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scZoUnD [109]
2 years ago
14

Which statements are true about reflections? Check all that apply.

Mathematics
1 answer:
maria [59]2 years ago
7 0

Answer:

A, B, C, D, F

Step-by-step explanation:

<em>A. An image created by a reflection will always be congruent to its pre-image. </em>

Congruent means identical or similar. The orientation, size, and shape of the pre-image are not changed after a reflection- therefore, the pre-image and image are congruent.

<em>B. An image and its pre-image are always the same distance from the line of reflection.</em>

When a pre-image is flipped across the line of reflection, both figures are perfectly symmetrical. Nothing has changed aside from orientation and location on the graph. The number of units between the figures and the line of reflection should remain unchanged.

<em>C. If a point on the pre-image lies on the line of reflection, the image of that point is the same as the pre-image.</em>

When you reflect a pre-image with a point that lies on the line of reflection, that point will stay on the line of the reflection as the rest of the figure is flipped.

I will explain these two answers together since they have similar explanations.

<em>D. The line of reflection is perpendicular to the line segments connecting corresponding vertices.</em>

<em>F. The line segments connecting corresponding vertices are all parallel to each other.</em>

In a reflection, the horizontal or vertical (depending on the line of reflection, y-axis or x-axis) coordinates are altered. However, if one were to draw an imaginary line connecting the corresponding vertices, both the image and pre-image are parallel and perpendicular.

I hope this helped, good luck on your work/test!

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1)An employee’s hourly raise went up from 10$ per hour to 12$ per hour. What is the rate of increase?
Step2247 [10]
1- went up 20%

2- went up 7%


Hope this helps:)
4 0
3 years ago
Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 4 inches, and the larger gear has a ra
pychu [463]
Draw a diagram to illustrate the problem as shown below.

When the smaller gear rotates through a revolution, it sweeps an arc length of
2π(4) = 8π inches.

Part 1
The same arc length is swept by the larger gear. The central angle of the larger gear, x, is
7x = 8π
x = (8π)/7 radians = (8π)/7 * (180/π) = 205.7°

Answer: 205.7° (nearest tenth)

Part 2
When the larger gear makes one rotation, it sweeps an arc length of 
2π(7) = 14π inches.
If the central angle for the smaller gear is y radians, then
4y = 14π
y = 3.5π radians = (3.5π)/2π revolutions = 1.75 revolutions

Answer:
The smaller gear makes 1.75 rotations

7 0
3 years ago
This is hard please help!!!
liq [111]

Answer:

6 and 1/3

Step-by-step explanation:

the only thing gets reduced is the fraction part and 5 and 15 have common numbers in 5 5 goes into 5 one time and 5 goes into 15 3 times. so it's 6 1/3

4 0
2 years ago
Alice tyre pressure gauge shows a reading which is 8% lower than actual pressure
olasank [31]

Answer:

30.8936

Step-by-step explanation:

Pressure guage reading is 8% lower than tbe actual pressure.

Therefore, for a tyre with guage pressure, 33.58 ;

The actual pressure of tyre would be :

Guage pressure - 8% of guage pressure

33.58 - (0.08 * 33.58)

33.58 - 2.6864

= 30.8936

Actual pressure = 30.8936

3 0
3 years ago
If the leading coefficient of a polynomial function is positive, the graph will go
Greeley [361]

Step-by-step explanation:

the leading coefficient means the coefficient (factor) of the term with the highest exponent of the variable (typically x).

with sufficiently large values of this variable (x - going far enough to the right) this term will "win" in value against any other term of the polynomial expression.

and therefore the sign of its factor (coefficient) will determine, if the curve will go up or down.

a positive factor (coefficient) will make the value of this term and therefore of the whole polynomial larger and larger, making the curve going up to +infinity.

a negative factor (coefficient) will make the value of this term and therefore of the whole polynomial smaller and smaller (more negative and more negative), making the curve going down to -infinity.

7 0
1 year ago
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