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slamgirl [31]
3 years ago
11

What is the value of x? Enter your answer in the box.

Mathematics
1 answer:
PIT_PIT [208]3 years ago
6 0

We will use the angle bisector theorem here for \angle GEH. ED being the angle bisector.

Thus, from the diagram we will have:

\frac{HD}{DG} =\frac{EH}{EG}

We will now plug in the values given in the diagram.

\frac{35}{x+4} =\frac{56}{44.8}

x+4=\frac{35\times 44.8}{56}

x+4=28

x=24

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IRISSAK [1]

Answer:

x = 10

Step-by-step explanation:

In the last step, you can see that the fraction \frac{1}{5} has been multiplied by its reciprocal \frac{5}{1}, making it cancel out. The reciprocal has been multiplied to both sides, so all you need to do is multiply \frac{6}{3} · \frac{5}{1} :

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<u><em>So now you should have the fraction:</em></u>

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7 0
3 years ago
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8 0
3 years ago
Thuy rolls a number cube 7 times. which expression represents the probability of rolling a 4 exactly 2 times?
Nady [450]
The result of rolling a number cube 7 times is a 7-digit number composed of digits 1,2,3,4,5 and 6 so that digits can repeat. The total number of possibilities is 6^7.

The number of possibilities where 4 appears exactly two times is 5^5*(7!-6!/2).
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7! is the number of permutations of digits 1,2,3,4,4,5 and 6.
6! is the number of permutations of digits 1,2,3,{4,4},5 and 6.
We don't want to subtract all numbers where digits 4 appear side by side. That's why we must divide 6! by 2.

Finally, the probability is P=5^5(7!-6!/2)/7^7
6 0
3 years ago
Read 2 more answers
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