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PilotLPTM [1.2K]
3 years ago
12

The two triangles are similar, what is the value of X?

Mathematics
1 answer:
Gennadij [26K]3 years ago
7 0

Answer:

x=4

Step-by-step explanation:

Since both triangles are similar, you can make an equation 12/5x-2 = 16/6x. When you cross multiply you get 72x=80x-32. Then you transfer the 80x and you get -8x = -32. Then you divide by -8 and you get x=4.

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Me das mas información porfavor?

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Consider the following expression.<br> 5(1+6) (2b+7)<br> Select all of the true statements below.
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<u>Answer:</u>

  • Option B
  • Option C
  • Option E

<u>Explanation:</u>

  • <em>Option B is true because both of the terms are constants. Hence, they are like terms.</em>
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Kitty Foods sells their cat food in 3 3/4 lb bags, while Cat Caterers sells 2 1/8 lb bags. How much bigger are the bags Kitty Fo
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Answer: The answer for the question is: 1 5/8

Step-by-step explanation:

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A huge ice glacier in the Himalayas initially covered an area of 454545 square kilometers. Because of changing weather patterns,
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We have been given that a huge ice glacier in the Himalayas initially covered an area of 45 square kilo-meters. The relationship between A, the area of the glacier in square kilo-meters, and t, the number of years the glacier has been melting, is modeled by the equation A=45e^{-0.05t}.

To find the time it will take for the area of the glacier to decrease to 15 square kilo-meters, we will equate A=15 and solve for t as:

15=45e^{-0.05t}

\frac{15}{45}=\frac{45e^{-0.05t}}{45}

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Now we will switch sides:

e^{-0.05t}=\frac{1}{3}

Let us take natural log on both sides of equation.

\text{ln}(e^{-0.05t})=\text{ln}(\frac{1}{3})

Using natural log property \text{ln}(a^b)=b\cdot \text{ln}(a), we will get:

-0.05t\cdot \text{ln}(e)=\text{ln}(\frac{1}{3})

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t=\frac{\text{ln}(\frac{1}{3})}{-0.05}

t=\frac{\text{ln}(\frac{1}{3})\cdot 100}{-0.05\cdot 100}

t=\frac{\text{ln}(\frac{1}{3})\cdot 100}{-5}

t=-\text{ln}(\frac{1}{3})\cdot 20

t=-(\text{ln}(1)-\text{ln}(3))\cdot 20

t=-(0-\text{ln}(3))\cdot 20

t=20\text{ln}(3)

Therefore, it will take 20\text{ln}(3) years for area of the glacier to decrease to 15 square kilo-meters.

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A function and its inverse are shown on the same graph. Which statement describes the relationship between the function and its
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