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-Dominant- [34]
4 years ago
12

Carli and Angela share a cell phone plan and split the bill each month. Last month, their total bill was $109. Carli went over h

er data limit on her phone, so her share of the bill was $15 more than Angela's to account for the overage charge. Which system of equations represents this situation?
Mathematics
2 answers:
Vikentia [17]4 years ago
8 0
For this case, the first thing we must do is define variables.
 We have then:
 x = Carli's bill
 y = Angela's bill
 We have then:
 "their total bill was $ 109"
 x + y = 109
 "Carli went over her data limit on her phone, so her share of the bill was $ 15 more than Angela's"
 x = y + 15
 Answer:
 
A system of equations that represents this situation is:
 
x + y = 109
 
x = y + 15
Taya2010 [7]4 years ago
8 0

Answer:

c+a=109

c=a+15

Step-by-step explanation:

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Given that the two triangles are similar, solve for x if AU = 20x + 108, UB = 273, BC = 703, UV = 444, AV = 372 and AC = 589.
skelet666 [1.2K]
Data:

<span>segment AU = 20x + 108,
segment UB = 273,
segment BC = 703,
segment UV = 444,
segment AV = 372 and
segment AC = 589.

From the figure:

1) Similarity => segment AB / segment BC = segment AU / segment UV

2) segment AB = segment AU + segment UB = 20x + 108 + 273 = 20x + 381

=> (20x + 381) / 703 = (20x + 108) / 444

=> 444 (20x + 381) = 703 (20x + 108)

=> 8880x + 169164 = 14060x + 75924

=> 14060x - 8880x = 169164 - 75924

=> 5180 x = 93240

=> x = 93240 / 5180

=> x = 18

Answer: x = 18
</span>
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What are all the angle measures for right triangle ABC?
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Arccos( \frac{ \sqrt{3} }{2} ) =  \beta  \\ Arccos(  \cos \: 30 \degree ) =  \beta  \\30 \degree =  \beta  \\  \therefore \:  \alpha  = 60 \degree \\ remaining \: angle = 90 \degree \\

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