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7nadin3 [17]
3 years ago
12

Here are two rectangles.

Mathematics
1 answer:
creativ13 [48]3 years ago
8 0

Answer:

\frac{Area \:of\: rectangle\: A}{Area \:of\: rectangle\: B} =\frac{4}{3}

Step-by-step explanation:

Let the length of rectangle A be x units.

So, length of rectangle B

= x + 25% of x

= x + 0.25x

= 1.25x

Let the width of rectangle A be y units

So, Width of rectangle B

= \frac{3}{5}\times x\\=0.6x

Area of rectangle A = xy

Area of rectangle B

= 1.25x * 0.6y

= 0.75xy

\frac{Area \:of\: rectangle\: A}{Area \:of\: rectangle\: B} =\frac{xy}{0.75xy}\\\\\frac{Area \:of\: rectangle\: A}{Area \:of\: rectangle\: B} =\frac{1}{0.75}\\\\\frac{Area \:of\: rectangle\: A}{Area \:of\: rectangle\: B} =\frac{100}{75}\\\\\red{\bold{\frac{Area \:of\: rectangle\: A}{Area \:of\: rectangle\: B} =\frac{4}{3}}} \\\\

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PLEASE I NEED HELP ASAP
Annette [7]

The coordinates of the vertex that A maps to after Daniel's reflections are (3, 4) and the coordinates of the vertex that A maps to after Zachary's reflections are (3, 2)

<h3>How to determine the coordinates of the vertex that A maps to after the two reflections?</h3>

From the given figure, the coordinate of the vertex A is represented as:

A = (-5, 2)

<u>The coordinates of the vertex that A maps to after Daniel's reflections</u>

The rule of reflection across the line x = -1 is

(x, y) ⇒ (-x - 2, y)

So, we have:

A' = (5 - 2, 2)

Evaluate the difference

A' = (3, 2)

The rule of reflection across the line y = 2 is

(x, y) ⇒ (x, -y + 4)

So, we have:

A'' = (3, -2 + 4)

Evaluate the difference

A'' = (3, 4)

Hence, the coordinates of the vertex that A maps to after Daniel's reflections are (3, 4)

<u>The coordinates of the vertex that A maps to after Zachary's reflections</u>

The rule of reflection across the line y = 2 is

(x, y) ⇒ (x, -y + 4)

So, we have:

A' = (-5, -2 + 4)

Evaluate the difference

A' = (-5, 2)

The rule of reflection across the line x = -1 is

(x, y) ⇒ (-x - 2, y)

So, we have:

A'' = (5 - 2, 2)

Evaluate the difference

A'' = (3, 2)

Hence, the coordinates of the vertex that A maps to after Zachary's reflections are (3, 2)

Read more about reflection at:

brainly.com/question/4289712

#SPJ1

8 0
1 year ago
Deshaun took 2 5/8 hours to clean the bathroom. Then took 1/4 hours to clean the den . How much total time did deshaun take to c
natulia [17]

Answer:

2.875 hours 2 5/8 plus 1/4 equals 2.875

7 0
3 years ago
I need this Please help me
ANEK [815]

9514 1404 393

Answer:

  (c)  Not parallel: corresponding angles are not congruent

Step-by-step explanation:

The two angles shows are both "east" of the respective points of intersection, so are "corresponding" angles. If (and only if) lines r and s are parallel, corresponding angles are congruent. These angles have different measures, so lines r and s are not parallel.

4 0
3 years ago
Given the parent functions f(x) = 3x 2 and g(x) = 5x − 10, what is g(x) − f(x)? (2 points)
Assoli18 [71]
$\begin{align} g(x)-f(x)&=(5x-10)-(3x+2)\\&=(5x-3x)+(-10-2)\\&=\boxed{2x-12} \end
8 0
3 years ago
-3x -4y = 20 x - 10y =16 if (x, y) is the solution to the system of equations above what is the value of x?
balu736 [363]
Multiply first equation by -5 and 2nd by 2, add them

15x+20y=-100
<u>2x-20y=32 +</u>
17x+0y=-68

17x=-68
divide both sides by 17
x=-4
 

the x value is -4
6 0
3 years ago
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