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KengaRu [80]
3 years ago
11

7. Which transformation is not an isometry?

Mathematics
1 answer:
Neko [114]3 years ago
5 0
<h3>Answer: Choice B</h3>

Explanation:

Choice A is a reflection. Choice C is a rotation. Reflections and rotations are isometries because they preserve the same shape and size of the original figure. Translations are the third type of isometry.

Choice B is not an isometry. It looks like an extra point is added along with extra line segments. The before and after figures are completely different.

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Use​ Gauss's approach to find the following sums​ (do not use​ formulas). 1+3+5+7+...999
muminat
S=1+3+5+\cdots+995+997+999
S=999+997+995+\cdots+5+3+1
\implies 2S=(1+999)+(3+997)+(5+995)+\cdots+(995+5)+(997+3)+(999+1)

2S=\underbrace{1000+1000+\cdots+1000+1000}_{500\text{ times}}

(We are adding 500 instances of 1000 because that's how many odd numbers there are between 1 and 1000, inclusive.)

2S=500\times1000=500000
\implies S=250000
4 0
3 years ago
Solve the equation 1/6(x - 5) = 1/2(x + 6)
Semmy [17]

Answer:

-23/2

Step-by-step explanation:

x-5=3(x+6)

x-3x=18+5

-2x=23

x=-23/2

5 0
2 years ago
What is the slope of the line passing through the points (-1,-7) and (-9,-2)?
nalin [4]

Answer: m = -5/8

Step-by-step explanation:

The general equation for slope is rise over run, also known as:

m=(y2-y1)/(x2-x1)

From the points (x, y), we can get all the variables we need.

(-1, -7) gives us x1 = -1 and y1 = -7

(-9, -2) gives us x2 = -9 and y2 = -2

If we plug all the values in, we get:

m = (-2 - (-7))/(-9 - (-1))

m = (-2 + 7)/(-9 + 1) the negatives cancel

m = (5)/(-8)

m = -5/8

7 0
3 years ago
Find the distance between the points ( – 7, – 6) and (1,9). If necessary, round your answer to the nearest tenth.
Kay [80]
The distance would be 17.

all you need to do is plug the points into the distance formula.
7 0
2 years ago
What are the 3 angle measures in the triangle shown below
7nadin3 [17]

9514 1404 393

Answer:

  B.  39°, 106°, 43°

Step-by-step explanation:

The sum of angle measures in a triangle is 180°. Then the sum of angle expressions will be 180.

  (3x +1) +(11x -4) +(5x -7) = 180

  19x -10 = 180 . . . . . collect terms

  19x = 190 . . . . . . . . add 10

  x = 10 . . . . . . . . . . . divide by 19

__

Then the three angle measures are ...

  • 3·10 +1 = 31
  • 11·10 -4 = 106
  • 5·10 -7 = 43

The appropriate choice is ...

  B.  31°, 106°, 43°

6 0
2 years ago
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