1. The number a is 4/5 of the number b. What part of number a is number b?

1 answer:

7 0

Writing some equations out might help!

1) You know that a is 4/5 of b. This can be written as: $a = \frac{4}{5} b$ .
To find what b is equal to, multiply both sides by 5/4: $\frac{5}{4}a = b$ .
A is 5/4 B.

2) You know that a is 1/5 smaller than b. This can be written as: $a = b - \frac{1}{5}$ .
To find b, just add 1/5 to both sides: $a + \frac{1}{5} = b$ .
B is 1/5 bigger than a.

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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).

MAXImum [283]

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 $x = 6$ & $kx = 7.2$