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aleksandr82 [10.1K]
3 years ago
6

Mrs.Connners went to a shopping mall with $250 in her wallet. At the store, she bought a coat and spent 3/5 of the money she had

in her wallet. How much money, in dollars, did she pay for the coat?
Mathematics
2 answers:
denpristay [2]3 years ago
7 0

Answer:

$150

Step-by-step explanation:

$250 ÷ 5 = 50

50 · 3 = 150

LenKa [72]3 years ago
3 0

Step-by-step explanation:

step 1. 250(3/5) = 50(3) = 150.

step 2. She spent $150 for the coat.

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[see below]

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Triangle JKL has vertices J(2,5), K(1,1), and L(5,2). Triangle QNP has vertices Q(-4,4), N(-3,0), and P(-7,1). Is (triangle)JKL
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Yes they are

Step-by-step explanation:

In the triangle JKL, the sides can be calculated as following:

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             => JK = \sqrt{(1-2)^{2} + (1-5)^{2}  } = \sqrt{(-1)^{2}+(-4)^{2}  } = \sqrt{1+16}=\sqrt{17}

  • J(2;5); L(5;2)

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  • K(1;1); L(5;2)

             =>  KL = \sqrt{(5-1)^{2} + (2-1)^{2}  } = \sqrt{4^{2}+1^{2}  } = \sqrt{1+16}=\sqrt{17}

In the triangle QNP, the sides can be calculate as following:

  • Q(-4;4); N(-3;0)

             => QN = \sqrt{[-3-(-4)]^{2} + (0-4)^{2}  } = \sqrt{1^{2}+(-4)^{2}  } = \sqrt{1+16}=\sqrt{17}

  • Q (-4;4); P(-7;1)

   => QP = \sqrt{[-7-(-4)]^{2} + (1-4)^{2}  } = \sqrt{(-3)^{2}+(-3)^{2}  } = \sqrt{9+9}=\sqrt{18} = 3\sqrt{2}

  • N(-3;0); P(-7;1)

             =>  NP = \sqrt{[-7-(-3)]^{2} + (1-0)^{2}  } = \sqrt{(-4)^{2}+1^{2}  } = \sqrt{16+1}=\sqrt{17}

It can be seen that QPN and JKL have: JK = QN; JL = QP; KL = NP

=> They are congruent triangles

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