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r-ruslan [8.4K]
3 years ago
14

In equilateral ΔABC, AD, BE, and CF are medians. If FO = 4, then AE = A) 4 B) 4 3 C) 8 D) 12

Mathematics
2 answers:
a_sh-v [17]3 years ago
8 0

Answer:

Your answer choice would be C) 8.

Step-by-step explanation:

vampirchik [111]3 years ago
5 0

Firstly, we need to draw triangle

we know that

O is a centroid

and centroid divides median into 2:1

so,

\frac{CO}{FO} =\frac{2}{1}

we have FO=4

so, we can plug it

\frac{CO}{4} =\frac{2}{1}

CO=8

now, we can find CF

CF=OC+FO

CF=8+4

CF=12

now, we can see triangle ACF is a right angled triangle

so, we can use pythagoras theorem

x^2=(\frac{x}{2} )^2+12^2

now, we can solve for x

\frac{3x^2}{4}=144

x^2=192

x=8\sqrt{3}

Since, it is equilateral triangle

so,

AC=x=8\sqrt{3}

we know that

E is a mid-point

so,

AE=\frac{AC}{2}

now, we can plug values

AE=\frac{8\sqrt{3}}{2}

AE=4\sqrt{3}................Answer


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Answer: y =1

Step-by-step explanation:

Evaluating the equation for x  = 0:

y = 54 (0) + 1

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8 0
3 years ago
Complete the inequality.<br> (-9/8)/(-2 3/4) ? 3/22<br> &gt;<br> &lt;<br> =
Thepotemich [5.8K]

Answer:

(-3/8)/(-2 3/4) = 3/22  

Step-by-step explanation:

Solve the following;

\frac{\left(-\frac{3}{8}\right)}{\left(-2\frac{3}{4}\right)}

=\frac{\left(-\frac{3}{8}\right)}{\left(-\frac{11}{4}\right)}

\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}

=\frac{\frac{3}{8}}{\frac{11}{4}}

\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}

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\frac{3}{22}

Thus, \frac{\left(-\frac{3}{8}\right)}{\left(-2\frac{3}{4}\right)} = \frac{3}{22}

<em>~Learn with lenvy~</em>

6 0
2 years ago
I need help please help
arsen [322]

i think its C)  c= 15d + 45, i hope this helps and have a good day!


5 0
3 years ago
Long division<br>algebra 2, help me. thanks
klemol [59]
To complete this algebra problem, just like any other, we have to complete the proper steps in order; here as follows.

1. <span><span>−<span>3<span>x^2 </span></span></span>+ <span>20x </span></span>− <span>12
         -------------
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2. </span><span><span>(<span><span>−<span>3x </span></span>+ 2</span>) </span><span>(<span>x − 6</span><span>)
</span></span></span>         -----------
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And finally..


You come up with the answer of:

-3x + 2

I hope this cleared up the little confusion you may have been having. If you need more information on the steps, just ask.


4 0
3 years ago
Please answer this extremely difficult question - 2+2
Elenna [48]

Answer:

0 the answer is zero

Step-by-step explanation:

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6 0
3 years ago
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