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const2013 [10]
3 years ago
5

Line segment JK is divided by point L in the ratio of 3:2. Endpoint J is at (-16, 2) and point L is at (-15, -20). What are the

coordinates of endpoint K?
Mathematics
1 answer:
Lemur [1.5K]3 years ago
6 0

9514 1404 393

Answer:

  K(-14 1/3, -34 2/3)

Step-by-step explanation:

The division ratio says ...

  (L -J)/(K -L) = 3/2

  2(L -J) = 3(K -L)

  5L -2J = 3K

  K = (5L -2J)/3

  K = (5(-15, -20) -2(-16, 2))/3 = (-75+32, -100-4)/3 = (-43/3, -104/3)

  K = (-14 1/3, -34 2/3)

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A log is 20 m long, correct to the nearest metre.
Marat540 [252]

Answer:

222 fence posts

Step-by-step explanation:

Since the log is 20 m long, correct to the nearest metre and has to be cut into fence posts which must be 90 cm long, correct  to the nearest 10 centimetres, there can be x fence posts 90 cm long.

So, we have x × 90 cm = 20 m

x × 0.9 m = 20 m

x = 20 m/0.9 m

x = 222.22

x ≅ 222 fence posts

So, the largest number of fence posts that can possibly be cut from the log is 222 fence posts.

4 0
2 years ago
Quadrilateral ABCD is similar to quadrilateral EFGH. Find the measure of side FG.
dezoksy [38]
59

47 - 11 = 36
23 + 36 = 59

I hope this helps. Brainliest appreciated.
7 0
2 years ago
Read 2 more answers
Check your answer for 3(p+2)=18
tiny-mole [99]

3(p + 2) = 18

3p + 6 = 18

3p = 12

p = 4

Check:

3(p + 2) = 18

3(4 + 2) = 18

3(6) = 18

18 = 18

This proves that p = 4.

⭐ Answered by Hyperrspace (Ace) ⭐

⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐

⭐ If you have questions, leave a comment, I'm happy to help! ⭐

7 0
3 years ago
Read 2 more answers
N x 6/9 = 3/12<br><br> what is N?
rusak2 [61]
1

 

Simplify n\times \frac{6}{9}n×​9​​6​​ to \frac{2n}{3}​3​​2n​​

\frac{2n}{3}=\frac{3}{12}​3​​2n​​=​12​​3​​


2

 

Simplify \frac{3}{12}​12​​3​​ to \frac{1}{4}​4​​1​​

\frac{2n}{3}=\frac{1}{4}​3​​2n​​=​4​​1​​


3

 

Multiply both sides by 33

2n=\frac{1}{4}\times 32n=​4​​1​​×3


4

 

Simplify \frac{1}{4}\times 3​4​​1​​×3 to \frac{3}{4}​4​​3​​

2n=\frac{3}{4}2n=​4​​3​​


5

 

Divide both sides by 22

n=\frac{\frac{3}{4}}{2}n=​2​​​4​​3​​​​


6

 

Simplify \frac{\frac{3}{4}}{2}​2​​​4​​3​​​​ to \frac{3}{4\times 2}​4×2​​3​​

n=\frac{3}{4\times 2}n=​4×2​​3​​


7

 

Simplify 4\times 24×2 to 88

n=\frac{3}{8}n=​8​​3​​


4 0
2 years ago
Anybody? Anyone? Anything?
Rudik [331]

The cosecant is the reciprocal of the sine function. That means you invert all the fractions and you divide 1 by the non-fractions.

csc(0°) = 1/0

csc(30°) = 2/1 = 2

csc(45°) = (√2)/1 = √2

csc(60°) = 2/√3

csc(90°) = 1/1 = 1

5 0
2 years ago
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