Dilation ( effects of changing dimensions on perimeter and area)

Mathematics

1 answer:

Archy [21]3 years ago

4 0

The answer is C) 64in.

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Divide 30 in a ratio of 3:2

Sergeeva-Olga [200]

$Other\ method:\\\\x;y-searches\\\\ \left\{\begin{array}{ccc}x+y=30&|subtract\ y\ from\ both\ sides\\x:y=3:2\end{array}\right\\\left\{\begin{array}{ccc}x=30-y&(1)\\\frac{x}{y}=\frac{3}{2}&(2)\end{array}\right\\\\subtitute\ (1)\ to\ (2):\\\\\frac{30-y}{y}=\frac{3}{2}\ \ \ \ |cross\ multiply\\\\(3)(y)=(2)(30-y)\\3y=60-2y\ \ \ \ |add\ 2y\ to\ both\ sides\\5y=60\ \ \ \ |divide\ both\ sides\ by\ 5\\\boxed{y=12}$

$Put\ the\ value\ of\ y\ to\ (1):\\x=30-12\\\boxed{x=18}\\\\Answer:\boxed{\left\{\begin{array}{ccc}x=18\\y=12\end{array}\right\to18:12}$

4 0

3 years ago

Read 2 more answers

The figure shows Polygon ABCD and some of its transformed images on a coordinate grid:

Black_prince [1.1K]

Based on the fact that the Polygon ABCD was translated, then the polygon that is a translation of it will be Polygon 3.

<h3>What polygon is the translation of Polygon ABCD?</h3>

When a shape is translated, it is taken as it is from one area of the coordinate plane, to another area of the plane.

This means that it doesn't change in height, or orientation.

The only polygon that still looks like Polygon ABCD is Polygon 3 which means that it is the translated version.

Find out more on transformations at brainly.com/question/4289712

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