Answer:
Both A and B
Step-by-step explanation:
sum of opposite interior angles is equal to the exterior angle.
a )
First of all we need to find the value of x ,
because the angles are written in terms of the variable x .
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<h2>Let's find the value of
x :</h2>
STV angle & SUV angle have same measure because both of them are the front angle of SV arc .
So :
Add sides 5
Subtract sides minus 2x
Collect like terms
Thus the measure of angle T equals :
Now just need to put the value of x which we found :
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b )
angle S & angle V are also have same measure because they both are the front angles to the TU arc .
And we need to find the value of x again in this part exactly like we did for a .
As the question told :
and ,
Thus :
Subtract sides minus x
Collect like terms
Divide sides by 2
Simplification
So ;
And we're done.
The height will be 4 cm.
Explanation
<u />The volume of a cylinder is given by the formula V=πr²h. For a volume of 36π cm³ and a radius of 3 cm,
36π = π(3²)h
36π = 9πh
Divide both sides by 9π:
36π/9π = 9πh/9π
4 = h
This calculator will first reduce the improper fraction to lowest terms by dividing numerator and denominator by the greatest common factor (GCF). The GCF of 45 and 10 is 5. The remainder is 1. With 1 as the numerator and 2 as the reduced denominator, the fraction part of the mixed number is 1/2.