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11111nata11111 [884]
3 years ago
5

How does a sequence of translations, reflections, and rotations result in congruent figures?

Mathematics
1 answer:
yaroslaw [1]3 years ago
5 0

Answer:

Rotations, reflections, and translations are isometric. That means that these transformations do not change the size of the figure. If the size and shape of the figure is not changed, then the figures are congruent.

Step-by-step explanation:

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7. 3x + 4(x – 6) – 3(x – 7) (1 point) 4x – 45 4x – 3 10x – 3 10x + 45
charle [14.2K]

Answer:

  4x -3

Step-by-step explanation:

The distributive property applies.

  3x +4(x -6) -3(x -7)

  = 3x +4x +4(-6) -3x -3(-7) . . . . use the distributive property

  = 3x +4x -24 -3x +21 . . . . . . . . simplify

  = x(3 +4 -3) +(-24 +21) . . . . . . . group like terms, use the distributive property again

  = 4x -3 . . . . simplify

3 0
3 years ago
What’s the comparison to 3/25 and 22/25
In-s [12.5K]

Answer:

This is the answer. Hope it helps

Step-by-step explanation:

3/25<22/25

5 0
3 years ago
If f(x)=x2+1, then (f∘f)(x)=
PSYCHO15rus [73]

The resulting composite function (f∘f)(x) is x⁴+2x²+2

When a function is written inside another function, it is known as a composite function

Given the function f(x)=x²+1,

(f∘f)(x) = f(f(x))

f(f(x)) = f(x²+1)

This means we will need to replace x with x²+1 in f(x) as shown:

f(x²+1) = (x²+1)²+1

Expand

f(x²+1) = x⁴+2x²+1+1

f(x²+1) =  x⁴+2x²+2

Hence the resulting composite function (f∘f)(x) is x⁴+2x²+2

Learn more here: brainly.com/question/3256461

3 0
3 years ago
Bryce intended to swim directly across a stream that is 99 meters wide. But the current caused him to arrive at the opposite sho
Misha Larkins [42]

Answer:

101 meters

Step-by-step explanation:

The direct path across the stream and perpendicular to both sides of the stream is one leg of a right triangle. The 20 meter distance on the arriving side of the stream is another leg of the right triangle. The path he actually took is the hypotenuse of the right triangle.

leg 1 = 99 m

leg 2 = 20 m

hypotenuse = ?

We have a right triangle, and we know the lengths of the two legs. We need to find the length of the hypotenuse, so we can use the Pythagorean theorem.

a^2 + b^2 = c^2

99^2 + 20^2 = c^2

9801 + 400 = c^2

c^2 = 10201

c = sqrt(10201) = 101

Answer: 101 meters

6 0
3 years ago
Tue surface area of a right rectangular prism can be found by finding the sum of the area of a right rectangular prism with tue
olga_2 [115]
Anwser is 10cm bc you multiply 10amd 3 then divided it
8 0
3 years ago
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