It’s time to verify that a reflection is a rigid transformation. You’ll begin with the angle measurements. Measure the angles of polygon ABCD and the angles of the reflected image. Record the measure of each angle to the nearest degree.

Answer:

m=1

Step-by-step explanation:

step 1: 8(m + 2) = 3(12 - 4m) remove the parentheses

step 2: 8 m + 2 = 3 12 - 4m move the terms

step 3: 8m+ 12m= 36 - 16 collect like terms and calulate

step 4: 20m=20 divide both sides

solution: m=1

Answer:

m = 1

Step-by-step explanation:

To solve for m, we will have to get m by itself on one side, with some value on the other side.

8(m + 2) = 3(12 - 4m)

Distribute the 8 on the left side and the 3 on the right side.

8m + 16 = 36 - 12m

Add 12m to both sides.

20m + 16 = 36

Subtract 16 from both sides.

20m = 20

Divide both sides by 20.

m = 1

So now we have the answer m = 1.

I hope you find my answer helpful.

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{2 {x}^{2} + 5x + 2}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{(2x + 1)(x + 2)}[/tex]

Use distributive property

[tex] \longrightarrow{ \sf{2x(x + 2) + 1(x + 2)}}[/tex]

[tex] \longrightarrow{ \sf{2 {x}^{2} + 4x + x + 2}}[/tex]

Collect like terms

[tex] \longrightarrow{ \sf{2 {x}^{2} + 5x + 2}}[/tex]

Hope I helped!

Best regards! :D

Answer:

30

Step-by-step explanation:

Now, if you are multiplying 6 times the absolute value of -5 you should get an answer of 30. Since the absolute value of -5 is 5.

Answer: slope=-1, y-intercept=(0,-4)

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

first you have to find the slope of the original question

2x+2y=-8

2y= -8 -2x

y= -4-x

slope = -1

to find the perpendicular slope you flip it and multiply by -1

-1 -> -1 *-1 -> 1

Answer:

1,600

Step-by-step explanation:

This is the answer because:

1) First, rewrite the expression with the given numbers

Equation: (5)(8)^2

2) Then, we do 5 times 8 which is 40

3) Finally, 40^2 equals to 1,600 because 40 times 40 is 1,600

Hope this helps!

Answer:

This is really simple, look:

Step-by-step explanation:

If you want to find the unit prize for a dozen cupcakes, and the dozen is 27.00 dollars, you only have to do this:

27 divided into 12

because the unit prize is just basically the price of 1 cupcake

the answer would be 2.25 each

Answer:

32

Step-by-step explanation:

First, you have to multiply -40 by 4 which gives you -160. After that, divide -160 by -5 which equals positive 32

Answer: how many more advertisements were ordered on Friday than Thursday

Step-by-step explanation:

Answer:

05.

Step-by-step explanation:

trust me dude i just took this question :D

The probability of taking out lavender and a rose-perfumed candle with replacement is 0.15 so option (D) will be correct.

Probability is also called the chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.

Do not take underestimate probability it has several uses in daily life whether forecasts or like that.

Total number of candles = 12 + 8 + 20 = 40

Probability = desire/total

So,

Probability of taking lavender first = number of lavender/total

⇒ 12/40 = 0.3

Now since we again put the lavender into the lot it means all things remain the same.

Probability of rose-perfumed second = number of rose-perfumed /total

⇒ 20/40 = 0.5

Now the probability of A and B is the multiplication of the probability of A and B individually.

So,

The probability of taking out lavender and a rose-perfumed candle

⇒ 03 × 0.5 = 0.15

Hence "The probability of taking out lavender and a rose-perfumed candle with replacement is 0.15".

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Answer:

n=32

Step-by-step explanation:

1/2n=11+5

1/2n= 16

n= 16*2

n=32

Answer:

[tex]n=32[/tex]

Step-by-step explanation:

[tex]-5+\frac{1}{2}n=11[/tex]

Add 5 to both sides:

[tex]-5+\frac{1}{2}n+5=11+5[/tex]

[tex]\frac{1}{2}n=16[/tex]

Multiply both sides by 2:

[tex]2\times\frac{1}{2}n=16\times2[/tex]

[tex]n=32[/tex]

Answer: not congruent

Step-by-step explanation:

To know if CD and EF are congruent, you need to use the distance formula to find CD and EF. If the distance is the same, then they are congruent.

Distance formula: [tex]d=\sqrt{(x_{2}-x_1)^2+(y_2-y_1)^2}[/tex]

CD

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

[tex]d=\sqrt{(0)^2+(8)^2}[/tex]                                           [exponent]

[tex]d=\sqrt{0+64}[/tex]                                                   [add]

[tex]d=\sqrt{64}[/tex]                                                         [square root]

[tex]d=8[/tex]

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

EF

[tex]d=\sqrt{(-8-(-3))^2+(2-2)^2}[/tex]                      [parenthesis]

[tex]d=\sqrt{(-5)^2+(0)^2}[/tex]                                        [exponent]

[tex]d=\sqrt{25+0}[/tex]                                                  [add]

[tex]d=\sqrt{25}[/tex]                                                        [square root]

[tex]d=5[/tex]

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

After finding the distance of CD and EF, we can say that they are not congruent. The line CD is 8 units long and line EF is 5 units long. Therefore, they are not congruent.

Answer:

8

Step-by-step explanation:

Let the number be n

6*n = 16 + 4*n

6n = 16 + 4n

6n - 4n = 16

2n = 16

2n/2 = 16/2

n = 8

Answer:

Jacob forgot to use the distributive property in the 1st step

Step-by-step explanation:

Jacob should've got 5x+10-7=3x+5 for the 2nd row.

Jacob should be more careful when distributing the numbers, and make sure to distribute into every term inside the parentheses.

An equation is an expression that shows the relationship between two or more numbers and variables.

Given solution is

5(x+2)-7=3x+5

5x+2-7=3x+5

5x-5=3x+5

5x-5+5=3x+5+5

5x=3x+10

5x-3x=3x-3x+10

2x=10

x=5 5[(5)+2]-7=3(5)+5

5(7)-7=3(5)+5

35-7=15+5

28=20

Here we can see that the correct distribution of 5(x+2) would be 5x + 10.

Because Jacob distributed 5 into x correctly and got 5x, however he did not distribute the 5 into 2 properly. It should have been 10.

Jacob should be more careful when distributing the numbers, and make sure to distribute into every term inside the parentheses.

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Answer:

k=4

Step-by-step explanation:

-60 = -15k

-60÷-15= -15k÷-15

-60÷-15=k

-60÷-15=4

k=4

-60=-15k

-60= -15(4)

Answer:

Step-by-step explanation:

Rays that share a common endpoint but continues infinitely in opposite directions is called opposite rays

Answer:

Hehe did did dodndosnsod fofmfomdixnsis

Step-by-step explanation:

Nsisndidndisnsidnsi293883 ownsie

Answer:

the speed of the wind is 11 and the speed of the plane at still air is 2

i think      

Step-by-step explanation:

Answer:

f(-3)= 5

Step-by-step explanation:

f(x) = 2x+1   f(-3)  -3 is the input.

     = 2(-3)+1

     = -6+1

f(-3) = -5

Hope this helps :)

Answer:

n=5

x= 23

p= 4

Step-by-step explanation:

What this wants us to do is find the value of the variable first, then find the measurement of the degrees.

So, for the first equation we need to make an equation.

Since the angles are vertical angles, that means they equal each other.

The equation would be.. 8n=9n-5.

Step 1- Move variable to the left hand side and change its sign

8n-9n= -5

Step 2- Collect like terms

-n= -5

Step 3- Change signs on both sides of the equation

n=5

So, now that we know what the variable is, substitute it into the equations.

8(5)= 40    9(5)-5= 40

For the second equation, the angles equal 180 degrees.

So, that would give us the equation.. 6x+19+x= 180.

Step 1- Add the common variables

(6x+x)+19= 180

7x+19= 180

Step 2- Subtract 19 from both sides.

7x+19= 180

   -19    -19

7x= 161

Step 3- Divide both sides by 7

7x= 161

7     7

x= 23

So, now that we know what the variable is, substitute it into the equations.

6(23)+19= 157

157+23= 180

Finally for the last equation, they are vertical angles, so they equal each other.

So, the equation would be 5p+28= 12p.

Step 1- Move the variable to on side.

5p+28= 12p

-5p         -5p

28= 12-5p

Step 2- Subtract the variables

28= 7p

Step 3- Divide by 7 to both sides.

28= 7p

7     7

p= 4

So, now that we know what the variable is, substitute it into the equations.

5(4)+28= 48

12(4)= 48

Hope this helps!! :)

Answer:

B

Step-by-step explanation:

In 45 45 90 triangles the ratio is a:a:a root 2 so the answer would be 3root 2/2 or c because when multiplied again by root 2 it will get you 3.

Answer:

(9,9)

Step-by-step explanation:

The question above was not written properly

Complete Question

Lacey and Haley are rewriting expressions in an equivalent, simpler form.

a. Haley simplified x³⋅ x² and got

x⁵

Lacey simplified x³ + x² and got the same result! However, their teacher told them that only one simplification is correct. Who simplified correctly and how do you know?

b. Haley simplifies 3⁵⋅ 4⁵ and gets the result 12^10, but Lacey is not sure.

Is Haley correct? Be sure to justify your answer.

Answer:

a) Haley is correct, Lacey simplified wrongly.

b) Haley is incorrect

Step-by-step explanation:

a. Haley simplified x³⋅ x² and got

x⁵

Lacey simplified x³ + x² and got the same result! However, their teacher told them that only one simplification is correct. Who simplified correctly and how do you know?

For Question a, when it comes to simplifying algebraic expression that has to do with powers, there are certain rules that should be followed.

For example

x^a × x^b = x^(a + b)

For Haley, she simplified x³⋅ x² and got

x⁵

She is correct because this follows the product rule of powers or exponents above

= x³⋅ x² = x³+² = x⁵

For Lacey she is wrong because:

x³ + x² ≠ x⁵

x³ + x² when simplified as quadratic equation = x²(x + 1)

b. Haley simplifies 3⁵⋅ 4⁵ and gets the result 12^10, but Lacey is not sure.

Is Haley correct? Be sure to justify your answer.

For question b, when we have two distinct or different numbers with the same power(exponents) the rule states that:

x^a × y^a = (x × y)^a = (xy)^a

Haley is simplified wrongly. She did not apply the rule above

Haley simplified 3⁵⋅ 4⁵ = (3 × 4) ⁵+⁵

= 12^10, this is wrong.

The correct answer according to the rule =

3⁵⋅ 4⁵ = (3 × 4) ⁵ = 12⁵

Therefore,

3⁵⋅ 4⁵ ≠ 12^10

3⁵⋅ 4⁵ = 12⁵

Haley is wrong.

Answer:b

Step-by-step explanation:

Answer:

negative

Step-by-step explanation:

Answer:

Positive 1

Step-by-step explanation:

The point-slope formula is y=mx+b with m representing the slope. In this equation you don't see a m but that is because m=1 so it does not have to be written.  

Answer:

The square route of 0.45 is 0.7.

Step-by-step explanation:

the option closest to the square root of 0.45 is option B. 0.55

To find the square root of 0.45, we can use a calculator or estimate it using a method like the Newton-Raphson method.

Calculating the square roots of the answer choices:

A. √0.65 ≈ 0.806

B. √0.55 ≈ 0.742

C. √0.35 ≈ 0.592

D. √0.25 = 0.5

Comparing these values to the square root of 0.45, one can see that the closest approximation is: B. 0.55

Therefore, the option closest to the square root of 0.45 is option B, 0.55.

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see options below

A. 0.65

B. 0.55

C. 0.35

D. 0.25

Answer: There are several information's of immense importance already given in the question. Let us write them down first.

Diameter of the cylinder = 6 inches

Then

Radius of the cylinder = 3 inches.

Height of the cylinder = 3 * radius

                                  = 3 * 3

                                  = 9 inches

Volume of the cylinder = (pi) * (Radius)^2 * Height

                                   = 3.14 * (3)^2 * 9

                                   = 3.14 * 9 * 9

                                   = 254.34 cubic inches