If the acute angle made by two intersecting lines l and m is 51° and image ABCD is reflected across the line l followed by a reflection across line m, then find the angle through which ABCD is rotated. Question 10 options: A) 25.5° B) 102° C) 26° D) 51°

Answers

Answer 1

Answer:

B) 102°

Step-by-step explanation:

Reflection is an example of transformation in which a given image is flipped over a reference line which changes the orientation of the figure, but not its length and shape. A rotational transformation is formed by two reflections.

In the given question, image ABCD is reflected over lines I, then m at an angle of 51° to each other. Since rotation is twice the acute angle with respect to the center of rotation, therefore ABCD rotates through an angle of 102°.


Related Questions

Are (3x + 1)(x + 2) and 3x2 + 7x + 2 equivalent?​

Answers

Answer:

Yes.

Step-by-step explanation:

(3x + 1)(x + 2)

= 3x^2 + 6x + x + 2

= 3x^2 + 7x + 2.

If fix)=x2-2 and g(x) = x-3, what is(f•g)(x)?
o (f•g)(x) = x +7
o (f•g)(x) = x^2 - 6x+7
o (f•g)(x) = x^2- 3x+7
o (f•g)(x) = x^2 - 5

Answers

Answer:

The last option is correct. (f*g)(x) = x² - 5

Step-by-step explanation:

Since is f * g you have to multiply them together.

x² - 2 * x - 3 (x)

Next ust simplify.

x² -5x

Solve the following equation. Then place the correct number in the box provided.

7x=84

x=?

Answers

Answer:

7x=84

divide by 7

12=x

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

We are looking for the value of x. To find this, we must isolate x on one side. To do this, we can divide by 7 on both sides, leaving us with x=12.

How much time is needed for a boy on roller skates to slow down from 17.4
m/s to 9.11 m/s if he covers 45.0 m?

Answers

Answer:

Step-by-step explanation:

v²-u²=2as

9.11²-17.4²=2a×45

a=-(17.4²-9.11²)/90=-(302.76-82.9921)/90=-219.7679/90 m/s²

v=u+at

9.11=17.4-219.7679/90 t

9.11-17.4=-219.7679/90t

-8.29×90=-219.7679t

t=-746.1/-219.7679≈3.395 s

A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 2, 0, 2, 4, 6. The second column is labeled f of x with entries 0, 2, 8, 2, 0, negative 2.
What are all of the x-intercepts of the continuous function in the table?

(0, 8)
(–4, 0)
(–4, 0), (4, 0)
(–4, 0), (0, 8), (4, 0)

Answers

Answer:

Option C.

Step-by-step explanation:

The given table is

x   f(x)

-4    0

-2    2

0    8

2    2

4    0

6   -2

A graph of a function intersect x-axis if the function contains the points whose y-coordinate is 0.

From the given table it is clear that the value of f(x) is 0 at x=-4 and x=4. It means, the continuous function intersect the x-axis at two point (-4,0) and (4,0).

Therefore, the correct option is C.

Answer:

it is c (-4,0), (4,0)

Step-by-step explanation:

What is the solution to the equation? 5=2/5a

Answers

a = 12.5

2/5 = 0.4
5/0.4 = a

I need help ty i only need the answer

Answers

Answer:

50°

Step-by-step explanation:

90° add 40° makes 130°. 180° minus 130° makes 50°

Answer:

50

Step-by-step explanation:

90+50+40= 180 which is the total of  a right triangle

Kristy ask Lonnie to think add 3 to it multiply the sum by 2 and the subtract 6 let n stand for lonnie starting number which expression represents Lonnie final number?



Answers

Answer:

2(n+3)-6

n=0

Step-by-step explanation:

2(3+n)-6=

Simplifying

2(3 + n) + -6 = 0

(3 * 2 + n * 2) + -6 = 0

(6 + 2n) + -6 = 0

Reorder the terms:

6 + -6 + 2n = 0

Combine like terms: 6 + -6 = 0

0 + 2n = 0

2n = 0

Solving

2n = 0

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Divide each side by '2'.

n = 0

Simplifying

n = 0

In what ways are the sine and cosine graphs different?

Answers

The sine graph is odd so it’s graph is symmetric about the origin. The cosine graph is even so it’s graph is symmetric about the y-axis.

Answer: A cosine graph is the darker curve on a graph. It shifts to the left of the sine curve.  A sine graph is the lighter curve on the graph.

Ok, sorry, I'm back hehe >:3 (Find the volume of a right cone that has the radius of 4 inches and the height of 12 inches) (Again, will give brainliest to first responder, and if CORRECT!) TwT

Answers

Your answer should of been B

At Robin's Snow Cones, the shaved ice portion of the cone is shaped like a perfect sphere with a diameter of 8 cm. Exactly half of the shaved ice sphere extends above the paper cup holder. What is the volume of ice that extends above the cup to the nearest cubic centimeter?

Answers

Answer:

The extended volume of hemisphere to nearest cubic centimeter is V = 134 cm^3

Step-by-step explanation:

- The shaved ice is modeled as a sphere.

- The half of the shaved ice sphere extends above the cup holder.

- The volume of sphere with radius r = diameter d / 2 :

- We are to calculate the volume of the extended part of the sphere with diameter d = 8 cm or radius r = 4 cm.

- The extended volume of hemisphere to nearest cubic centimeter is V = 134 cm^3

                 

                                             Hopes This Helps

Use the function f(x) = 5x^2 + 2x − 3 to answer the questions.
Part A: Completely factor f(x).
Part B: What are the x-intercepts of the graph of f(x)? Show your work.
Part C: Describe the end behavior of the graph of f(x). Explain.
Part D: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part B and Part C to draw the graph.

Answers

A) (5x-3)(x+1)

B) [tex]\frac{-2 \pm \sqrt{4+60}}{10} = \frac35 \text{or} -1[/tex]

C) it gets up really high

D) Plug values in of x to get y and plot!

The concentration determined for an unknown sample of hydrochloric acid by a student is 0.1354 M.According to the instructor’s information, the true molarity (M) of this solution is 0.1364 M. What is the percent error in this experiment? Round your answer to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

S,wow,w,

Find the sum of the first 31 terms of the following series, to the nearest integer.
5,14,23,..

Answers

Answer:

Step-by-step explanation:

5+14 is 19

19+23 is 4242

if a book is 33 hour and 45 min long ,how many days would it take you to read it if you read 4 hours a day.

Answers

Answer:

it would take 8 days

Step-by-step explanation:

all all you have to do is divide 33.45 divided by 4

Answer:

4hrs =33hrs and 45/60

1 day= about 8 days and 1/2

Step-by-step explanation:

pls help help me need help!!

Answers

Answer:

|-30| + |25|

Step-by-step explanation:

The helicopter is 25 ft above the ledge. The stunt actor is 30 below the edge. The distance from the helicopter to the stunt actor is the sum of the two distances, 25 + 30 = 55 ft. The correct expression must equal 55.

A. |-30| + |25| = 30 + 25 = 55

B. -30 - 25 = -55

C. -30 + 25 = -5

D. |-30| - |25| = 30 - 25 = 5

The correct expression is |-30| + |25| since it it the only expression that equals 55.

How does the value represented by the digit 4 in R compare to the value represented by the digit 4 in T?

R = 4,569
T = 3,490

Answers

Answer:

The digit 4 in R has a value of 4,000; the digit 4 in T has a value of 400.

Step-by-step explanation:

In R, there are 4 place values. Going from right to left, we have ones, tens, hundreds and thousands. The 4 is in the thousands place, so its value is 4,000. In T, there are also 4 place values, but the 4 is in the hundreds place, so its value is 400.

the diameter of a circle is 9m. Find the circumference to the nearest tenth (urgent)

Answers

Answer:

Step-by-step explanation:

The answer is 28.27433, or 28.3!

A taxi service charges a flat fee pen $1.25 and $0.75 per mile. If Henry has $14.00 which of the following shows the number of miles he can afford to ride in the taxi?

Answers

Answer:

A. M less than or equal to 17

Step-by-step explanation:

Can someone please help me with this I need help finding x and y using special right triangles and if you could please explain how

Answers

Answer:

y=46.445

x=24.04

Step-by-step explanation:

rule for first triangle which is  right isosceles triangle with angles 30-60-90

sin 30 = opp/hypt.

0.5= opp/34

opp=17 which is the height

the part of y in the first triangle = a^2+b^2=c^2

a^2= 17^2 , b^2=y , c^2 =34

y ( first triangle )= √867=29.445

second triangle is right angle triangle 45-90-45

x= 24.04

sin 45= opp/hypt.

1/√2 =17/x

x= 17*√2 = 24.04

solving for other part of y in the right triangle

h= y = 17

the whole base y= 29.445+17 = 46.445

If a fair die is rolled four times, which of the following is closest to the probability that at least one
roll will show the number 4?*
1) 17%
2) 67%
3) 52%
4) 36%​

Answers

Answer:

Answer is 67%

Step-by-step explanation:

If you want to get the number four from 4 rolls the chances would be

1st roll = 1/6 (16.667%)

2nd roll = 2/6 (33.333%)

3rd roll = 3/6 (50.000%)

4th roll = 4/6 (66.667%)

So the answer is 67%

lindsey completed a 30 point assignment. she eared 21 points what percent did she earn?

Answers

Answer:

Lindsey got 70% on this assignment.

Step-by-step explanation:

21 divided by 30 equals 0.7 which is 70% in percent form.

Answer:

She earned a seventy percent.

Step-by-step explanation:

You set the problem up like  21/30 = x/100.

Then, you cross multiply and you get 30x=2100.

From there, you divide each side by thirty and then you get x = 70.

And that brings you to 70 percent. Hope this helps!

Plz help i hate math obvious​

Answers

Answer:

2) 14 times  3) 210 times

Step-by-step explanation:

2) every second, a monarch butterfly will beat its wings 14 times

3) lets use the following formula

An=A1 +(n-1)d

A15= 14 + (15-1)14

A15= 14+14*14

A15= 14+196

A15= 210

210 times in 15 seconds

pls help help me need help!!

Answers

Answer:

50 feet

Step-by-step explanation:

[tex]\mid -20 \mid +\mid 30\mid = \\\\20+30= \\\\50[/tex]

Hope this helps!

Answer:

50

Because you just a

on the -20 is a abouloute number which its going to be a postive number so i add the 20 + 30

53!
The equation d = is can be used to calculate the density, d, of an object with mass, m, and volume, V. Which is an
equivalent equation solved for V?

Answers

Answer:

V = m/d

Step-by-step explanation:

d = m/V, m = mass and V = volume

We want to solve for V

Multiply each side by V

dV = m/V *V

dV = m

Divide each side by d

dV / d = m/d

V = m/d

if a major sector is 60% of circle whats the measure of central angle

Answers

Answer:

S divided by R = 0

the arc is 5.9 and radius is 3.5329 then the central idea becomes 1.67

Step-by-step explanation:

If a case of chips has 27 bags in it. How many cases would they need for 410 bags of chips?

Equation:

Answers

Answer:

they would need 15 cases for 410 bag of chips

Step-by-step explanation:

410/7= about 15

Help please!!!! It geometry and i have no clue wht im doing

Answers

Step-by-step explanation:

21. supplementary angles (add up to 180°)

22. vertical angles (congruent)

23. vertical angles (congruent)

24. supplementary angles (add up to 180°)

25. supplementary angles (add up to 180°)

26. supplementary angles (add up to 180°)

27. supplementary angles (add up to 180°)

28. supplementary angles (add up to 180°)

29.

(complementary angles)

[tex]4x+3+x-8=90\\5x-5=90\\5x=95\\x=19\\[/tex]

30.

(supplementary angles)

[tex]9x-4+4x-11=180[/tex]  

[tex]13x-15=180\\13x=195\\x=15[/tex]

31.

(vertical angles)

[tex]x-15=60\\x=75[/tex]

32.

(supplementary angles)

[tex]63+11x+2+5x-13=180\\52+16x=180\\16x= 128\\x= 8[/tex]

33.

(complementary angles)

[tex]x+28+6x-15=90\\7x+13=90\\7x=77\\x=11[/tex]

Hope this helps!

Please help will mark brainliest ​

Answers

Answer:

Klm=(k+1)m -(m+1)k

Klm=km+m -mk-k

Klm=m-k

Which algebraic expression represents this phrase? The product of 34 and the number of pounds

Answers

Answer:

D. 34 * p

Multiply them dude...

Answer:

D. 34 · p

Step-by-step explanation:

Product means multiplication, so the product of 34 and p is 34×p or 34·p

Hope this helps,

plx give brainliest

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