Triangle A'B'C' is a rotation of triangle ABC by 60 degrees using Q as the center.
Select ALL statements that MUST be true.
-Angle ABC is 60 degrees.
-Angle AQA' is 60 degrees.
-Points C and C' coincide.
-Triangles ABC and A'B'C' are congruent.
-Angle ABC is congruent to angle A'B'C'
-Segment BC is congruent to segment B'C'
-Segment BQ is congruent to segment C'Q.
-Segment AQ is congruent to segment A'Q.

Answers

Answer 1

9514 1404 393

Answer:

  see below

Step-by-step explanation:

When a figure is rotated about a center point, the central angle formed by any point on the figure and the corresponding image point will be the rotation angle. Every image point is the same distance from the center of rotation that the pre-image point was. No lengths or angles are changed: rotation is a "rigid motion", so the rotated figure is congruent with the original.

__

-Angle AQA' is 60 degrees.

-Triangles ABC and A'B'C' are congruent.

-Angle ABC is congruent to angle A'B'C'. (this is one of the angles of the congruent triangles)

-Segment BC is congruent to segment B'C'

-Segment AQ is congruent to segment A'Q.


Related Questions

Martha and her brother started their own car-washing business. They charge $8.50 per car. If they wash on average 22 cars per weekend, use front-end estimation to find out about how much their business will earn in 5 weeks. A. $800 B. $1000 C. $1200 D. $1350

Answers

Answer:

$1,000

Step-by-step explanation:

Given that:

Charge per car = $8.50

Averahe car washed per weekend = 22

Using front end estimation, how much will business earn in 5 weeks ;

Hence amount earned per weekend :

22 * $8.50 = $187

Using front end estimation :

$187 - - -> $200

$200 * number of weeks

($200 * 5) = $1,000

Answer:

$1,000

Step-by-step explanation:

I know because I took the test.

HELPPPP PLEASSEEEEEE!!!

Answers

Answer:

Answer:

b2 = 2A/h - b1

Step-by-step explanation:

Can you please help me with this please.... I’ve been posting these questions over and over and nothing...

Snorkel, mask, and flippers
Slope:

Snorkel, mask, and flippers
y-intercept:

Snorkel, mask, and flippers
Slope intercept form:

Answers

Answer:

Step-by-step explanation:

Snorkel, mask, and flippers Slope: 2 (so in the equation, it would look like 2x).

Snorkel, mask, and flippers Y-intercept: 10 (12 - 2 = 10, which is 0 hours, possibly the initial amount)

Snorkel, mask, and flippers Slope intercept form: y = 2x + 10

Math question please answer

Answers

It would have to be the 3rd answer

How can you tell if there will be more than one solution for the geometric means?

Answers

Answer: because there are different methods to it and different solutions.

Step-by-step explanation:

solve for -6=2(p+10)+-8

Answers

Answer:

-9

Step-by-step explanation:

hope this helpshchxjxjx

Answer:x=-9

Step-by-step explanation:

2.3a + 0.8a
how do i solve this

Answers

Answer:

2.3a + 0.8a =

2.3

+ 0.8

________

3.1

________

So therefore, 2.3a + 0.8a = 3.1a

write an equation for each quadratic function whose graph is shown​

Answers

Answer:

9. y=5[tex]x^{2}[/tex]

10. y=2/3[tex]x^{2}[/tex]

11. y=1/10[tex]x^{2}[/tex]

12. y=-1/4[tex]x^{2}[/tex]

Step-by-step explanation:

9. Use vertex form (y=a(x-h)^2+k) and insert the vertex (0,0) as (h, k).

y=a(x-0)^2 +0

Substitute the x and y values for the given point on the graph, (-1, 5)

5=a(-1-0)^2+0

Solve for a.

5=a(-1)^2

5=a

Substitute a in vertex form and solve for general form (ax^2 +bx+c)

y=5[tex]x^{2}[/tex]

Use this method to find the rest of the equations.

Is 2.01 less than 2.2

Answers

Answer:

Yes, 2.01< 2.20

Step-by-step explanation:

Yes, because 2.01 is equal to 2 and 1/100 while 2.2 is equal to 2 and 20/100

Hope this makes sense. In short, yes 2.01 is less than 2.2

Evaluate. 5/8−(14)2= ________

Answers

Answer:

exact form -219/8

Decimal form - -27.375

Mixed number form - -27 3/8

Write the equation in terms of x.
2x + a =p

Answers

I think it’s x= p/2-a/2

Solve the system of equations using any method. 2X – Y + Z = – 2, 6X + 3Y – 4Z = 8, – 3X + 2Y +3Z = – 6

Answers

Answer:

Z = - 2, Y = 0, X = 0

Step-by-step explanation:

2X – Y + Z = – 2

6X + 3Y – 4Z = 8

– 3X + 2Y +3Z = – 6

isolate "X" in the first equation

2X - Y + Z = - 2 => isolate "2X"

2X = - 2 - Z + Y => divide either side by 2

X = - 1 - Z/2 + Y/2

substitute this value of X in the second two equations (applying the substitution method here)

6(- 1 - Z/2 + Y/2) + 3Y - 4Z = 8,

6Y - 7Z - 6 = 8

- 3(- 1 - Z/2 + Y/2) + 2Y +3Z = - 6,

Y + 9Z + 6/2 = - 6

isolate Y in the second equation (6Y - 7Z - 6 = 8) and substitute in the third equation (Y + 9Z + 6/2 = - 6)

6Y - 7Z - 6 = 8 => isolate 6Y

6Y = 14 + 7Z => divide either side by 6

Y = 7Z + 14/6 => substitute in second equation

7Z + 14/6 + 9Z + 6/2 = - 6 => solve for Z

61Z + 50/12 = - 6, Z = - 2

substitute the value of Z into the equations "Y = 7Z + 14/6" and using the value of Y and Z, substitute into "X = - 1 - Z/2 + Y/2"

Y = (7(- 2) + 14)/6 = 0 / 6

= 0

X = - 1 - (- 2)/2 + 0/2 = - 1 - (-1) + 0

= - 1 + 1 + 0 = 0

In the United States 13 out of every 20 cans are recycled what percentage of cans are recycled

Answers

Answer:

65%

Step-by-step explanation:

13/20 are recycled

We want a percent, which is out of 100

Multiply the top and bottom by 5

13*5 = 65

20*5 =100

65/100 = 65%

Answer:

65%

Step-by-step explanation:

I took the test

Jason kicked a soccer ball that was lying on the ground. It was in the air for 3 seconds before it hit the ground again. While the soccer ball was in the air it reached a maximum height of 30 ft. The height of the ball while in the air is the function of time.

Answers

Answer:

a) The domain is 0 < t < 3

The range is 0 < s < 30

b) The x-intercept are the times at the start and return of the ball to the ground

The y-intercept, is the starting height of the ball = 0

c) The axis of symmetry is the line t = 1.5, and the maximum function is the value of the height at the vertex of the parabola, they represent the turning point of the function

d) The rate of change of the function is therefore given by the derivative of function which is;

ds/dt  = d(14.715×t - 1/2×9.81×t²)dt = 14.714 - 9.81×t which is the velocity of the ball at time t

∴ ds/dt = 14.714 - 9.81×t

Which is the velocity of the ball at time t

Step-by-step explanation:

The duration the soccer ball was in the air = 3 s

The maximum height reached by the soccer ball = 30 ft.

Considering the vertical motion of the ball, we have;

v = u - gt

s = u·t + 1/2·g·t²

v² = u² - 2×g×s

Where;

v = The final velocity of the ball = 0 m/s

u = The initial velocity of the ball

g = The acceleration due to gravity = 9.81 m/s²

s = The height the ball reaches = 30 ft

Given that the time to maximum height = Half the total time it was in the air, we have;

v = u - gt

v = 0 at maximum height

u = gt = 9.81 × 3/2 = 14.715 m/s

The vertical velocity = 14.715 m/s

Therefore, we have;

s ≈ 14.715×t - 1/2×9.81×t²

a) The domain is 0 < t < 3

The range is 0 < s < 30

b) The x and y-intercept are;

x-intercept, s = 0, gives;

0 ≈ 14.715×t - 1/2×9.81×t²

From which we have, t = 0 or t = 3, which are the times at the start and return of the ball to the ground

The x-intercept are the times at the start and return of the ball to the ground

The y-intercept, t = 0, gives;

s = 14.715×t - 1/2×9.81×t² = 14.715×0 - 1/2×9.81×0 = 0

Therefore, at the time t = 0 the ball is lying on the ground, height = 0

∴ The y-intercept, is the starting height of the ball = 0

c) The axis of symmetry is the line t = 1.5, and the maximum function is the value of the height at the vertex of the parabola

They represent the turning point of the function

d) The rate of change of the function is therefore given by the derivative of function which is;

ds/dt  = d(14.715×t - 1/2×9.81×t²)dt = 14.714 - 9.81×t

∴ ds/dt = 14.714 - 9.81×t

Which is the velocity of the ball at time t.

Jubal wrote the four equations below. He examined them, without solving them, to determine which equation has no solution. 7 x + 1 = 7 x+ 1. 3 x + 2 = 3 x minus 2. 4 x + 1 = 3 x + 8. Negative 2 x minus 1 = negative 2 x minus 1. Which of Jubal's equations has no solution? 7 x + 1 = 7 x+ 1 3 x + 2 = 3 x minus 2 4 x + 1 = 3 x + 8 negative 2 x minus 1 = negative 2 x minus 1

Answers

Given:

Four equations are

[tex] 7 x + 1 = 7 x+ 1[/tex]

[tex]3 x + 2 = 3 x-2[/tex]

[tex]4 x + 1 = 3 x + 8[/tex]

[tex]-2x-1 = -2 x-1[/tex]

To find:

Without solving which equation has no solution.

Solution:

We know that, in an equation

1. No solution : When variable terms are same but constants are different.

2. Unique solution : When variable terms are different.

3. infinitely many solution : When variable terms and constants are same.

In first and fourth equations, terms on left sides are equal to the terms on the right side. So, LHS = RHS for any value of x.

Therefore, these two equations (first and fourth) have infinitely many solutions.

In second equation, variable terms are same on both sides, but the constants are difference. So, LHS ≠ RHS for any value of x.

Therefore, the second has no solutions.

In third equation, coefficient of x are difference on both sides.

So, this equation has unique solution.

Therefore, Jubal's equations [tex]3 x + 2 = 3 x-2[/tex] has no solution. Hence, the correct option is B.

Answer:

D

Step-by-step explanation:

Which of the equations shown have infinitely many solutions?
Select all that apply
A 3x - 1 = 3x + 1
B. 2x - 1 = 1 - 2x
C3x - 2 = 2x - 3
D. 3(x - 1) = 3x - 3
E. 2x + 2 = 2(x + 1)
E 3(x - 2) = 2(x-3)

Answers

Answer:

D. 3(x-1) = 3x-3

Step-by-step explanation:

I'm sure that's the answer

Answer:

D and E

Step-by-step explanation:

Which is a rational number?
-15/4
-7/9
4 with a rational sign?
pi

Answers

Answer:

All are rational numbers I guess

Step-by-step explanation:

NoTE : I'm not sure

Answer:

For the first one its 7/9 ig

(3y-1)^5 written in standard form please help!!!!

Answers

Answer:

Step-by-step explanation:

[tex](3y-1)[/tex]

[tex](3y-1)*(3y-1)*(3y-1)*(3y-1)*(3y-1)[/tex]

[tex]243y^5-405y^4+270y^3-90y^2+15y-1[/tex]

One local radio station plays a commercial every 6 minutes. Another local radio station plays a commercial every 9 minutes. Both radio stations just played commercials. How many minutes will pass before both local radio stations play commercials again at the same time?

Answers

Answer:

18 mins

Step-by-step explanation:

give me an example of irrational between 4 and 5​

Answers

Answer:

√17, √18,√19,√20,√21,√22,√23 ,√24

Step-by-step explanation:

Daisy purchases a gym membership. She pays a signup fee and a monthly fee of $14. After 4 months, she has paid a total of $69. Use a linear equation in point-slope form to find the signup fee. Solve the problem using an equation in point-slope form.
What is the sign up fee

Answers

Answer:

The signup fee is $13

Step-by-step explanation:

we know that

The equation in point slope form is equal to

where

m is the slope or unit rate of the linear equation

(x1,y1) is a ordered pair of the line

Let

x -----> the number of months

y -----> the total cost of a gym membership

In this problem we have

The slope of unit rate is equal to

The ordered pair is

substitute

----> equation in point slope form

Convert to slope intercept form

---> equation in slope intercept form

The y-intercept is the signup fee (value of y when the value of x is equal to zero)

therefore

The signup fee is $13

Step-by-step explanation:mark me brainliest pls

Find negative square root of 16 . (4 points) −4 4 ±4 −8

Answers

Answer:

-4

Step-by-step explanation:

GIVING BRAINLIEST i hate math :(

Answers

Answer:

i think somebody invented math just so he could torture people

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

what is the unit rate of (0,0) and (12, 16)
A) 0.25 cm/s
B) 0.33 cm/s
C) 0.75 cm/s
D) 1.33 cm/s

Answers

To integers between eight is six and seven

To integers between eight is six and seven c

Solve for the variable in the following proportion

m/1/3 = 10/1 2/3

50
2
5
3/5

please help?​

Answers

Answer:

the answer is 5

Step-by-step explanation:

simplify and expand (X+3)(x-3)(3x+3)

Answers

Answer:

3x^3 + 3x^2 - 27x - 27

Step-by-step explanation:

Answer:    3x^3 + 3x^2 - 27x - 27

===============================================

Work Shown:

(x+3)(x-3)(3x+3)

(x^2-9)(3x+3) .... difference of squares rule

y(3x+3) .... let y = x^2-9

y*3x + y*3 .... distribute

3x( y ) + 3( y )

3x( x^2 - 9 ) + 3(x^2 - 9) .... plug in y = x^2-9

3x*x^2 + 3x*(-9) + 3*x^2 + 3*(-9) .... distribute

3x^3 - 27x + 3x^2 - 27

3x^3 + 3x^2 - 27x - 27

Wage per hour $11.13.

3 hours per day of work.

Takes 44.93 (45) hours of work to get $500.

For your birthday, you received $50 in gifts from family and friends. Write an equation and solve, letting h represent hours, to find how many hours you will have to work to save the $500 with the $50 in gifts based on your hourly wage. How many weeks is that?

Answers

Answer:

It will be about fourteen days or two weeks to save that much while only working 3 hours each day for every day of the week

Step-by-step explanation:

Triangle A has side lengths 2, 3, and 4. Triangle B has side lengths 4, 5, and 6. Is Triangle A similar to Triangle B?

Answers

Answer:

No, you would need it to have the same multiples: for example, Triangle A has 2,3,4 so Triangle B would have 4,6,8

Step-by-step explanation:

I hope that makes sense!


Find the measure of DCH.

Answers

Answer: angle DCH = 129 degrees

===================================================

Work Shown:

Angles DCH and PCF are congruent because they are vertical angles.

angle DCH = angle PCF

5h+94 = 7h+80

94-80 = 7h-5h

14 = 2h

2h = 14

h = 14/2

h = 7

angle DCH = 5h+94

angle DCH = 5*7+94

angle DCH = 35+94

angle DCH = 129 degrees

angle PCF = 7h+80

angle PCF = 7*7+80

angle PCF = 49+80

angle PCF = 129

We get the same result for both angles, which confirms the correct h value.

evaluate the expression x+9, if x=8

Answers

Answer:

17

Step-by-step explanation:

x+9

if x=8 you would substitute x for 8 making the equation

8+9 = 17

therefore, the answer is 17.

Other Questions
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