The height of a flagpole, rounded to the nearest foot, is 42 feet. Which interval shows the possible values of h, the actual height in feet of the flagpole?

(A) 41 sh<43

(B) 41
QUESTION 2

(C) 41.5 sh<42.5

B

(D) 41.5

The picture of the question N 1) in the attached figure

Part 1)
we know that
The measure of the external angle is the semi difference of the arcs that it covers
so
∠GET=(1/2)*[arc TN-arc TG]---> 0.5*[180-50]----> ∠ GET=65°

the answer part 1) is the option
C)65

Part 2)Which of the following is the equation of a circle with a radius of 2.5 and its center at (4, -3)?

we know that
the equation of a circle is
(x-h)²+(y-k)²=r²
where (h,k) is the center and r is the radius
(h,k)-----> (4,-3)
r=2.5
so
(x-h)²+(y-k)²=r²-----> (x-4)²+(y+3)²=2.5²-----> (x-4)²+(y+3)²=6.25

the answer part 2) is the option
C) ( x - 4 ) ^ 2 + ( Y + 3) ^ 2 =6.25