Solve each of the following right triangles. Round angle measures to the nearest degree and segment lengths to the nearest tenth
. Angle C is the right angle of the triangle
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The constant of proportionality,m, is 3 (option B)
For two ratios to form a proportion they have to be equal.
To see if two ratios are equal we express them in their simplest form.
In this case we notice that in the first ratio both numbers are multiples of five, then:
In the second case we notice that both numbers are multiples of 2, then:
Since both ratios can be simplified to the same final ratio, they form a proportion.