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MA_775_DIABLO [31]

2 years ago

11

Peter has 6 sweaters, 4 pairs of jeans, and 3 pairs of shoes. how many different outfits can peter make using one sweater, one p

air of jeans, and one pair of shoes?

1 answer:

sdas [7]2 years ago

5 0

The answer is 72 because 6x4x3=72

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JNZ~ KOA. Find the unknown measures

shepuryov [24]

Answer:

<h2>x = 8.5in, y = 17in, r = 28°, s = 62°</h2>

Step-by-step explanation:

If ΔJNZ and ΔKOA are similar, then corresponding sides are in proportion and corresponding angles are congruent.

We have the proportion:

$\dfrac{JN}{KO}=\dfrac{NZ}{OA}=\dfrac{ZJ}{AK}$

and equations:

$m\angle N=m\angle O=90^o\\m\angle Z=m\angle A=28^o\\m\angle J=m\angle K=62^o$

We have:

$JN=8\ in,\ NZ=15\ in,\ KO=4\ in,\ AK=x\ in,\ ZJ=y\ in$

For y we must use the Pythagorean theorem:

$ZJ^2=JN^2+NZ^2\\\\y^2=8^2+15^2\\\\y^2=64+225\\\\y^2=289\to y=\sqrt{289}\\\\y=17\ in$

$\dfrac{JN}{KO}=\dfrac{ZJ}{AK}\to\dfrac{8}{4}=\dfrac{17}{x}$ <em>cross multiply</em>

$8x=(4)(17)$

$8x=68$ <em>divide both sides by 8</em>

$x=8.5\ in$

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Is 1/4a rational number

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Yes 1/4 is a rational number

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