How do you find the center of dilation and scale factor in geometry?

Answers

Answer 1
Answer:

Answer:

See below

Step-by-step explanation:

Centre of dilation

Dilation gives you a new shape that is either larger or smaller than the original.

In either case, every ray that  passes through corresponding points of the two shapes will converge at the centre of dilation (Point O in the diagram).

Scale factor

To get the scale factor, you measure the ratio of lengths of corresponding sides in the  shapes.

For example, a line in the red figure below may be four times as long as the corresponding line in the other.

If the dilation converts the blue shape into the red one, the scale factor is 4:1.

If the dilation converts the red shape into the blue one, the scale factor is 1:4.

Answer 2
Answer:

Answer:Dilation scale factor 2: Starting with ΔABC, draw the dilation image of the triangle with a center at the origin and a scale factor of two. Notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). Dilation with scale factor 2, multiply by 2.


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Angles C and E are supplementary. The M>C = 112 and M>E = (3x + 50) Solve for X.

Answers

Answer:

The value of x is 6

Step-by-step explanation:

we know that

If two angles are supplementary, then their sum is equal to 180 degrees

so

In this problem

m∠C+m∠E=180°

we have

m∠C=112°

m∠E=(3x+50)°

substitute and solve for x

112°+(3x+50)°=180°

3x+162=180

3x=180-162

3x=18

x=6

Whats the answer i realy need help

Answers

what’s the question

Answer: 7/2

Step-by-step explanation: y is rise and x is run just count from one point to another count from point x to point y

1.43 x (-19/37)
Explain.

Answers

\boxed{1.43 *  (\ -19)/(\ 37) =}  \n\n  \n \boxed{ (-27.17)/(37) \approx - 0.7343}
1.43x( (-19)/(37) ) ⇒(1.43*(-19))/(37)(-27.17)/(37)0.734

matt, ricky, and sam had a pushup contest. Matt did 63 pushups and Ricky did 8 less than Matt. How many did Sam do?

Answers

Well, you subtract 63-8 thatll give you 55 so thats how mamy sam did

What is 11 3/5 - 5 19/20

Answers

11 3/5 - 5 19/20

58/5 - 5 19/20

58/5 - 119/20

113/20

= 5.65


I hope that's help ! If you have question(s) please let me know


It is 5 13/20 u need common denominators

Hector has a rectangular garden that measures 13 m wide by 15 m long. He wants to increase the area to 255 m2 by increasing the width and length by the same amount. What will be the length (longer dimension) of the new garden?

Answers

let x be the length loner
(15+x)*(13+x)=255
x^2+28x+195=255
x^2+28x-60=0
( x-2)(x+30)=0
x=2 or x=-30 (rejected)
Therefore the length longer is 2 m