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PtichkaEL [24]
3 years ago
6

Need help with this problem its really complicated for me

Mathematics
1 answer:
ddd [48]3 years ago
8 0

You can write a proportion because the two triangles are similar

\frac{x}{x-2} = \frac{x + x + 5}{x + 1 + x - 2} (the second fraction is longer because I added the full lengths of the larger triangle)  cross multiply to get (x)(x + 1 + x - 2) = (x - 2)(x + x + 5)

which simplifies to (x)(2x - 1) = (x - 2)(2x + 5)

then 2x² - x = 2x² + 5x -4x - 10

then 2x² - x = 2x² + x - 10

then 2x² = 2x² + 2x - 10

subtract 2x² from both sides to get 0 = 2x - 10

add 10 to both sides to get 10 = 2x

divide both sides by 2 to get 5 = x

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Ganezh [65]

Answer: B

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7 0
3 years ago
Tyler used 17.04 gallons of gas.Maria used 6.2 times as many gallons of gas as Tyler. How many gallons of gas did Maria use?
timurjin [86]
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3 years ago
Connie's dog fido weighs 35 pounds. Her vet placed fido on a diet. What inequality can you write to find the average number of p
lawyer [7]

Fido's dog must lose 1.17 pounds each month to reach healthier weight.

Step-by-step explanation:

Given,

Weight of fido's dog = 35 pounds

Time period = 6 months

Goal weight to reach = 28 or less pounds

Let,

m be the weight to be lose each month.

Weight of dog - Time period * Weight to lose each month ≤ Goal weight

35-6m\leq 28\\-6m\leq 28-35\\-6m\leq -7

Dividing both sides by -6

\frac{-6m}{-6}\leq \frac{-7}{-6}\\\\m\leq 1.17

Fido's dog must lose 1.17 pounds each month to reach healthier weight.

Keywords: division, subtraction

Learn more about division at:

  • brainly.com/question/10382470
  • brainly.com/question/10382722

#LearnwithBrainly

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3 years ago
Rewrite each expression using the distributive property. Then combine like terms if possible. 2(x+4
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Step-by-step explanation:

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Step 2: multiply the 2 with the 4 and get 8

Step 3: your answer is 2X+8

7 0
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Number 15 please help
OverLord2011 [107]
I would believe its 10
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