Answer:
<em>x = 17°, m∠ A = 114°</em>
Step-by-step explanation:
We can tell that these pair of angles are corresponding, provided;
Line 1 ║ Line 2, AB ∩ Line 1 and Line 2 ⇒ corresponding ∠s ≅,
m∠ A = m∠ B ⇒ Substitute values of A and B,
6x + 12 = 3x + 63 ⇒ Subtract 3x on either side,
3x + 12 = 63 ⇒ Subtract 12 on either side of equation,
3x = 51 ⇒ Divide either side by 3,
<em>x = 17 </em>⇒ Substitute value of x to solve for m∠ A,
m∠ A = 6 * ( 17 ) + 12,
m∠ A = 102 + 12,
<em>m∠ A = 114</em>
<em>Solution; x = 17°, m∠ A = 114°</em>
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Average rate is given by,

for section A, a=1, b=3
hope this helps.
the complete question in the attached figurewe know that
r=3 in
A=π*r²
the area of the complete circle-------> π*3²=9π in²
the green sector=360°-75°=285°
if 9π in²--------------------------> corresponds a 360°
X---------------------------------> 285°
X=285*9π/360=(285/40)*π---> [(3*5*19)/(8.5)]*π=[(3*19)/(8)]*π=(57/8)*π in²
the answer is (57/8)*π in² (the option B)
Answer:
The solutions are w=0 ,7
Step-by-step explanation:
3w^2 – 21w = 0
Factor out 3w
3w(w-7) =0
Using the zero product property
3w=0 w-7=0
w =0 w=7
The solutions are w=0 ,7