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alexira [117]
3 years ago
7

What are the coordinates of the endpoints of the midsegment for △LMN that is parallel to LN¯¯¯¯¯ ?

Mathematics
1 answer:
Brut [27]3 years ago
3 0
<span>(3, 4.5) and (3, 3)

       The midsegment of a triangle is a line connecting the midpoints of two sides of the triangle. So a triangle has 3 midsegments. Since you want the midsegment that's parallel to LN, we need to select the midpoints of LM and MN. The midpoint of a line segment is simply the average of the coordinates of each end point of the line segment. So:

   Midpoint LM:

   ((0+6)/2, (5+4)/2) = (6/2, 9/2) = (3, 4.5)

       Midpoint MN:

   ((6+0)/2, (4+2)/2) = (6/2, 6/2) = (3, 3)

       So the desired end points are (3, 4.5) and (3, 3)</span>
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Y=-1,X+2y=9 solve by substitution show all work
Inga [223]

Answer:

x = 11

Step-by-step explanation:

Substitute y = -1 into the equation.

x+2y = 9

; x+2(-1) = 9

x+(-2) = 9

x-2 = 9

x = 9+2

x = 11

4 0
2 years ago
B) The time, T (in minutes) taken for a stadium to empty varies directly as the number of spectators, S. And inversely as the nu
sweet-ann [11.9K]

Answer:

18 minutes

Step-by-step explanation:

Given that the time (T) varies directly as the number of spectators (S) and varies inversely as number of open exits (E).

Hence:

T ∝ S; T ∝ 1 / E

Let k be the constant of proportionality. This gives:

T = kS / E

when T = 12 minutes, S = 20000, E = 20. Hence:

12 = k(20000) / 20

20000k = 240

k = 12 / 1000

This gives:

T = \frac{12}{1000}(\frac{S}{E} )

When  S = 36000, E = 24, we are to calculate the time (T):

T=\frac{12}{1000} (\frac{36000}{24} )=18\\

T = 18 minutes

7 0
3 years ago
What is the measure of ∠P, to the nearest degree?<br><br> 24°<br><br> 42°<br><br> 55°<br><br> 101°
Serhud [2]
I used cosine law and I got : 55°
4 0
3 years ago
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How do I slove this eqaution, and whats the answer?<br> -3(n+6)+10=-9
Sauron [17]

Answer:

n = \frac{1}{3}

Step-by-step explanation:

  1. Apply the distributed property, so it now looks like this: -3n + -18 + 10 = -9
  2. Combine like terms: -3n + -8 = -9
  3. Simplify: -3n - 8 = -9
  4. Add 8 to each side, so it now looks like this: -3n = -1
  5. Divide each side by -3 to cancel out the -3 next to n. It should now look like this: n = 1/3

I hope this helps!

8 0
3 years ago
A right rectangular prism has a volume of 470.40 cm³. The length of the solid is 6.4 cm and the width is 9.8 cm.
Bogdan [553]
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Multiply the length and width on the right side of the equation.

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Divide both sides by 62.72
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CHECK
V = l * w * h
V = 6.4 * 9.8 * 7.5
V = 470.4 cm^3
5 0
3 years ago
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