Answer
Find out the value of x.
To prove
Definition of mid- segment
It is a segment connecting the midpoints of two sides of a triangle.
It is always parallel to the third side, and the length of the midsegment is half the length of the third side.
As shown in the triangle given below.
As given
DE = 5x and BC = 11x – 15
Thus




15 = 11x - 10x
15 = x
Therefore the value of x is 15 .
Now if we have 7.5 pounds of apples first we need to convert 1 pound into ounces.
1 pound = 16 ounces.
Now we know how many ounces are in one pound. So lets take the 16 ounces for 1 pound and multiply by the 7 full pounds of apples. This excluding the 1/2 pound of apples.
7 x 16 = 112
(7 being the weight in pounds of the apples, 16 being 16 ounces in one pound, and 112 is how any ounces are in 7 pounds of apples.)
So now we have the amount of ounces in 7 pounds of apples.
But we are not done. We still have the 1/2 pound of apples. So we take 16 being 1 pound of apples and divide it by 2.
16 divided by 2 = 8
That 1/2 pound of apples = 8 ounces.
So now we have our 7 pounds of apples in ounces (112) and our 1/2 pound of apples in ounces (8)
So we add these back up in ounces
112 + 8 = 120.
So now we can conclude:
7.5 pounds of apples is 120 ounces
Hope this helps!
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The maximum height of the baseball. Hope this helped :)
Can you give the call numbers. its hard to arrange them without actually knowing what they are
3x² - 2x + 7 = 0.
Using method of completing the square.
3x² - 2x = 0 - 7
3x² - 2x = -7 Divide through by 3.
x² - 2/3x = -7/3 ...........(d)
Coefficient of x = -2/3, half of it = 1/2*-2/3 = -1/3 square of it = (-1/3)² = 1/9
We add (1/9) to both sides of equation (d)
<span>x² - 2/3x = -7/3
</span>
<span>x² - 2/3x + 1/9 = -7/3 + 1/9
We factorize it by making using of half of the coefficient, -1/3
</span>
(x - 1/3)² = -7/3 + 1/9
<span>(x - 1/3)² = -20/9
</span>
That's the answer as asked by the question. -20/9