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Dmitriy789 [7]
3 years ago
11

Answer this please !!!!!!

Mathematics
1 answer:
guapka [62]3 years ago
3 0

Answer:

C) 140

Step-by-step explanation:

We can see from the diagram that mMEF + mDEM = mDEF because they share the same lines.

Therefore:

69x + 2 + 34 = 2 + 86x

Now we can solve this equation.

First we can eliminate the +2 from each side as they will cancel:

69x + 34 = 86X

And then rearrange to solve for x:

34 + 69x - 69x = 86x - 69x

34 = 17x

34/17 = 17x/17

x = 2

Now that we have the value for x, we can substitute it into the original equation:

mMEF = 69(2) +2

mMEF = 138 + 2

mMEF = 140

Therefore the correct answer is C) 140.

Hope this helped!

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Answer:

<em>y = 255x + 6559</em>

Step-by-step explanation:

<u>Function Modeling</u>

We have the following relationship between the minutes into the ride (x) and the elevation of the tram (y):

x={2,5,9,14}

y={7069,7834,8854,10129}

We first test if the relationship is linear or not.

A linear relationship is tested by calculating the slope from any pair of points.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

\displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Selecting the first two points (2,7069) and (5,7834)

\displaystyle m=\frac{7834-7069}{5-2}=\frac{765}{3}

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Selecting the first two points (5,7834) and (9,8854)

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m=255

If we repeat the calculation with any pair of points, we get the same value for the slope, thus we can conclude the relationship is linear.

Using the point-slope form of the line:

y - k = m( x - h )

We select the point (2,7069)

y - 7069 = 255( x- 2 )

Operating:

y - 7069 = 255x - 510

Adding 7069:

y = 255x - 510 + 7069

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