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8.1 Ratio &amp; Proportion

# 8.1 Ratio &amp; Proportion - • a and d are the...

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8.1 Ratio and Proportions Pg 457

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Ratio of a to b The quotient a/b if a and b are 2 quantities that are measured in the same units can also be written as a:b. * b cannot = 0, because the denominator cannot be 0. Always write ratios in simplified form! (reduce the fraction!)
Example: simplify. = ft ft 24 12 ft yd 6 3 in ft 18 6 2 1 = yd ft 1 3 6 9 2 3 = = ft in 1 12 18 72 4 1 4 = =

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Example: the perimeter of an isosceles is 56in. The ratio of LM:MN is 5:4. find the lengths of the sides of the . L M N 5x 4x 5x +5x+ 4x=56 x=4 ) ( 14x=56
Ex: the measure of the ‘s in a are in the extended ratio 3:4:8. Find the measures of the ós of the . 3x+4x+8x=180 15x=180 x=12 Angle measures: 36 o , 48 o , 96 o

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Proportion An equation stating 2 ratios are = b and c are the means

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Unformatted text preview: • a and d are the extremes d c b a = Properties of Proportions • Cross product property-means=extremes 1. If then, ad=bc • Reciprocal Property-(both ratios must be flipped) 2. If , then d c b a = d c b a = c d a b = Example 10(s-5)=4s 10s-50=4s-50= -6s 10 4 5 s s =-s = 3 25 The ratios of the side lengths of ∆ QRS to the corresponding side lengths of ∆ VTU are 3:2. Find the unknown length. Q R S X y V u T 18cm 2cm z w Example cont 333 = y 148 = z 2 3 2 = x x= 3cm a 2 +b 2 =c 2 3 2 +18 2 =y 2 9+324=y 2 333=y 2 y ≈ 18.25cm 2 2 +12 2 =z 2 4+144=z 2 148=z 2 z ≈ 12.17cm 2 3 18 = w w= 12cm Assignment Assignment...
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