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Lubov Fominskaja [6]
3 years ago
6

Help me pleasee asap !!

Mathematics
1 answer:
Alik [6]3 years ago
3 0

Answer:

F = 110°

I'm not sure, but since no one answered, here it goes...

Step-by-step explanation:

∵ FD = FE (Given in Diagram)

∴ ΔDFE is isosceles , ∴m∠E = m∠D

1 ) 3x  +  14  =  5x

   14  =  5x  -  3x

   14  =  2x

   14 / 2  =  x

   7  =  x  

m∠E = 3*7 + 14 = 35°

m∠D = 5*7 = 35°

m∠F = 180 - (35+35)

m∠F = 110°

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3. Solve the following application of a system of linear equations.
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Answer:

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y =  14 + 9 x --- Cindy

y = 10 x --- Ruben

Solution to equation:

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Number of cards they have at that time: 140 flashcards

Step-by-step explanation:

Solving (a): Variables and what they represent

The variables to use are x and y

Where x represent the minutes and y represents the number of flashcards in x minutes

Solving (b): System of linear equation

Cindy:

Existing\ Flashcards = 14

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Total number of flashcards (y) in x minutes is:

y =  Existing\ Flashcards + Additional * x

y =  14 + 9 * x

y =  14 + 9 x

Ruben:

Rate = 10 per minute

Total number of flashcards (y) in x minutes is:

y = Rate * x

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Solution to Equations:

Time they have the same amount.

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10x = 14 + 9x

Collect Like Terms

10x - 9x = 14

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