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cestrela7 [59]
3 years ago
5

Each pair of shapes is congruent. Identify a transformation or sequence of transformations that could take one

Mathematics
1 answer:
Tema [17]3 years ago
7 0

Answer:

When one shape can become another using only Turns, Flips and/or Slides, then the two shapes are Congruent. Two shapes are Similar when we need to Resize for one shape to become another (we may also Turn, Flip and/or Slide). So, when one shape can become another using transformation, the two shapes might be Congruent or just Similar?

Step-by-step explanation:

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Graph the line y = kx +1 if it is known that the point M belongs to it: M(1,3)
tigry1 [53]

Answer:

M(x,y) = (1,3) belongs to the line y = 2\cdot x +1. Please see attachment below to know the graph of the line.

Step-by-step explanation:

From Analytical Geometry we know that a line is represented by this formula:

y=k\cdot x + b

Where:

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

k - Slope, dimensionless.

b - y-Intercept, dimensionless.

If we know that b = 1, x = 1 and y = 3, then we clear slope and solve the resulting expression:

k = \frac{y-b}{x}

k = \frac{3-1}{1}

k = 2

Then, we conclude that point M(x,y) = (1,3) belongs to the line y = 2\cdot x +1, whose graph is presented below.

3 0
3 years ago
Please help me please help me help please help me please
erastovalidia [21]

9514 1404 393

Answer:

  6/2

Step-by-step explanation:

The slope is given by ...

  slope = (y2 -y1)/(x2 -x1)

  slope = (13 -7)/(4 -2) = 6/2

__

The value of the slope can be simplified to ...

  slope = 3

6 0
3 years ago
A $22,000 loan was taken out. If $24,805 is due at the end of the loan after being compounded daily at 2.5%, how many
Alex777 [14]

9514 1404 393

Answer:

  4.8 years

Step-by-step explanation:

Solving the compound interest formula for the number of years gives ...

  t = log(A/P)/(n·log(1 +r/n))

where principal P invested at rate r compounded n times per year produces value A after t years.

  t = log(24805/22000)/(365·log(1 +0.025/365)) ≈ 4.800

The loan was for 4.8 years.

3 0
3 years ago
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