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To set up a game of billiards, the first player moves the balls contained within a triangular rack as shown. What happens to the distance between each billiard during this rigid transformation?

A. The distance remains constant throughout the transformation.

B. The distance decreases at the start and increases after all motion stops.

C. The distance stays the same at the start but decreasesexactly when motion ends.

D. The distance increases at the start and then decreases as the rack gets further from the player.

Answer: A. The distance remains constant throughout the transformation.

Step-by-step explanation: In a rigid motion, all moving points in the plane are moving in way such tha:

1)  relative distance between them stays the same and

2) relative position of the points stays the same

There are four types of rigid motions: translation, rotation, reflexion and glide reflection.

Translation: every point or object is moved by the same amount and in the same direction;

Rotation: the object rotates by the same amount around a fixed point;

Reflexion: the object exchange points from one side of a line with points on the other side of the line at the same distance from the line;

Glide Reflection: is a mirror reflection followed by a translation parallel to the mirror.

In the game of billiards, because all the balls are inside the triangular rack, the distance, and also the position, between them stays the same, limited by the rack. Since they are moving by the same amount in the same direction, the rigid transformation is a translation.

Therefore, the distance of the balls in the triangular rack remains constant throughout the transformation.

Answer: a rectangles area is length x width. You need to find the numbers that represent the length and the width and multiply them

Step-by-step explanation:

Answer:

y=4/5(x)+10

Step-by-step explanation:

the slope of the line is 4/5 and the y intercept is 10

using the format y=mx+b where m is the slope and b is the y intercept we arrive at the equation

Answer:

d

Step-by-step explanation:

dddddddddddddddddddddddddddd

Answer:

Its Basically A Type of pattern In an Equation that you solve.

for example, X=Y. It's Configured as  a pattern.

Step-by-step explanation:

Answer:

A variable is a unknown number or a unknown value.

Commonly used variables are x and y.

Have a nice day!

Hope this helps!

Answer:

1

Step-by-step explanation:

Common factors of:

18: 1,2,3,6,9,18

54: 1,2,3,6,9,18,27,54

29: 1,29

39: 1,3,13,39

GCF is 1

Answer: See explanation

Step-by-step explanation:

A factor is one of two or more numbers that divides a given number without a remainder.

18: 1, 2, 3, 6, 9, 18

54: 1, 2, 3, 6, 9, 18, 27, 54

GCF of 18 & 54: 18

29: 1

39: 1, 3, 13, 39

GCF of 29 & 39: 1

If you're asking for the GCF of all these numbers, its 1

Answer:

[tex]9^{2} \\80+1\\9+9+9+9+9+9+9+9+9[/tex]

Step-by-step explanation:

Answer:

4.5 miles

Step-by-step explanation:

28x = 126

divide each side by 28

x = 126/28

x = 4.5 miles

Answer:

B. a=10

an=an-1-4

this is the answer

Answer:

     x-5

Step-by-step explanation:

Answer:

So the number of outcomes with exactly 4 tails is 720/2/24 = 15. Finally we can now calculate the probability of getting exactly 4 tails in 6 coin tosses as 15/64 = 0.234 to 3 decimal places

Step-by-step explanation:

hope this helps :)

Answer:

Rational

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

All angles are different.

Internal angles can be acute, obtuse, or right angle.

The smallest side is opposite to the smallest angle and the longer side is opposite to the larger angle.

Step-by-step explanation:

Given - In ΔOPQ, PQ = 17, QO = 9, and OP = 15.

To find - Which statement about the angles of ΔOPQ must be true?

Proof -

As given,

In ΔOPQ, PQ = 17, QO = 9, and OP = 15.

As all the sides of the given triangle is different, So the given triangle is a Scalene triangle.

Now,

We know that , In Scalene triangle -

All sides are different.

All angles are different.

Internal angles can be acute, obtuse, or right angle.

The smallest side is opposite to the smallest angle and the longer side is opposite to the larger angle.

Smallest angle: ∠P

Opposite shortest side.

Middle angle: ∠O

Opposite middle side.

Largest angle: ∠Q

Opposite longest side.

Therefore:

m∠P<m∠O<m∠Q

Less than symbol goes from smallest to largest

Answer:

12 cm is your answer right answer

Answer:

Perimeter of a SQUARE

4 x s

4 x 2.3 = 9.2 cm

Hence the perimeter of the square is 9.2cm

$627.95 × 6.5%

=$40.81675

then:

627.95 + 40.81675

=668.76675

=$668.77

Answer:

Step-by-step explanation:

B

Answer:

[tex]\frac{167}{24}or[/tex] [tex]6\frac{23}{24}[/tex]

Step-by-step explanation:

[tex]9\frac{5}{6} -2\frac{7}{8} =[/tex]

Convert to an improper fraction.

[tex]\frac{59}{6}-\frac{23}{8}[/tex]

Find a common denominator.

[tex]\frac{236-69}{24}[/tex]

Simplify

[tex]\frac{167}{24}=6\frac{23}{24}[/tex]

good luck, hope this helps :)

Answer:

26.7777778 or 26.78 rounded

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

24 - 6 = 18 divided by 2 is 9 so a must be 9

Answer:

Respuesta certificada por un experto

El doble de 0.25 es 0.50. El doble de 0.50 es 1.00.

Step-by-step explanation:

Answer:

Quadrant II and III

Step-by-step explanation:

Given

Point E

[tex]x < 0[/tex] i.e. negative x

and

[tex]y \ne 0[/tex]

Required: Determine the possible quadrant(s) of E

[tex]y \ne 0[/tex]. means that point E belongs to at least 1 quadrant. So, x-axis and y-axis are ruled out

Solving further:

[tex]x < 0[/tex]

The two quadrants where the x coordinates is negative are II and III.

Hence, point E belongs to quadrants II or quadrants III

Answer:

the answer would be -4x

Step-by-step explanation:

dividing (-20xyz) by (5zy) = 3

Answer:

Step-by-step explanation:

Perpendicular (p) = 8

base(b) = 7

Tan A = p/b

tan A = 8/7

A = tan ^-1(8/7)

A = 48.81°

Answer:

k = 4

Step-by-step explanation:

[tex]12=3k\\\frac{12}{3}=\frac{3k}{3} \\4=k[/tex]

Answer:

30.7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Definition of tangent

Apply to the given triangle and solve for MN