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1 answer:
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Answer:
The value of x is .
Step-by-step explanation:
Please look at the figure attached to get more clear solution.
We have given:
FG||CB
And the line that cut the parallel line is transversal so, here BA is transversal
And alternate interior angles on transverse line are equal
So, ∠1=∠4
And ∠4=
Hence, ∠1=∠4=
And On FG the sum of angles will be
∠3+∠2+∠1=
+∠2+
=
Hence, ∠2=
Now, we know that the sum of interior angles is equal to the exterior angle:
Therefore, ∠2+∠5=∠6+∠7
On simplification we get:
Hence, the value of x is .
Answer:
<em>1885.5 m^3 of water</em>
<em></em>
Step-by-step explanation:
I'll assume this is the complete question
<em>Lauren has an above-ground pool. To keep the pool's skimmer working well, the water level must be 4 inches from the top of the pool. When the pool is filled to this recommended level, approximately how many cubic feet of water will it contain? Use π = 3.14 </em>
<u><em>The pool forms</em></u><em> a cylinder with a radius of 12 feet and a height of 4.5 feet.</em>
<em></em>
height of pool = 4.5 ft
radius of pool = 12 ft
height of water is 4 inches below pool top
<em>12 inches make 1 ft</em>
4 inches = 4/12 ft = 0.33 ft
Therefore, height of water = 4.5 - 0.33 = 4.17 ft
<em>volume of the water in this section of the cylinder will be equal to the volume of the cylinder formed</em>
volume of cylinder formed by the water = volume of water = πh
volume = 3.14 x x 4.17 = <em>1885.5 m^3 of water</em>