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Lynna [10]
3 years ago
14

Side and angle properties of a parallelogram (level 2). NO LINKS!!!

Mathematics
2 answers:
gogolik [260]3 years ago
8 0

Answer:

Hello,

If we look at the solution we can calculate this very easily

A is 40

B is 121

C=y

D=x

THe answer

x=46

y=13

z= 116

Step-by-step explanation:

mylen [45]3 years ago
7 0

9514 1404 393

Answer:

  • x = 59°
  • y = 40°
  • z = 81°

Step-by-step explanation:

The marked external angle at B is "corresponding" to the internal angle BAD, so is the same measure. This means ...

  z° +40° = 121°

  z° = 81°

__

Adjacent angles of a parallelogram are supplementary, so ...

  ∠CDA +∠BAD = 180°

  x° + 121° = 180°

  x° = 180° -121°

  x° = 59°

__

Alternate interior angles are congruent, so ...

  y° = 40°

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There are nickels, dimes, quarters in a large piggy bank, for every 2 nickels there are 3 dimes, for every 2 dimes there are 5 q
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There are 80 nickels and 120 dimes and 300 quarters in piggy bank

<em><u>Solution:</u></em>

Given that,

For every 2 nickels there are 3 dimes ,

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Also for every 2 dimes there are 5 quarters

So, ratio of dime to quarters is 2 : 5

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nickel : dime : quarter = \frac{2}{3}dime : dime : \frac{5}{2}dime\\\\nickel : dime : quarter = \frac{2}{3} : 1 : \frac{5}{2}\\\\nickel : dime : quarter = 4 : 6 : 15

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Let the number of dimes be 6x

Let the number of quarters be 15x

From given question,

There are 500 coins in all.

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4x + 6x + 15x = 500

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number of nickel = 4x = 4(20) = 80

number of dimes = 6x  = 6(20) = 120

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