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Verizon [17]
3 years ago
9

Find mKNLˆ. A. 264 B. 196 C. 247 D. 184

Mathematics
1 answer:
nata0808 [166]3 years ago
5 0

Answer:

A. 264

Step-by-step explanation:

When a tangent and a secant, two secants, or two tangents intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs. Therefore,

60° = 1/2[(18x - 6)° - (5x +17)°]

60° * 2 = (18x - 6 - 5x - 17)°

120° = (13x - 23)°

120 = 13x - 23

120 + 23 = 13x

143 = 13x

143/13 = x

11 = x

x = 11

(18x - 6)° = (18*11-6)°= (198 - 6)° = 192°

(5x +17)° = (5*11 +17)° =(55+17)° = 72°

m (arc KNL) = (18x - 6)° + (5x +17)° = 192° + 72°

m (arc KNL) = 264°

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Step-by-step explanation:

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ohaa [14]

Answer:

Step-by-step explanation:

Length of the bridge = 190 m = 190*100 = 19000 cm    {100cm = 1m}

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=  237.5

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3 years ago
the area of a window is 192 in squared. The width if the window is four inches more than half the length of the window. What are
Leya [2.2K]

Answer:

Length = 16 inches and width = 12inches

Step-by-step explanation:

A = 192 in² . The width is 4 + 1/2x.  therefore let x = length

Area = LW

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192 = 4x + 1/2x²      

384 = 8x  + x²                            Multiply each term by 2 to make a  

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400 = (x  + 4)²        

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20 = x + 4  or  -20 = x + 4

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Determine the solutuon for x^2-3x-28&gt;0
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Answer:

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Step-by-step explanation:

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x = 7, - 4

so the critical points are  -4 and  7.

Create a Table   (pos = positive and neg = negative):

Value  of           x< - 4        -4  < x < 7         x > 7    

---------------------|----------- |--------------------- |---------------------

x + 4                  NEG           POS                 POS

x - 7                    NEG           NEG                POS

(x + 4)(x - 7)         POS           NEG                POS

So the function is positive (>0) for x < -4 or x > 7.

You can also do this by drawing the graph of the function.

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