-step explanation:

multiply using distributive property  ... i think

Answer:

20,since each kilo of rice fills two bags so he i'll have 40 bags.

Answer:

17n=-4 ÷17

n=-0.235

Step-by-step explanation:

prove me wrong

Answer:

21648

3

38

Step-by-step explanation:

(42

3

19

)(513

3

6

)

=

801

19

(513

3

6

)

=

801

19

(513

1

2

)

=

801

19

(10272)

=

822627

38

=21648

3

38

Answer:

No

Step-by-step explanation:

3/4 of 50 is 37.5, so 35 states will not be enough

Answer:

[tex] \frac{29}{2} [/tex]

Answer:

YES IT IS RIGHT.......!

Answer:

a=30  b=30 c= 75

Step-by-step explanation:

By inferring that all triangles are the same measurments, you can easily knock out A and B since it is the same angle that is labeled 30 degrees.

Now to find C you need to know that all angles of a triangle add up to 180 degrees. You also need to know that both bottom angles are the same angle measurement, indicated by the little circle in the angle.

So, For the middle triangle you can create an equation. 30(which was b) + 2c = 180

Subtract 30 from both sides and you are left with:

2c = 150

Divide by 2 on each side:

c= 75

Given:

Multiply: [tex](3x-5)(-x+4)[/tex].

To find:

The simplified product in standard form.

Solution:

We have,

[tex](3x-5)(-x+4)[/tex]

Applying the distributive property, the expression becomes

[tex]=(3x)(-x)+(3x)(4)+(-5)(-x)+(-5)(4)[/tex]

[tex]=(-3x^2)+12x+5x+(-20)[/tex]

On combining like terms, we get

[tex]=-3x^2+(12x+5x)-20[/tex]

[tex]=-3x^2+17x-20[/tex]

Therefore, the simplified product in standard form is [tex]-3x^2+17x-20[/tex].

Answer:

The table is not a straight line.

Step-by-step explanation:

it is curved

hi hi hihiihihihihihihihihiih

Answer:

57 miles

Step-by-step explanation:

342÷6= 57

I hope this helped you out, if it did please mark my answer as brainliest. I will be so grateful.

Answer:

The larger number = 116

Step-by-step explanation:

Let the smaller number = x

Given that one number is 78 more than  another, so

The larger number = x+78

Given that if we add 12 to the  smaller number, the result is 50, so

[tex]x+12=50[/tex]

subtract 12 from both sides

[tex]x+12-12=50-12[/tex]

Simplify

[tex]x=38[/tex]

Therefore,

Thus, the larger number = 116

Answer:

Let C = cost to rent each chairLet T = cost to rent each table 4C + 8T = 732C + 3T = 28 Multiply the 2nd equation by (-2) and then add the equations together   4C + 8T = 73-4C - 6T = -56 2T = 17T = 17/2 = 8.5 Plug this in to the 1st equation to solve for C 4C + 8(17/2) = 734C + 68 = 734C = 5C = 5/4 = 1.25 So the cost to rent each chair is $1.25 and the cost to rent each table is $8.50

Step-by-step explanation:

Answer:

b: 110.43

a:90.34

h:89.99

Step-by-step explanation:

check my image

Answer:

AB = 15 ÷ 2

Step-by-step explanation:

The computation of the AB is shown below;

Given that

AX : XB as AB : AC

AX = 5

XB = 4

AC = 6

AB = x

Based on the above information

We can write as

5 : 4 as to x : 6

ratios can be written as fractions

5 ÷ 4 = x ÷ 6

(4)(x) = (5)(6)

4x = 30

x = 30 ÷ 4

x = 15 ÷ 2

Hence, the AB = 15 ÷ 2

Answer:

The solutions to the quadratic equations are:

[tex]x=\sqrt{13}+3,\:x=-\sqrt{13}+3[/tex]

Step-by-step explanation:

Given the function

[tex]y\:=\:x^2\:-\:6x\:-\:4[/tex]

substitute y = 0 in the equation to determine the zeros

[tex]0\:=\:x^2\:-\:6x\:-\:4[/tex]

Switch sides

[tex]x^2-6x-4=0[/tex]

Add 4 to both sides

[tex]x^2-6x-4+4=0+4[/tex]

Simplify

[tex]x^2-6x=4[/tex]

Rewrite in the form (x+a)² = b

But, in order to rewrite in the form x²+2ax+a²

Solve for 'a'

2ax = -6x

a = -3

so add a² = (-3)² to both sides

[tex]x^2-6x+\left(-3\right)^2=4+\left(-3\right)^2[/tex]

[tex]x^2-6x+\left(-3\right)^2=13[/tex]

Apply perfect square formula:  (a-b)² = a²-2ab+b²

[tex]\left(x-3\right)^2=13[/tex]

[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]

solve

[tex]x-3=\sqrt{13}[/tex]

Add 3 to both sides

[tex]x-3+3=\sqrt{13}+3[/tex]

Simplify

[tex]x=\sqrt{13}+3[/tex]

now solving

[tex]x-3=-\sqrt{13}[/tex]

Add 3 to both sides

[tex]x-3+3=-\sqrt{13}+3[/tex]

Simplify

[tex]x=-\sqrt{13}+3[/tex]

Thus, the solutions to the quadratic equations are:

[tex]x=\sqrt{13}+3,\:x=-\sqrt{13}+3[/tex]

Answer:

1

Step-by-step explanation:

Answer: 3,140 radians per minute.

Step-by-step explanation:

We know that the wheel does 500 revolutions per minute.

This is called the frequency of the wheel, and this is written as:

f = 500 rev/min = 500 RPM

The angular speed (or Angular velocity) is written as

ω = 2*pi*f

And this quantity is in radians/unit of time.

where pi = 3.14

then:

ω = 2*3.14*500 (rev/min)*(rad/rev) = 3,140 rad/min

This means that the angular velocity  (or angular speed) is 3,140 radians per minute.

Answer:

The answer is 52.36

Step-by-step explanation:

got it right on edge ;)

Answer:

20

Step-by-step explanation:

Since 40% of the crew are men, which means n.40=8 n=8/.40 n=20 total number of crew 20 - 8=12 are women.

The number of people in the crew is 20.

Let the number of people in the crew be represented by x.

Therefore, 40% of x will be 8. This can then be written as:

40% of x = 8

40/100 × x = 8

0.4 × x = 8

0.4x = 8

Divide both side by 0.4

0.4x/0.4 = 8/0.4

x = 20

Therefore, the number of people in the crew is 20.

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Answer:

apple

Step-by-step explanation:

Answer:

2) 4/9

Step-by-step explanation:

well when you simplify you will get this awnser.

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{Which expressions have a value of }\mathsf{\dfrac{16}{81}?\ }\large\textsf{Check ALL that APPLY. }[/tex]

[tex]\mathsf{(\dfrac{2}{3})^4}\\\\\mathsf{= \bf \dfrac{2}{3}\times\dfrac{2}{3}\times\dfrac{2}{3}\times \dfrac{2}{3}}\\\\\mathsf{= \bf \dfrac{2\times2\times2\times2}{3\times3\times3\times3}}\\\\\mathsf{2\times2\times2\times2}\\\mathsf{2\times2 = \bf 4}\\\mathsf{4\times4= \bf 16}\\\\\mathsf{\dfrac{\bf 16}{3\times3\times3\times3}}\\\\\mathsf{3\times3\times3\times3}\\\mathsf{3\times3 = 9}\\\mathef{9\times9 = \bf 81}\\\\\mathsf{\dfrac{16}{\bf 81}}\\\\\mathsf{= \bf \dfrac{16}{81}}[/tex]

[tex]\large\text{Option A. could POSSIBLY be your ANSWER}[/tex]

[tex]\mathsf{(\dfrac{16}{3})^4}\\\\\mathsf{= \dfrac{16}{3}\times\dfrac{16}{3}\times\dfrac{16}{3}\times\dfrac{16}{3}}\\\\\mathsf{= \dfrac{16\times16\times16\times16}{3\times3\times3\times3}}\\\\\mathsf{16\times16\times16\times16}\\\mathsf{16\times16= \bf 256}\\\mathsf{256\times256 = \bf 65,536}\\\\\mathsf{\dfrac{\bf 65,536}{3\times3\times3\times3}}\\\\\mathsf{3\times3\times3\times3}\\\mathsf{3\times3 = \bf 9}\\\mathsf{9\times9 = \bf 81}\\\\\\\mathsf{\dfrac{65,536}{\bf 81}}\\\\\mathsf{\bf = \dfrac{65,536}{81}}[/tex]

[tex]\large\text{Option B. CANNOT be your POSSIBLE ANSWER}[/tex]

[tex]\mathsf{(\dfrac{4}{81})^2}\\\\\mathsf{=\dfrac{4}{81}\times\dfrac{4}{81}}\\\\\mathsf{= \dfrac{4\times4}{81\times81}}\\\\\mathsf{4\times4= \bf 16}\\\\\mathsf{\dfrac{\bf 16}{81\times81}}\\\\\mathsf{81\times81=\bf 6,561}\\\\\mathsf{\dfrac{16}{\bf 6,561}}\\\\\mathsf{= \bf \dfrac{16}{6,561}}[/tex]

[tex]\large\text{Option C. CANNOT be your POSSIBLE ANSWER}[/tex]

[tex]\mathsf{(\dfrac{4}{9})^2}\\\\\mathsf{= \dfrac{4}{9}\times \dfrac{4}{9}}\\\\\mathsf{= \dfrac{4\times4}{9\times9}}\\\\\mathsf{4\times4 = \bf 16}\\\\\mathsf{\dfrac{\bf 16}{9\times9}}\\\\\mathsf{9\times9 = \bf 81}\\\\\\\mathsf{\dfrac{16}{\bf 81}}\\\\\\\mathsf{= \bf \dfrac{16}{81}}[/tex]

[tex]\large\text{Option D. could POSSIBLY be your ANSWER}[/tex]

[tex]\mathsf{(\dfrac{1}{81})^1^6}\\\\\mathsf{= u n d e f i n e d\ (also\ known\ as\ 0)}[/tex]

[tex]\large\text{Option E. CANNOT be your POSSIBLE ANSWER}[/tex]

[tex]\boxed{\boxed{\mathsf{Answer:\bf Option\ A. (\dfrac{2}{3})^4} \&\ \bf Option\ D. (\dfrac{4}{9})^2}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

The answer is 0.875.

Step-by-step explanation:

7 / 8 = 0.875.

0.875 x 8 = 7. (To check answer)

Answer: each of two complex numbers having their real parts identical and their imaginary parts of equal magnitude but opposite sign.

Step-by-step explanation:

Answer:

In mathematics, the complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude, but opposite in sign.

Step-by-step explanation:

Answer:

Response Error

Step-by-step explanation:

Step-by-step explanation:

One possible solution would be p being the total gallons of paint needed to buy, 250 in the first box (because 250 square feet per gallon), 250 in the second box (because you have 1 gallon = 250 sq. feet leftover) = 1600 (total)

Answer:

x = 0,-1,-2,1,2

y = -3,-5,-7,-1,1

(0,-3)

(-1,-5)

(-2,-7)

(1,-1)

(2,1)

Step-by-step explanation:

y = 2x - 3

x = 0,-1,-2,1,2

y = ?,?,?,?,?

x = 0

y = 2x - 3

y = 2(0) - 3

y = 0 - 3

y = -3

x = -1

y = 2x - 3

y = 2(-1) - 3

y = -2 - 3

y = -5

x = -2

y = 2x - 3

y = 2(-2) - 3

y = -4 - 3

y = -7

x = 1

y = 2x - 3

y = 2(1) - 3

y = 2 - 3

y = -1

x = 2

y = 2x - 3

y = 2(2) - 3

y = 4 - 3

y = 1

Check:

x = 0,-1,-2,1,2

y = -3,-5,-7,-1,1

(0,-3)

(-1,-5)

(-2,-7)

(1,-1)

(2,1)