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2 years ago

In the figure, CD is the bisector of ACB. If AD = AE then prove that: EAC = ABC.

Mathematics

1 answer:

Alinara [238K]2 years ago

5 0

Answer:

If AD=AE the the bisector CD. will be the coefficient of AE

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dr. wong can see 9 patients in 3 hours, at this rate how long willl it take dr too see 72 patients? PLEASE HELP!!!

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How many times must he see 9 in order to cover all 72 of them ? 72/9 = 8 . He has to see 9 patients 8 times, so he has to work 3 hours 8 times. 3x8=24 hours.

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3 years ago

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How to factor the gcf out of a polynomial

Ann [662]

Step-by-step explanation:

$15x^6+6x^4+9x^3\\\\\text{Find GCF of 15, 6 and 9:}\\\\15=\boxed3\cdot5\\6=\boxed3\cdot2\\9=\boxed3\cdot3\\\\GCF(15,\ 6,\ 9)=\boxed3\\\\\text{Find GCF of}\ x^6,\ x^4\ \text{and}\ x^3:\\\\\text{use}\ a^n\cdot a^m=a^{n+m}\\\\x^6=x^{3+3}=\boxed{x^3}\cdot x^3\\\\x^4=x^{3+1}=x^3\cdot x^1=\boxed{x^3}\cdot x\\\\x^3=\boxed{x^3}\cdot1\\\\GCF(x^6,\ x^4,\ x^3)=\boxed{x^3}\\\\\text{Therefore}\\\\GCF(15x^6+6x^4+9x^3)=\boxed{3}\cdot\boxed{x^3}=3x^3\\\\15x^6+6x^4+9x^3=3x^3(5x^3+2x+3)$

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4 years ago

A cruise ship traveled 432 miles in 24 hours. What was its average rate of speed?

Arturiano [62]

Answer:

18 miles an hour

Step-by-step explanation:

Divide 432 by 24 to get 18.

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2 years ago

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Three numbers are in the ratio of 1:2:4. If 3 is added to the first and 8 is subtracted from the third, the new numbers will be

statuscvo [17]

9514 1404 393

Answer:

5, 10, 20

Step-by-step explanation:

Suppose the three numbers are x, 2x, and 4x. Then they have the required ratios. After the transformation, we have ...

((x+3) +(4x -8))/2 = 2x . . . . . 2nd term is average of 1st and 3rd

5x -5 = 4x ⇒ x = 5

The original numbers are 5, 10, 20.

_____

After the adjustment, the arithmetic sequence is 8, 10, 12.

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3 years ago

Tyreek and his 4 friends equally split 3cups of juice. How much juice does each person get?

lyudmila [28]

Answer:

$\frac{3}{5}$ or 0.6 of a cup of juice

Step-by-step explanation:

Divide 3 by 5:

3/5

= 0.6

So, each person would get $\frac{3}{5}$ or 0.6 of a cup of juice.

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3 years ago

In the figure, CD is the bisector of ACB. If AD = AE then prove that: EAC = ABC.​

In the figure, CD is the bisector of ACB. If AD = AE then prove that: EAC = ABC.