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aev [14]
3 years ago
6

Triangle ABC undergoes a series of transformations to result in triangle DEF .

Mathematics
2 answers:
s344n2d4d5 [400]3 years ago
7 0

question 1 is congruent. 2 is not congruent and 3 is congruent

Mrrafil [7]3 years ago
6 0

Answer: 1) Congruent

2) Not congruent

3) Congruent

Step-by-step explanation:

We know that a rigid transformations preserves side-lengths and angle measures of a figure in such a way that the figure doesn't shrink or get enlarger. It creates congruent figures.

  • The three main rigid transformations are:

    a) reflections, b) rotations, c) translations

On the other hand a dilation changes the size of the image when the scale factor is not equal to 1. It does not produces congruent images.

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If x=3 what is the value of y in this equation?
inn [45]

Answer:

\displaystyle \large{y=36}

Step-by-step explanation:

We are given the equation \displaystyle \large{y=12x}. To find y-value when or at x = 3, simply substitute x = 3 in which gives us \displaystyle \large{y=12(3)} then evaluate the value as we obtain the y-value or final answer to the question:

\displaystyle \large{\boxed{y=36}}

If you have any questions about this question or for clarification, do not hesitate to ask in comment!

6 0
2 years ago
Read 2 more answers
8.) A line passes through the points (k, 4) and (3, -6). The line is perpendicular to
amm1812

Answer:

K = 43

Step-by-step explanation:

We'll begin by determining the gradient of the equation 5y + 4x = 8. This can be obtained as follow:

5y + 4x = 8

Rearrange

5y = 8 – 4x

5y = –4x + 8

Comparing 5y = –4x + 8 with y = mx + c, the gradient m is –4

Next, we shall determine the gradient of the line perpendicular to the line with equation 5y = 8 – 4x.

This can be obtained as follow:

For perpendicular lines, their gradient is given by:

m1 × m2 = – 1

With the above formula, we can obtain the gradient of the line as follow:

m1 × m2 = – 1

m1 = –4

–4 × m2 = – 1

Divide both side by –4

m2 = –1/–4

m2 = 1/4

Finally, we shall determine the value of k as follow:

Coordinate => (k, 4) and (3, –6)

x1 coordinate = k

y1 coordinate = 4

x2 coordinate = 3

y2 coordinate = –6

Gradient (m) = 1/4

m = (y2 – y1) / (x2 – x1)

1/4 = (–6 – 4) / (3 – K)

1/4 = –10 /(3 – K)

Cross multiply

3 – K = 4 × –10

3 – K = –40

Collect like terms

– K = – 40 –3

–k = –43

Divide both side by – 1

K = –43/–1

k = 43

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Nine different cones can be made with these three flavor combinations.
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210064050 in word form
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