Two intersecting lines l and m form an angle of 56° with each other. The reflection of a point (–4, 1) along the line l followed by a reflection along line m will cause a ________ rotation. Question 20 options: A) 180° B) 28° C) 56° D) 112°

Answers

Answer 1

Answer:

D) 112°

Step-by-step explanation:

Reflection is the process in which a given figure is flipped over a given line or point to produce its image. Thus changing the orientation of the initial figure. Rotation involves the turning of a figure with respect to an origin.

The given question involves composition of two reflections on intersecting lines l and m. When a given point or figure is reflected on two intersecting lines, the process is the same as a clockwise rotation of the point or figure twice the intersecting angle.

The reflection of the given point along l and then m will cause a 112° rotation.

Answer 2

Answer: D

Step-by-step explanation: I took the test and got it right! and also if you insert 112 degrees into the equation it is right


Related Questions

Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, -6), B(5, -6), C(5, -2) and D(2, -2). What is the perimeter of rectangle ABCD?

Answers

Answer:

Step-by-step explanation:

Refer the answer of https://brainly.com/question/17115212

Answer:

14 units.

Step-by-step explanation:

Graph all the points on a coordinate grid. Two sides are 4 units each and the other two sides are 3 unites each.

P = 2(l + w)

P = 2(3 + 4)

P = 6 + 8 ← (The distributive property) OR 2(7) ← (Normal way to solve)

P = 14 units and 14 units.

You could also do addition.

P = 3 + 3 + 4 + 4

P = 6 + 8

P = 14 units

Hope this helped!

:

Which expression is correctly written in scientific notation?

A. 398 x 10^1 B. 39.8 x 10^2

C. 3.98 x 10^4 D. .398 x 10^3


Need answer ASAP

Answers

Answer:

C. 3.98 x 10^4

Step-by-step explanation:

We are only allowed one non zero digit before the decimal

A. 398 x 10^1   3 non zero digits

B. 39.8 x 10^2   2 non zero digits

C. 3.98 x 10^4 1 non zero digit

D. .398 x 10^3  0 non zero digits

Answer is C :3.98x10^4

Paul creates the diagram to help him factor 4x2 + x – 5 by using double grouping. His diagram is incomplete. A 2-column table with 2 rows. The labels for the columns and rows are blank. First column entries are 4 x squared, M Subscript 2 Baseline. Second column entries are M Subscript 1 Baseline, negative 5. Which terms should Paul write in squares M1 and M2? 5x and −4x –5x and 4x –2x and 10x 2x and −10x

Answers

Answer:

  5x  and  -4x

Step-by-step explanation:

Paul wants M₁ and M₂ to have a total that is +x, and a product that is -20x². The values of M₁ and M₂ that will do that are ...

  5x  and  -4x

Answer:

A. -5x and 4x

:)

Hope this helps!

Good luck yalls

hi there plz help me

Answers

Answer:

for every 3 tomato plants there will be 1 squash plants

Step-by-step explanation:

9 divided by 3 = 3. That will find the tomatoes

then you have to divide all the other plants by 3. Squash will be the only one with 1 plant per 3 tomato plants.

The answer is B

Answer:

B. Squash

Step-by-step explanation:

There are 9 tomato plants and there are 3 squash plants.

9 ÷ 3 = 3

3 tomato plants = 1 squash plants

3 × 3 = 1 × 3

9 = 3

9 tomato plants = 3 squash plants



Which linear inequality is represented by the graph?

Answers

Answer:

y ≤ (1/2)x + 2

Step-by-step explanation:

Find the equation of the solid line.  It is immediately evident that the y-intercept is (0, 2).  The line also passes through (-4, 0).  Starting at (-4, 0), x (the run) increases by 4 to 0 and y (the rise) increases from 0 to 2.  Thus, the slope of this line is m = rise / run = 2/4, or m = 1/2.

Thus the equation of the line is y ≤ (1/2)x + 2.

can someone help please? i’ll give brainliest

Answers

Answer:

Assuming that t = toppings, then the inequality is 9.25+0.75t ≤ 13.75. Solution is 6.

Step-by-step explanation:

Let's define toppings as [tex]t[/tex].

If the original cost of a pizza is $9.25 and each topping costs $0.75, we can find how much the toppings would cost by multiplying 0.75 by t, the amount of toppings. Adding this to 9.25 would give us the expression needed to find the cost.

[tex]9.25 + 0.75t[/tex]

If you want to spend NO MORE than 13.75, it's ok to spend $13.75, so we write the equation with a ≤ symbol (less than or equal to).

9.25+0.75t ≤ 13.75

Now lets solve the equation.

We can subtract 9.25 from both sides, which gets us

0.75t ≤ 4.5

Now we can divide both sides by 0.75 to isolate t.

t ≤ 6

So, the maximum number of toppings you can order is 6.

Hope this helped!

Answer:

6

Step-by-step explanation:

so default for pizza is 9.25

and toppings vary depending on number so 0.75x

so I guess 9.25+0.75x<=13.75-variable

equation-9.25+0.75x=13.75

solve to get 0.75x=4.5

x is 6 not sure

If f(x)= 2x2 + 3, then f(x - 1)=2x2 + 4x + 5.
True
False

Answers

Answer:

[tex]\boxed{\mathrm{True}}[/tex]

Step-by-step explanation:

[tex]f(x) = 2x^2+3[/tex]

Put x = x -1

[tex]f(x-1) = 2(x-1)^2+3\\f(x-1) = 2(x^2-2x+1)+3\\f(x-1) = 2x^2-4x+2+3\\f(x-1) = 2x^2-4x+5[/tex]

So, it is true.

Answer:

True

Step-by-step explanation:

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. y=-x^2+72x-458 We need to sell each widget at $ ___ in order to make a maximum profit of $ ____

Answers

Answer:

x = $36 , y = $ 838

Step-by-step explanation:

Solution:-

The company makes a profit of $y by selling widgets at a price of $x. The profit model is represented by a parabola ( quadratic ) equation as follows:

                       [tex]y = -x^2 + 72x -458[/tex]

We are to determine the profit maximizing selling price ( x ) and the corresponding maximum profit ( y ).

From the properties of a parabola equation of the form:

                      [tex]y = ax^2 + bx + c[/tex]

The vertex ( turning point ) or maximum/minimum point is given as:

                     [tex]x = -\frac{b}{2a} \\\\x = -\frac{72}{-2} = 36[/tex]

The profit maximizing selling price of widgets would be x = $36. To determine the corresponding profit ( y ) we will plug in x = 36 in the given quadratic model as follows:

                    [tex]y ( 36 ) = - ( 36 )^2 + 72 ( 36 ) - 458\\\\y ( 36 ) = -1296 + 2592 - 458\\\\y ( 36 ) = 838[/tex]

The maximum profit would be y = $838

The baker makes54 biscuits in the morning. Then he makes 26 more in the afternoon.

Answers

Answer:

80 biscuits

Step-by-step explanation:

The question is not a whole question so I am just assuming that the question is how many biscuits were baked the whole day

Hope this helps :)

Complete the table to determine the effect of the number of compounding periods when computing interest. Suppose that is19,000 invested at 3.5% interest for 10yr under the following compounding options. Round answers in the second column to the nearest whole number. Round answers in the last column to the nearest cent.

Answers

Answer: 26801.38

Step-by-step explanation:

The following parameters are given:

The money invested which is

The principal P = 19000 dollars

The rate R = 3.5 %

Period t = 10 years

The formular for amount of money after 10 years will be

A = P( 1 + R% )^t

Substitute all the parameters into the formula

A = 19000( 1 + 3.5/100 )^10

A = 19000 ( 1 + 0.035 )^10

A = 19000 ( 1.035 )^10

A = 19000 × 1.41059

A = 26801.376

A = 26801.38 dollars

What is the length of AB, given that figure ABCD is a rhombus?

A. 12
B. 4
C. 16
D. 8

Answers

Answer:

c

Step-by-step explanation:

D is the answer because a rhombus has four equal sides.

......................................

Answers

Answer:

Towards the left

Step-by-step explanation:

Which equation results from adding the equations in this system? 11 x minus 3 y = negative 17. Negative 4 x + 3 y = negative 18. Negative 7 x = negative 35 Negative 7 x = 35 7 x = negative 35 7 x = 35

Answers

Answer:

7x = -35

Step-by-step explanation:

11x -3y = -17

-4x + 3y = -18

Add the two equations together

11x -3y = -17

-4x + 3y = -18

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

7x + 0y = -35

7x = -35

Answer:

7x=-35

Step-by-step explanation:

describe the y-intercept in terms of knots and rope length

Answers

Answer:

what is the y-intercept sorry i can't help there isn't enough information

Step-by-step explanation:

Please help with these

Answers

Answer: Problem 3. angle 1=78, angle 2=102

Step-by-step explanation:

Every straight line has 180 degrees. 40 +62=102. 180-102 is 78. The unmarked angle in the triangle is 78 degrees. Using that, you can find angle 1. Every triangle has 180. You know two of the angles (78 and 58) so 78+58+angle 1=180. 78+58=136. The missing angle equals 180-136. Angle 1 is 44.

To solve angle 2, keep in mind that there are 180 degrees in a straight line. Angle 1 and 2 make a straight line. Because we know angle 1 is 78, 180-78 equals angle 2. Angle 2 is 102 degrees

Sorry i only did problem 3 but i hope this helped you

Three kids,Nicole,oluwatomi and muna shared 500 in the ratio of 3:2:x respectively.If nicole share is 150,find the value of x​

Answers

Answer: X= 5

Step-by-step explanation:

The ratio 3:2:x may also be written as Nicole:oluwatomi:muna which means that Nicole is 3y olwatomi is 2y and muna is xy. We also know that all their values together add up to 500

Using the information above we can set up an equation:

3y+2y+xy=500. If’s you simplify this equation you get 5y+xy=500

Going onto the next step we know that Nicole’s share is 150. We can set up an equation using this information:

150=3y. After simplifying we know that y=50

So if we go back to our first equation: 5y+xy=500 we can substitute y with 50.

5*50+x*50=500 after we solve this equation we can get the result X=5

50 points plus brainliest if you get the answer right! Compare the results with the theoretical probability of rolling a sum of 7. How does this comparison change as the number of trials increase? Use four of your vocabulary words in your explanation.

Answers

The chance of rolling 7 is infinite, the difference of the rolls would not decrease nor increase

The words I’d use to describe: Infinite, Impossible, plausible and implausible (at the same time)

When rolling two six-sided dice, the theoretical probability of getting a sum of 7 is 6/36 = 1/6 since there are 6 ways to roll a 7 (see the list of sums below) out of 6*6 = 36 outcomes total.

1+6 = 72+5 = 73+4 = 74+3 = 75+2 = 76+1 = 7

The experimental probability is just whatever results you record when you roll the two dice yourself. This will vary person to person. At first, the experimental probability is likely not going to be close to what it theoretically should be. However, as the number of rolls increases, the experimental probability should slowly approach the theoretical value.

3^2x3^5x3^7 In index form

Answers

Answer:

[tex]3^{14}[/tex]

Step-by-step explanation:

Given the expression: [tex]3^2\times 3^5\times 3^7[/tex]

To simplify the expression, we apply the addition law of indices.

Given two index terms with the same base, [tex]a^x$ and a^y[/tex], their product:

[tex]a^x \times a^y=a^{x+y}[/tex]

Therefore, since we have the number 3 as the same base in all the terms:

[tex]3^2\times 3^5\times 3^7 =3^{2+5+7}\\\\=3^{14}[/tex]

Which value of x makes this equation true? 41 + x = 73 Math item stem image CLEAR CHECK 9 32 73 114

Answers

Answer:

32

Step-by-step explanation:

41+x=73

x=73-41

x=32

Find the value of x in each case:

Answers

Answer:

45°

Step-by-step explanation:

The sum of a triangle's angles is 180°.

Let's take the triangle FIG and try to express its angles in function of x.

● < F :

< F +3x = 180 => <F = 180 -3x

● < G :

IK and GH are paralell. IG is crossing them.

x and G are interior alternate angles so they have the same size.

< G = x

● < I :

We khow that < F = 180 -3x and < G = x

< I = 180-(< F + < G )

< I = 180 - ( 180-3x +x)

< I = 180 -(180-2x)

< I = 180 -180 +2x

< I = 2x

■■■■■■■■■■■■■■■■■■■■■■■

< F = 180 -3x

< G = x

< I = 2x

< I + > I + x + 2x = 360

2x + 180-x +3x = 360

4x + 180 = 360

4x = 180

x = 45°

●●●●●●●●●●●●●●●●●●●●●●●

Let's verify :

< F = 180 - 3*45 = 45 °

<G = x = 45°

< I = 2x = 90°

90° +45°+45° = 180°

So it's true.

I need help finding which one is the dependent variable and the independent variable.
Why do grocery stores hire most younger people than older people?

Answers

Are these separate questions? The dependent variable relies or depends on the independent. For example, if the cost of something was 2$ per item then the defendant variable would be the cost because if you have 1,2, or 3 items the cost will change depending on that

Answer:

Younger ppl- Independent variable

Older ppl - Dependent variable

Step-by-step explanation:

Older ppl r old and need more attention and they r usually slow workers......Whereas ypung ppl r active and energetic and can do work a lot faster the old ppl

Dats the only answer dat came into my mind

Hope this helps....

Pls mark my answer as brainliest :)

The circle below has center C. Suppose angle EDF = 84º and DF is tangent to the circle at D.
Find the following. Type your numerical answers (without units) in each blank.

Answers

Answer: [tex]m\overbrace{ED}[/tex]=  168° and ∠ECD =  168°

Step-by-step explanation:

In the given , we have a circle centered at C , ED is a chord and DF is a tangent touching circle at D, ∠EDF = 84°.

Also, CE = CD = radius

⇒ ∠CED = ∠CDE  ---(i)  [angles opposite to equal sides of triangle are equal]

Since radius makes a right angle with tangent.

So, ∠CDF = 90°

⇒ ∠CDE =∠CDF - ∠EDF

⇒ ∠CDE=  90° - 84°

⇒ ∠CDE = 6°

From (i) ∠CED =∠CDE = 6°

In ΔCDE

⇒∠CED + ∠CDE + ∠ECD =  180°

⇒ 6°+6°+ ∠ECD =  180°

⇒ 12°+ ∠ECD =  180°

⇒∠ECD =  180° - 12°

⇒∠ECD =  168°

Since , Angle measure of the central angle is equal to the measure of the intercepted arc.

Therefore m∠ECD = [tex]m\overbrace{ED}[/tex]

⇒[tex]m\overbrace{ED}[/tex]=  168°

Hence,  [tex]m\overbrace{ED}[/tex]=  168° and ∠ECD =  168°

Which of the following theorems verifies that HIJ= KLM?

Answers

Answer:

D

Step-by-step explanation:

We see that one corresponding angle and the hypotenuses of the right triangles are congruent so the answer is HA. (The H stands for hypotenuse and the A stands for angle.)

Answer:

[tex]\boxed{HA}[/tex]

Step-by-step explanation:

The theorem that verifies ΔHIJ ≅ ΔKLM is the HA (Hypotenuse-Angle Theorem) which shows that the hypotenuse and an acute angle are congruent to each other.

=> IJ ≅ LM (Hypotenuse)

=> ∠NIJ ≅ ∠KLM (Acute Angle)

Write an equation (in slope-intercept form) of a line whose slope is 10 and y-intercept is (0,-20)

Answers

Answer:

The answer is

y + 20 = 10( x - 0)

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

From the m is 10

Equation of the line using point ( 0 , - 20) is

y + 20 = 10( x - 0)

Hope this helps you

Add
(5x^4+ 2x^3– 1)+(3x² – 3x + 3)

Answers

Answer:

5x^4+ 2x^3+3x² – 3x + 2

Step-by-step explanation:

(5x^4+ 2x^3– 1)+(3x² – 3x + 3)

Combine like terms

5x^4+ 2x^3+3x² – 3x + 3– 1

The only like terms are the constants

5x^4+ 2x^3+3x² – 3x + 2

Answer:

5x^4 + 2x^3 -3x^2 - 3x + 2

Step-by-step explanation:

Expanding out the brackets:

5x^4 + 2x^3 - 1 + 3x^2 - 3x + 3.

Simplifying gives

5x^4 + 2x^3 - 3x^2 - 3x + 2

Remember you can only add x's together if they have the same power. This makes sense why you can 2 to -1 because they are both the same power of x, x^0. (which equals 1 by default)

Each statement describes a transformation of the graph of y= In x. Which statement correctly describes the graph of y= In(x - 7) + 3?
Α.
It is the graph of y = In x translated 3 units up and 7 units to the left.
B.
It is the graph of y= In x translated 7 units down and 3 units to the right.
C.
It is the graph of y = In x translated 7 units up and 3 units to the right.
D.
It is the graph of y=In x translated 3 units up and 7 units to the right.

Answers

Answer:Answer: THE ANSWER IS

A)

Which an equation of a line that has a y-intercept at (0,0) (create your own slope)

Answers

Answer:

y = 3x

Step-by-step explanation:

Assume a slope of 3

The y intercept is 0

The slope intercept form of the equation is

y= mx+b where m is the slope and b is the y intercept

y =3x+0

y = 3x

When a figure appears to have depth as you look at it, it is called _____________.

Answers

Answer:

Step-by-step explanation:

Three-dimensional, or perspective view

The figure appears to have depth as you look at it, it is called Perception of Depth.

What is depth perception?

Depth perception is the way in which some animals, such as humans, can tell if a object is close or far away from them.

Depth perception is the ability that humans have to perceive depth. With depth perception animals are able to see something in three dimensions. The configuration of the eyes allows animals to see depth.

Having two eyes that is having binocular vision gives animals an accurate sense of depth.

Animals have evolved in such a way that gives us depth perception. In order for animals to survive in a three dimensional world depth perception is vital.

Learn more about depth perception, click;

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Fill in the table using this function rule.
y=-6x-1

Answers

Answer:

5, -1, -7, -31

Step-by-step explanation:

When you plug in x digits you get these numbers.

By substituting different values of x, corresponding values of function y are 5, -1, -7, and -31 obtained as shown in the table.

What is a linear function?

"A linear function is a mathematical expression which, when graphed, will form a straight line. A linear function is a simple function usually composed of constants and simple variables without exponents"

For the given situation,

The function is y=-6x-1.

Substitute the different values of x in function y, to obtain the value of y.

For x = -1,

[tex]y=-6(-1)-1[/tex]

⇒ [tex]y=5[/tex]

For x = 0,

[tex]y=-6(0)-1[/tex]

⇒ [tex]y=-1[/tex]

For x = 1,

[tex]y=-6(1)-1[/tex]

⇒ [tex]y=-7[/tex]

For x = 5,

[tex]y=-6(5)-1[/tex]

⇒ [tex]y=-31[/tex]

The table below shows the values of x and the function y.

Hence we can conclude that by substituting different values of x, corresponding values of function y are obtained as shown in the table.

Learn more about the linear functions here

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Amina sees a discount of 5% on a laptop. She can calculate the amount she has to pay for the laptop using the expression where b is the price of the laptop before the discount. If the price after discount is $494, which number from the set {500, 505, 510, 520, 525} is the value of b? A. $500 B. $505 C. $510 D. $520 E. $525

Answers

Answer:

D. $520

Step-by-step explanation:

A 5% discount means you are paying 95% of the original price.

494 divided by 0.95 = 520

Answer:

d 520

Step-by-step explanation:

a good trick when you have these multiple choice questions especially with percentages with tips and discounts just multiply each answer option by what ever percentage you have and subtract or add what you got on the calculator

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