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PilotLPTM [1.2K]
3 years ago
10

Find the value of x.

Mathematics
1 answer:
Anna [14]3 years ago
6 0

Answer:

x = 5.

Step-by-step explanation:

ZY = 2*2x = 4x.   (Parallel line in a triangle theorem).

XZ = 2 * (4x + 1) = 8x + 2

XY = 2 *(2x + 3) = 4x + 6

So the perimeter 88 = 4x + 8x + 2 + 4x + 6

88 - 8 = 16x

16x = 80

x = 5.

(Sorry but I can't remember the exact name of the theorem).

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Write an expression so that when you divide ¼ by a number the quotient will be greater than 1/4.
SVETLANKA909090 [29]
Hello There!

An example of this would be:
\frac{6}{1/4}
6 = \frac{6}{1}
\frac{6}{1} *  \frac{4}{1}
= \frac{24}{1}
= 24

Hope This Helps You!
Good Luck :) 

- Hannah ❤
8 0
3 years ago
A survey by the state health department found that the average person ate 208 pounds of vegetables last year and 125 5/8 pounds
Trava [24]
I think you would divide
8 0
3 years ago
Erica is a sheep farmer. She is having a problem with wolves attacking the flock. She starts with an initial 200 sheep and notic
Free_Kalibri [48]

The equation for the situation is y=200(\frac{2}{3})^{x}

It will take around 9 years for her to have around 5 sheep

Step-by-step explanation:

The exponential decay growth/decay equation is y=a(b)^{x} , where

  • a is the initial value
  • b is the growth/decay factor
  • If b > 1, then it is a growth factor
  • If 0 < b < 1, then it is a decay factor

Erica is a sheep farmer. She is having a problem with wolves attacking the flock. She starts with an initial 200 sheep and notices that the population is two-thirds of the previous year

∵ The population is decreased

∴ The equation is decay

∵ The population is two-thirds of the previous year

∴ The decay factor is \frac{2}{3}

∵ She starts with an initial 200 sheep

∴ the initial value is 200

∵ The decay equation is y=a(b)^{x} , where y represent the

   population in x years

∵ a = 200

∵ b = \frac{2}{3}

∴ y=200(\frac{2}{3})^{x}

The equation for the situation is y=200(\frac{2}{3})^{x}

∵ The population after x years is around 5 sheep

- Substitute y by 5 to find x

∵ 5=200(\frac{2}{3})^{x}

- Divide both sides by 200

∴ 0.025=(\frac{2}{3})^{x}

- Insert ㏒ for both sides

∴ log(0.025)=log(\frac{2}{3})^{x}

∴ log(0.025)=xlog(\frac{2}{3})

- Divide both sides by log(\frac{2}{3})

∴ 9.098 = x

∴ x is around 9 years

It will take around 9 years for her to have around 5 sheep

Learn more:

You can learn more about the equation  in brainly.com/question/10666510

#LearnwithBrainly

8 0
3 years ago
What does equivalent ratios mean
Anna35 [415]

it means that u have to ratios that are equivalent in weight meaning 3:3 = 1 and so is 6:6=1
7 0
3 years ago
Help. also explain :) please
Anuta_ua [19.1K]
The answer is £140

First you find 20% of 1200 (which is basically 20 times 12) which gives you £240.

You add £240 to £1200 which is £1440

Then you take £300 off £1440 since he already paid the deposit.

That leaves you with £1140

1140 divided by 10 is 114
5 0
3 years ago
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