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Ilia_Sergeevich [38]
2 years ago
8

The rectangle ABCD shown in the diagram is reflected across the line y = 2. What

Mathematics
1 answer:
kobusy [5.1K]2 years ago
3 0

Answer:

Since you haven't attached the diagram here, I'll go over how to do this in general. In order to reflect the rectangle across the horizontal line drawn at y = 2, consider the number of units of each coordinate from this line of reflection. Now count the same number of units on the other side of the line to plot the coordinates of the reflected rectangle. For example, if point A was at (1, 5), the point A' would then be at (1, -1). Notice that the x-coordinate remains the same.

Hope that answers the question, have a great day!

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A quarter is approximately 0.07 inches thick. A dollar bill is approximately 4.3 × 10-3 inches thick.
nlexa [21]

Answer:

m = 6.57 and n = -2

Step-by-step explanation:

To answer this question you will covert the thickness of a dollar to standard notation and then compare the two values.

0.07 =compared to 0.0043 = 0.0657

0.0657 = 6.57 x 10^-2

A quarter is thicker than a dollar by 6.57 x 10^-2.

m = 6.57 and n = -2

8 0
2 years ago
Alison is saving for retirement. Her company matches what she puts into her 401K in a ratio of 2:3. If she puts in $400 each mon
inessss [21]
Id say B...............
6 0
2 years ago
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A bird sanctuary needs at least 500 lbs of corn per month. The storage shed
Phantasy [73]

Answer:

x≥(500-87)/40

Step-by-step explanation:

You need 500 lbs and already have 87 so you need at least 413 bags. You divide you 40 because they come in 40 pound bags. Round up so that you have the minimum number of bags necessary to reach 500 lbs of corn.

8 0
2 years ago
A sculpture of a clothespin is 20 feet high. A normal clothespin of this shape is five inches high. Using this scale, how many f
kodGreya [7K]
This is the concept of scale factor. The linear scale factor is given by:
(height of sculpture)/(height of clothespin)
=20/(5/12)
=48
Given that a woman is 5ft 7 in, the sculpture of this woman would be:
height of sculpture=(scale factor)*(height of the woman)
height of the woman=5 ft 7 inches=5 7/12 ft=67/12 ft
hence the height of the sculpture will be:
67/12×48
=268 ft

Answer: 268 ft

7 0
2 years ago
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Figure ABCD is transformed to obtain figure A'B'C'D': A coordinate grid is shown from negative 6 to 6 on both axes at increments
nika2105 [10]

Given:

Vertices of ABCD are A(-4,4), (-2,2), C(-2,-1) and D(-4,1).

Vertices of A'B'C'D' are A'(3,-4), B'(5,-2), C'(5,1) and D'(3,-1).

To find:

The sequence of transformations that changes figure ABCD to figure A'B'C'D'.

Solution:

Part A:

The figure ABCD reflected across the x-axis, then

(x,y)\to (x,-y)

Using this rule, we get

A(-4,4)\to A_1(-4,-4)

Similarly, the other points are B_1(-2,-2),C_1(-2,1),D_1(-4,-1).

Then figure translated 7 units right to get A'B'C'D'.

(x,y)\to (x+7,y)

A_1(-4,-4)\to A'(-4+7,-4)=A'(3,-4)

Similarly, the other points are B'(5,-2), C'(5,1),D'(3,-1).

Therefore, the figure ABCD reflected across the x-axis and then translated 7 units right to get A'B'C'D'.

Part B:

Reflection and translation are rigid transformation, it means shape and size of figures remains same after reflection and translation.

Therefore, the two figures congruent.

8 0
2 years ago
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