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Vladimir [108]
3 years ago
14

 K is the midpoint of . if = 3x + 1 and     , find the length of

Mathematics
1 answer:
jarptica [38.1K]3 years ago
4 0
3x + 1 = 1/3x + 9 Multiply through by 3 
<span>9x + 3 = x + 27 Subtract x </span>
<span>8x + 3 = 27 Subtract 3 </span>
<span>8x = 24 </span>
<span>x = 3 </span>

<span>AK = 3*3 + 1 = 10 </span>

<span>AB = 2*AK = 20</span>
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Divide. Reduce the answer to lowest terms. 3/4 ÷ 1/3
Slav-nsk [51]

Answer:

9/4

Step-by-step explanation:

When you divide by a number, whole number or fraction, it's exactly like multiplying by its inverse.

Like if you divide 4 by 2,  you can easily express that has 4 * 1/2.

In the same manner, when you divide 3/4 by 1/3, you can say that you're multiplying 3/4 by 3/1

The result of 3/4 * 3/1 = 9 / 4

Which you cannot simplify because 9 and 4 don't have any common factors (other than 1).  The only other way to express it would be 3²/2² or (3/2)²

6 0
3 years ago
10. if ABC is equilaterteral, solve for x​
djyliett [7]

Answer:

13

Step-by-step explanation:

If ABC is equilaterteral then all the angles must be equal and 60°

8x - 44 = 60 add 44 to both sides

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x = 13

8 0
3 years ago
On an average day, 105 books are published in the United States. About how many books would be published in the month of Februar
zvonat [6]
About 3,000 books because 105 * 28 = 2940
and 2940 rounded to the nearest thousand is 3000. Hope this helps.
3 0
3 years ago
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If y varies directly as x, and x = 48 when y = 6, find y<br> when x = 12.
pentagon [3]

Answer: Each time the pentagon is rotated , it maps back onto itself. There are five values of  for which the pentagon maps back onto itself. This is the same as the number of sides of the pentagon.

6 0
3 years ago
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Please help me thank you
S_A_V [24]
Question 1:

We have a 45-45-90 right triangle with the hypotenuse being the length from one corner to the opposite corner.

Multiply 30 ft with the square root of 2 and use a calculator to help give you numerical value to get your answer.

30 \sqrt{2} \approx 42

Your answer is the second choice.

Question 2:

The equilateral triangle can be divided into 2 30-60-90 triangles with the longer leg being the altitude. To get half of the side length of the right triangle, divide the altitude by the square root of 3.

\dfrac{15}{ \sqrt{3} }=\dfrac{15 \sqrt{3} }{3}=5 \sqrt{3}

The full side length is double of that, which is 10 \sqrt {3}.

Multiply that by 3 to get the full perimeter.
10 \sqrt{3}*3=30 \sqrt{3}

Your answer is the third choice. Hope this helps! :)
5 0
3 years ago
Read 2 more answers
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