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3 years ago

What soulution is true for x/3=1/4

Mathematics

1 answer:

andreyandreev [35.5K]3 years ago

8 0

Answer:

x=3/4

Step-by-step explanation:

x/3=1/2^2

4x=3

4x/4=3/4

x=3/4

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Points H and F lie on circle c What is the length of line segment GH?

Nina [5.8K]

Answer:

6 units

Step-by-step explanation:

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

To find: Length of GH.

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

Now, GC = GH + CH

GC = GH + 9

Now In ΔEGC, using pythagoras theorem,

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

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

$(GH + 9)^{2} = (9)^{2} +(12)^{2}$

$(GH )^{2} + (9)^{2} + 18GH = 81 + 144$

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

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

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

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

On rearranging,

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

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

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

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

So x = 6 and x = - 24

∵ 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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2 years ago

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Will mark the brainliest

Sati [7]

Answer:

B. $60x^8$

Step-by-step explanation:

$4x^2\sqrt{5x^4} \cdot 3\sqrt{5x^8} =$

$= 4x^2 \times 3 \sqrt{5x^4 \times 5x^8}$

$= 12x^2 \sqrt{25x^{4+8}}$

$= 12x^2 \sqrt{25} \sqrt{x^{12}}$

$= 12x^2 \times 5 \times x^6$

$= 60x^8$

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2 years ago

A bottle of medicine contains 40 doses. How many doses are in 3 1/3 bottles?

sdas [7]

Hi there! So, there are 40 doses in 1 bottle. To find out the number of doses in 3 1/3 bottles, we have to multiply both numbers together. 3 1/3 as an improper faction is 10/3. 40/1 * 10/3 is 400/3 or 133 1/3 in simplest form. There are 133 1/3 doses of medicine in 3 1/3 bottles.

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3 years ago

Use the information in the figure. Find mZD. 106 D Drawing not to scale 37° 53

harkovskaia [24]

Answer: Its B

Step-by-step explanation: Hope this was helpful I am not to sure this is the right answer but let me know if it is

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3 years ago

Please help me asap for 50 points :(

Gala2k [10]

A maybe I’m not sure

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3 years ago

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