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Ksenya-84 [330]
3 years ago
5

Rectangle ABCD is congruent to rectangle. Which sequence of transformations could have been used to transform rectangle ABCD to

produce rectangle? A. Rectangle ABCD was rotated 90° clockwise around the origin and then translated 7 units left. B. Rectangle ABCD was rotated 90°counterclockwise around the origin and then reflected across the x-axis. C. Rectangle ABCD was rotated 90° counterclockwise around the origin and then translated 8 units down. D. Rectangle ABCD was rotated 90° clockwise around the origin and then reflected across the y-axis.
Mathematics
1 answer:
il63 [147K]3 years ago
7 0
Rectangle ABCD was rotated 90° counterclockwise around the origin and then translated 8 units down.
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Pentagon RSTUV is circumscribed about a circle. What is the value of x if RS = 10, ST = 13, TU = 11, UV = 12, and VR = 12?
Kobotan [32]

Answer:

Step-by-step explanation:

The value of x is 7 ⇒ 1st answer

Step-by-step explanation:

* Lets revise a fact in the circle

- The two tangents drawn from a point out side the circle are equal

∵ RSTUV is circumscribed about a circle

∴ Each side of the pentagon is a tangent to the circle

- Look to the attached figure to know how we will solve the problem

- Each tangent divided into two parts

# RS = x + y

∵ RS = 8

∴ x + y = 8 ⇒ (1)

# RV = x + n

∵ RV = 12

∴ x + n = 12 ⇒ (2)

- Subtract (2) from (1)

∴ y - n = -4 ⇒ (3)

# ST = y + z

∵ ST = 12

∴ y + z = 12 ⇒ (4)

# TU = z + m

∵ TU = 15

∴ z + m = 15 ⇒ (5)

- Subtract (5) from (4)

∴ y - m = -3 ⇒ (6)

# UV = m + n

∵ UV = 9

∴ m + n = 9 ⇒ (7)

- Add (6) and (7)

∴ y + n = 6 ⇒ (8)

- Lets solve equation (3) and equation (8) to find y

∵ y - n = -4 ⇒ (3)

∵ y + n = 6 ⇒ (8)

- Add (3) and (8)

∴ 2y = 2 ⇒ divide two sises by 2

∴ y = 1

- Lets substitute the value of y in equation (1)

∵ x + y = 8 ⇒ (1)

∵ y = 1

∴ x + 1 = 8 ⇒ subtract (1) from both sides

∴ x = 7

* The value of x is 7

plz mark me as brainlyist thxx

7 0
2 years ago
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It took francisco 60 minutes to walk from his house to his grandmother’s house. what is 60 written as a product of factors great
Tanzania [10]

Answer:

2 × 2 × 3 × 5

Step-by-step explanation:

Given that,

The number = 60

To find,

Factors of 60 greater than 1 = ?

Procedure:

As we know,

Any of various numbers multiplied together to form a whole.

To find the factors of a number, we will have to do its prime factorization.

So,

The prime factorization of 60:

1 * 2 * 2 * 3 * 5 = 60

Since the factors greater than 1 are asked, the factors would be;

2 * 2 * 3 * 5

Thus, 2 * 2 * 3 * 5 is the correct answer.

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2 years ago
Work out the answers of the following:
schepotkina [342]

Answer:

1)-5

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3)1

4)-11

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(-2)-7+4

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3 years ago
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Please help me answer this question.
iVinArrow [24]
4 6/9 + 7/9 = 5 3/9
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Answer:
5 3/9 or 5 1/3
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Which expression is equivalent to 18 1/5-(-22 2/5)-(-40 1/5)?
Minchanka [31]

Answer:

Step-by-step explanation:

D. 18 1/5 +22 2/5 +40 1/5

-(-22 2/5) and -(-40 1/5)    ----->  -*- will become +

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3 years ago
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