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elena-14-01-66 [18.8K]
3 years ago
11

The figures are similar ,find Z .

Mathematics
2 answers:
lutik1710 [3]3 years ago
8 0
The answers idk sjeialalallalsls
amm18123 years ago
3 0

Answer:

Z= 5ft

Step-by-step explanation:

14/7 is equal to 2 so I divided 10/2 to get 5.

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Triangle ABC is being dilated with the center of dilation at the origin. The image of C, point C' has coordinates of (7.2, 3.6).
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General Idea:

When we are given a point P(x, y) centered at origin with a scale factor of k, then the dilated point will be given by P' (kx, ky)

Applying the concept:

In the diagram given, the coordinate of C is (6, 3). Triangle ABC is being dilated with the center of dilation at the origin. The image of C, point C' has coordinates of (7.2, 3.6).

If C (x, y) centered at origin with a scale factor of k, then the dilated point will be given by C' (kx, ky)

We know x = 6 & kx = 7.2

Substituting 6 for x in the equation kx = 7.2, we get 6k = 7.2.

Dividing 6 on both sides\frac{6k}{6}=\frac{7.2}{6}

Simplifying fractions on both sidesk=1.2

Point A from the diagram is (-3, 3)

x-coordinate of A' = kx=1.2 * -3 = -3.6

y-coordinate of A' = ky =1.2*3=3.6

Point A' is given by (-3.6, 3.6)

Conclusion:

<u>Scale factor of dilation is 1.2</u>

<u>The coordinates of point A' is (-3.6, 3.6)</u>

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