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abruzzese [7]
4 years ago
11

13

Mathematics
2 answers:
Cerrena [4.2K]4 years ago
7 0

Answer:

<h2>2x-10 = 65-x</h2><h2 />

Step-by-step explanation:

just add up both alternate internal angles as they are both equal

so, the equation is: 2x-10 = 65-x

iren [92.7K]4 years ago
7 0

Answer:

The right equation will be 2x - 10 = 65 - x (you were wrong lol)

Step-by-step explanation:

We have: 2x - 10 = 65 - x

=> 2x - 10 + x = 65

=> 3x = 65 + 10 = 75

=> x = 75/3 = 25

P/S: After some little chats with the others, this might be wrong :(

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3 years ago
What is the slope of the line that passes through the points (2, 3) and (8, 6)
nadezda [96]

Answer:

The slope of the line that passes through the points (2, 3) and (8, 6) is \frac{1}{2}.

Step-by-step explanation:

To find the slope of two points, divide the difference between the y values by the difference between x values, you can remember this by the mnenomic "rise over run". In this case, the difference between y and x values would be 6 - 3 = 3 and 8 - 2 = 6 respectively. This means the slope between the two points (2, 3) and (8, 6) is \frac{3}{6} or \frac{1}{2}.

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The ___ is the average value of a set of numerical data, found by adding all the
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Answer:

mean

Step-by-step explanation:

3 0
4 years ago
Read 2 more answers
The value of an investment A (in dollars) after t years is given by the function A(t) = A0ekt. If it takes 10 years for an inves
Ludmilka [50]

Answer:

20 years.

Step-by-step explanation:

We have been given a formula A(t)=A_0\cdot e^{kt}, which represents the  value of an investment A (in dollars) after t years.

Substitute the given values:

\$3,000=\$1,000\cdot e^{k*10}

Let us solve for k.

\frac{\$3,000}{\$1,000}=\frac{\$1,000\cdot e^{k*10}}{\$1,000}

3=e^{k*10}

Take natural log of both sides:

\text{ln}(3)=\text{ln}(e^{k*10})

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

\text{ln}(3)=10k\cdot\text{ln}(e)

We know that \text{ln}(e)=1, so

\text{ln}(3)=10k\cdot 1

\text{ln}(3)=10k

\frac{\text{ln}(3)}{10}=\frac{10k}{10}

\frac{\text{ln}(3)}{10}=k

\$9,000=\$1,000\cdot e^{\frac{\text{ln}(3)}{10}*t}

Dividing both sides by 1000, we will get:

9=e^{\frac{\text{ln}(3)}{10}*t}

Take natural log of both sides:

\text{ln}(9)=\text{ln}(e^{\frac{\text{ln}(3)}{10}*t)

\text{ln}(9)=\frac{\text{ln}(3)}{10}*t\cdot\text{ln}(e)

\text{ln}(9)=\frac{\text{ln}(3)}{10}*t\cdot1

10*\text{ln}(9)=10*\frac{\text{ln}(3)}{10}*t

10\text{ln}(9)=\text{ln}(3)*t

10\text{ln}(3^2)=\text{ln}(3)*t

2\cdot 10\text{ln}(3)=\text{ln}(3)*t

20\text{ln}(3)=\text{ln}(3)*t

Divide both sides by \text{ln}(3):

\frac{20\text{ln}(3)}{\text{ln}(3)}=\frac{\text{ln}(3)*t}{\text{ln}(3)}

20=t

Therefore, it will take 20 years for the investment to be $9,000.

5 0
3 years ago
The normal pressure at sea level is 1 atmosphere of pressure (1 ATM). As you dive below sea level, the pressure changes. The map
lisabon 2012 [21]

Answer:30 m --- 4

              40 m --- 5

               50 m --- 6

Step-by-step explanation:

8 0
3 years ago
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