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2 years ago

14

Choose as many answers as apply. Which of the following are metric measurements? gallon liter meter pint quart kilogram kilowatt

inch

2 answers:

Step2247 [10]2 years ago

6 0

Liter
meter
kilogram
kilowatt

Arada [10]2 years ago

4 0

the metric measurements are :

liter, meter, kilogram and kilowatt

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No

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Step-by-step explanation:

Given: Points H and F lie on circle with center C. EG = 12, EC = 9 and ∠GEC = 90°.

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Sol: EC = CH = 9 (Radius of the same circle are equal)

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GC = GH + 9

Now In ΔEGC, using pythagoras theorem,

$(Hypotenuse)^{2} = (Base)^{2} +(Altitude)^{2}$ ......(ΔEGC is a right triangle)

$(GC)^{2} = (GE)^{2} +(EC)^{2}$

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$(GH )^{2} + 81 + 18GH = 81 + 144$

$(GH )^{2} + 18GH = 144$

Now, Let GH = <em>x</em>

$x^{2} +18x = 144$

On rearranging,

$x^{2} +18 x - 144 = 0$

$x^{2} - 6x +24x + 144 = 0$

$x (x-6) + 24 (x - 6) =0$

$(x - 6) (x + 24) = 0$

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∵ x cannot be - 24 as it will not satisfy the property of right triangle.

Therefore, the length of line segment GH = 6 units. so, Option (D) is the correct answer.

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