MATHEMATICS MIDDLE SCHOOL

Are the two figures in the image congruent? Are they similar? What does this tell you about the geometric transformations you will need to transform one of these polygons into the other?Describe a series of at least two similar transformations that will transform polygon ABCDE into ΔA’B’C’D’E’: here is more than one way to transform polygon ABCDE into polygon A’B’C’D’E’.

Describe a second sequence of transformations that will accomplish this goal. Explain what tool you used as an aid in identifying a transformation sequence.
Are the two figures in the image congruent? Are they - 1

Answers

Answer 1
Answer:

Answer:

yes they are congruent

Step-by-step explanation:

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Suzanne is 64 inches tall. What is Suzannes height in feet and inches

Answers

After the unit conversion of the given data, its height of Suzanne will be equal to 5 feet 4 inches.

What is Unit conversion?

Multiplying or dividing by a numeric number, or more specifically, a correction factor is a procedure comprising several steps known as conversion. Rounding and choosing the appropriate number of significant digits may also be necessary steps in the procedure.

As per the data available in the question,

As we know,

1 foot = 12 inches

64 ÷ 12 = 5 Feet

And the remainder is 4 which means that an extra 4 inches

So, her height must be 5 feet and 4 inches.

To know more about Unit conversion:

brainly.com/question/19420601

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There's 12 inches in 1 foot.

64 ÷ 12 = 5 with a remainder of 4

Suzanne is 5 foot 4 inches.

Hope this helps.

Rationalize the denominator of square root of negative 49 over open parentheses 7 minus 2 i close parentheses minus open parentheses 4 plus 9 i.

Answers

sqrt(-49) / [ (7-2i) - (4+9i) ]

= 7i / (3 - 11i)

= 7i (3+11i) / [ (3 - 11i) (3 + 11i) ]

= (21 i - 77) / (9 + 121) = choice (d), (-77 + 21i) / 130

For the past 5 months Kaia's gift shop had these profits or losses: –$120, $85, –$60, –$35, and $40. What was her average profit or loss for these five months?

A.
Her average loss was $68 per month.

B.
Her average loss was $18 per month.

C.
Her average profit was $18 per month.

D.
Her average profit was $68 per month.

Please Help!!!!! Thank You!

Answers

(-120+85-60-35=40)/(5) = -18

Answer= B. Average loss of $18 per month

Mr and Mrs Baker place 12-inch rulers along the length of a rug. They each line up 3 rulers along the edge of the rug. What is the length of the rug? about__feet

Answers

3 Feet
12 inches= 1 foot
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Find the angular velocity in radians per second of a wheel turning at 25 revolutions per minute.

Answers

(25 rev/minute) x (2 pi radian/rev) x ( minute / 60 sec) = 2.618 rad/sec (rounded)
1 revolution= 2π radians= 6,28 radian
1 minute= 60 s
25 rev=50π=157 radian

(25)/(1)* (6,28)/(60)=2,62 (rad)/(s)

Can someone please help? Thank you!

Answers

Answer:

(2x(5x+1))/(4x-1)

Step-by-step explanation:

Given expression:

((4x^3-12x^2)/(4x^2+7x-2))/((2x^2-6x)/(5x^2+11x+2))

Consider the numerator and the denominator separately.

Numerator:

(4x^3-12x^2)/(4x^2+7x-2)\n \n=(4x^2(x-3))/(4x^2+8x-x-2)\n \n=(4x^2(x-3))/(4x(x+2)-(x+2))\n \n=(4x^2(x-3))/((x+2)(4x-1))

Denominator:

(2x^2-6x)/(5x^2+11x+2)\n \n=(2x(x-3))/(5x^2+10x+x+2)\n \n=(2x(x-3))/(5x(x+2)+(x+2))\n \n=(2x(x-3))/((x+2)(5x+1))

The whole expression:

((4x^3-12x^2)/(4x^2+7x-2))/((2x^2-6x)/(5x^2+11x+2))\n \n \n=((4x^2(x-3))/((x+2)(4x-1)))/((2x(x-3))/((x+2)(5x+1)))\n \n \n=(4x^2(x-3))/((x+2)(4x-1))\cdot ((x+2)(5x+1))/(2x(x-3))\n \n \n=(2x(5x+1))/(4x-1)
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