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soldier1979 [14.2K]

3 years ago

15

If you make 128 ounces of lemonade how many cups will you make?

2 answers:

SSSSS [86.1K]3 years ago

4 0

You will make 16 cups. Hope this helps!

DanielleElmas [232]3 years ago

3 0

64 because every 2 ounce 1 cup

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Delicious77 [7]

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What is the simplest form of 9 5/6 + 5 1/6?

erma4kov [3.2K]

9 5/6+5 1/6= 14 6/6=15
Most Simplified Answer: 15

3 0

3 years ago

Plz Help! Three vertices of square ABCD are A(–1, –5), B(–3, –1), and C(1, 1). What are the coordinates of the fourth vertex?

otez555 [7]

-3,5 that should be the anwser

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3 years ago

Use the graph of △ABC with midsegments DE, EF and DF. Show that EF is parallel to AC and that EF=1/2 AC

Vinvika [58]

According to the midsegment theorem, the midsegments are parallel to

and half the length of the opposite side.

The completed statement are as follows;

Because the slopes of $\overline{EF}$ and $\overline{AC}$ are both<u> -4</u>, $\overline{EF}$ ║ $\overline{AC}$

EF = $\underline{\sqrt{17}}$ and AC = $\underline{2 \cdot \sqrt{17} }$

Because $\underline{\sqrt{17} }$ = $\underline{\frac{1}{2} \cdot 2 \cdot \sqrt{17} }$ , $EF = \frac{1}{2} \cdot AC$

<u />

Reasons:

From the given graph of ΔABC, we have;

Coordinates of the points <em>A</em>, <em>B</em>, and <em>C </em>are; A(-5, 2), B(1, -2), and C(-3, -6)

The coordinates of the point D and E on $\mathbf{\overline{DE}}$ are; D(-4, -2), and E(-2, 0)

The coordinates of the point F is; F(-1, -4)

$Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$\displaystyle Slope \ of \ line \ \overline{AC} = \mathbf{\frac{(-6) - 2}{-3 - (-5)} = \frac{-8}{2}} = -4$

$\displaystyle Slope \ of \ line \ \overline{EF} = \frac{0 - (-4)}{-2 - (-1)} = \frac{4}{-1} = -4$

$Length \ of \ segment,\ l = \sqrt{\left (x_{2}-x_{1} \right )^{2}+\left (y_{2}-y_{1} \right )^{2}}$

Length of EF = √((-1 - (-2))² + (-4 - 0)²) = √(17)

Length of AC = √((-3 - (-5))² + (-6 - 2)²) = √(4 × 17) = 2·√(17)

Therefore, we have;

Because the slope of $\mathbf{\overline {EF}}$ and $\mathbf{\overline {AC}}$ are both , <u>-4</u>, $\overline {EF}$ ║ $\overline {AC}$ . EF = $\underline{\sqrt{17}}$ , and AC

= $\underline{\frac{1}{2} \cdot 2 \cdot \sqrt{17}}$ ,. Because $\underline{\sqrt{17}}$ = $\underline{\frac{1}{2} \cdot 2 \cdot \sqrt{17}}$ , $EF =\mathbf{ \frac{1}{2} AC}$

Learn more about midsegment theorem of a triangle here:

brainly.com/question/7423948

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2 years ago

A population of 30,000 fish is expected to shrink at a rate of 7.5% per year. Which is the best prediction for the fish populati

alekssr [168]

I would have to say 30,000 (1-7.5/100)8= 16078.9

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3 years ago