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3 years ago

Which sequence of transformations creates triangles that are similar instead of congruent?

Mathematics

2 answers:

Anvisha [2.4K]3 years ago

8 0

Answer:

Option D. dilation and reflection

Step-by-step explanation:

we know that

A reflection, rotation and a translation transformations, creates a triangles that are congruent

A dilation transformation, create a triangles that are similar

therefore

the answer is the option D

alisha [4.7K]3 years ago

7 0

Answer:

D. dilation and reflection.

Step-by-step explanation:

We know that A reflection, rotation and translation transformations create triangles that are congruent A dilation transformation, create triangles that are similar, so the answer is option D

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Please please factor fully.

Alekssandra [29.7K]

Answer: My bad if I butchered any answers. It was hard to read tbh

Step-by-step explanation:

D.) You can only factor out an x here. So you'd get: $x(x^2-2x+4)$

E.) You can factor out a 3x^2y to get: $3x^2y(2-x)$

F.) You can factor out a 3xy to get: $3xy(y+3x-2)$

G.) You can factor out a -4ab to get: $-4ab(a-4b+2)$

4 0

3 years ago

Read 2 more answers

The Students' Conjectures Emily and Zach have two different polynomials to multiply: Polynomial product A: (4x2 – 4x)(x2 – 4) Po

noname [10]

Complete Question:

Emily and Zach have two different polynomials to multiply: Polynomial product A: (4x2 – 4x)(x2 – 4) Polynomial product B: (x2 + x – 2)(4x2 – 8x) They are trying to determine if the products of the two polynomials are the same. But they disagree about how to solve this problem.

Answer:

$A = B$

Step-by-step explanation:

<em>See comment for complete question</em>

Given

$A: (4x^2 - 4x)(x^2 - 4)$

$B: (x^2 + x - 2)(4x^2 - 8x)$

Required

Determine how they can show if the products are the same or not

To do this, we simply factorize each polynomial

For, Polynomial A: We have:

$A: (4x^2 - 4x)(x^2 - 4)$

Factor out 4x

$A: 4x(x - 1)(x^2 - 4)$

Apply difference of two squares on x^2 - 4

$A: 4x(x - 1)(x - 2)(x+2)$

For, Polynomial B: We have:

$B: (x^2 + x - 2)(4x^2 - 8x)$

Expand x^2 + x - 2

$B:(x^2 + 2x - x - 2)(4x^2- 8x)$

Factorize:

$B:(x(x + 2) -1(x + 2))(4x^2- 8x)$

Factor out x + 2

$B:(x -1) (x + 2)(4x^2- 8x)$

Factor out 4x

$B:(x -1) (x + 2)4x(x- 2)$

Rearrange

$B: 4x(x - 1)(x - 2)(x+2)$

The simplified expressions are:

$A: 4x(x - 1)(x - 2)(x+2)$ and

$B: 4x(x - 1)(x - 2)(x+2)$

Hence, both polynomials are equal

$A = B$

3 0

3 years ago

What is the equation in slope-intercept form of a line that is parallel to y=−2x+5 and passes through the point (4, 0)?

katrin [286]

Write the equation of the line parallel to y=2x-5 and passes through the point (2,4). Please help ... We must have slope m=2, and we need to find b the y-intercept. ... b is the y intercept when x=0. Let's plug in the point (2,4) to find b. ... ˆ ˜ ° − ± ÷ ⁄ × ƒ ∫ ∑ ∞ √ ∼ ≅ ≈ ≠ ≡ ∈ ∉ ∋ ∏ ∧ ∨ ¬ ∩ ∪ ∂ ∀ ∃

6 0

3 years ago

Find two consecutive odd integers such that seven times the first equals five times the second.

fredd [130]

Answer:

Odd integers are always one more that an even integer:

1st: 2n+1

2nd: 2n+3

Step-by-step explanation:

14n+7 = 10n+15

4n = 8

n = 2

------------

1st: 2n+1 = 5

2nd: 2n+3 = 7

7x=5*(x+2)

7x=5x+10

7x-5x=10

2x=10

x=5

8 0

3 years ago

The Lamaster family is a family of five people. They have used 4,885.78 gallons of water so far this month. They cannot exceed 7

oksian1 [2.3K]

Let X be the amount of water one person can use.

Multiply that by 5 people to get 5X

That amount plus what they already used ( 4885.78) needs to be less than or equal to the amount they are limited to ( 7250.50 ).

Now write out the equation to get : 5x + 4885.78 ≤ 7250.50

8 0

3 years ago