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Pavlova-9 [17]
3 years ago
9

Find x if L is between N and M, and NL = (6x - 5), LM = (2x + 3), and NM = (3x+13)?

Mathematics
1 answer:
anastassius [24]3 years ago
3 0

Answer:

x = 3

Step-by-step explanation:

Here, we want to find the value of x

By mathematical convention;

NM = NL + LM

Now, substitute individual values

3x + 13 = (6x-5) + (2x + 3)

3x + 13 = 6x-5 + 2x + 3

3x + 13 = 8x -2

Collect like terms

8x -3x = 13 + 2

5x = 15

x = 15/5

x = 3

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Triangle L M Q is cut by perpendicular bisector L N. Angle N L Q is 32 degrees and angle L M N is 58 degrees.
Serga [27]

Answer:

Yes

Step-by-step explanation:

ΔMNL ≅ ΔQNL  by ASA or AAS

by ASA

Proof:

∠ LNM = ∠LNQ    =90

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By AAS

∠Q + ∠QLN + ∠LNQ = 180  {Angle sum property of triangle}

∠Q + 32 + 90 = 180

∠Q  + 122 = 180

∠Q = 180 -122 =

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∠Q = ∠M

∠MNL =∠QNL = 90

LN = LN {common side}

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Find an equation of a line whose graph intersects the graph of the parabola y=x^2 at (a) two points, (b) one point, and (c) no p
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(b) y = 2x - 1

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