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mel-nik [20]
2 years ago
7

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.

Mathematics
1 answer:
777dan777 [17]2 years ago
6 0

If two triangles are similar then the corresponding sides are in proportion. Thus,

AB / AU = BC / UV = AC / AV

AB / (20x+108) = 703 / 444

Where AB is equivalent to:

AB = AU + UB

AB = 20x + 108 + 273

AB = 20x + 381

Therefore going back to the first equation:

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

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

8880x + 169164 = 14060x + 75924

14060x - 8880x = 169164 – 75924

5180 x = 93240

x = 93240 / 5180

<span>x = 18          (ANSWER)</span>

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4 0
2 years ago
In a science test devi scores 15 marks more than lixin . If devi obtains twice as many marks as lexin . Find the number of marks
BabaBlast [244]

Answer:

Lixin obtains 15 marks

Step-by-step explanation:

Lets write two equations based on the question where: <u>D= Devi and L=Lixin</u>

D=L+15 <em>- "devi scores 15 marks more than lixin"</em>

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Now, substitute 2L as D in the first equation we wrote: (D=L+15)

2L=L+15

Next, subtract L from both sides:

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2 years ago
You are planning to take a group of friends to the movies for your birthday. The local movie theater charges $12.99 per person.
aleksley [76]
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7 0
2 years ago
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On average, the number of customers who had items to return for refunds or exchanges at a certain retail store's service desk is
spayn [35]

Answer:

The probability that the service desk will have at least 100 customers with returns or exchanges on a randomly selected day is P=0.78.

Step-by-step explanation:

With the weekly average we can estimate the daily average for customers, assuming 7 days a week:

M=756/7=108

We can model this situation with a Poisson distribution, with parameter λ=108. But because the number of events is large, we use the normal aproximation:

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Then we can calculate the z value for x=100:

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Now we calculate the probability of x>100 as:

P(x>100)=P(z>-0.77)=0.78

The probability that the service desk will have at least 100 customers with returns or exchanges on a randomly selected day is P=0.78.

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2 years ago
Which function has the domain x&gt;or= -11
iogann1982 [59]
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