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3 years ago

ACDF is a trapezoid and

Mathematics

1 answer:

Sholpan [36]3 years ago

8 0

Answer:

x = 7

Step-by-step explanation:

See the attached figure.

As shown: A C D F is a trapezoid and BE is a mid-segment.

The mid-segment of the trapezoid is the average of its bases.

BE = 0.5 ( A F + C D)

Given: CD = 18 , BE = 2x + 10 and A F = 6x - 12

So,

2x + 10 = 0.5 ( 18 + 6x - 12)

Solve for x

2x + 10 = 0.5 (6 + 6x)

2x + 10 = 3 + 3x

10 - 3 = 3x - 2x

∴ x = 7

So, the value of x is 7

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Which point represents an approximate solution to this system of equations?

joja [24]

The answer is D. (2.9,-22.8)

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3 years ago

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Find the slope of the line.

pickupchik [31]

There are several ways to do this.
I'll show you two methods.

1) Pick two points on the line and use the slope formula.
Look for two points that are easy to read. It is best if the points are on grid line intersections. For example, you can see points (-4, -1) and (0, -2) are easy to read.
Now we use the slope formula.

slope = m = (y2 - y1)/(x2 - x1)

Call one point (x1, y1), and call the other point (x2, y2).
Plug in the x1, x2, y1, y2 values in the formula and simplify the fraction.

Let's call point (-4, -1) point (x1, y1).
Then x1 = -4, and y1 = -1.
Let's call point (0, -2) point (x2, y2).
Then x2 = 0, and y2 = -2.

Plug in values into the formula:

m = (y2 - y1)/(x2 - x1) = (-2 - (-1))/(0 - (-4)) = (-2 + 1)/(0 + 4) = -1/4

The slope is -1/4

2) Pick two points on the graph and use rise over run.
The slope is equal to the rise divided by the run.
Run is how much you go up or down.
Rise is how much you go right or left.

Pick two easy to read points.
We can use the same points we used above, (-4, -1) and (-0, -2).
Start at point (0, -2).
How far up or down do you need to go to get to point (-4, -1)?
Answer: 1 unit up, or +1.
The rise is +1.
Now that we went up 1, how far do you go left or right top go to point (-4, -1)?
Answer: 4 units to the left. Going left is negative, so the run is -4.
Slope = rise/run = +1/-4 = -1/4

As you can see we got the same slope using both methods.

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4 years ago

When a spaceship full of scientists landed on Planet Q, they found that 17/40 of the 160 aliens had 3 eyes. How many aliens had

Lera25 [3.4K]

Answer:

68 aliens

Step-by-step explanation:

Take the fraction of aliens that had 3 eyes and multiply by the number of aliens

17 / 40 * 160 =

17 * 160/40

17 *4

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3 years ago

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9) Gabe has a 40¢-off coupon for any kind of popcorn. He can choose

Vadim26 [7]

Answer:

Per ounce better buy is Happy popcorn.

Step-by-step explanation:

Given that:

Happy popcorn price for 16 ounces = $1.39

Popper popcorn price for 34 ounces = $2.79

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To find:

Which brand is the better buy per ounce?

Solution:

First of all, let us calculate the price that Gabe has to pay after the discount coupon being applied.

Price for 16 ounces of Happy popcorn after discount = $1.29 - $0.40 = $0.99

Price for 1 ounce of Happy popcorn after discount = $\frac{\$0.99}{16}$ = $0.062

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Therefore per ounce better buy is Happy popcorn.

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3 years ago

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MariettaO [177]

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Step-by-step explanation:

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3 years ago