Provide missing statements and missing reasons for the proof of the theorem,“If two sides of a triangle are congruent, then the angles opposite those sides arealso congruent.”Given: 
with 
Prove: 
S1. R1.S2. Draw the angle bisector for 
R2. Every angle has exactly one angle-bisector.S3. 
R3.S4. R4.
What will be an ideal response?
with 
R1. Given
R3. The bisector of the vertex angle of an isosceles triangle separates the triangle into
two congruent triangles.
S4. 
R4. CPCTC
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Solve the problem.Find the center of mass of the region common to the spheres ? = 2
cos ? and ? = 2.
A. (
, 
, 
) = 
B. (
, 
, 
) = 
C. (
, 
, 
) = 
D. (
, 
, 
) = 
Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C.F = (x - y)i + (x + y)j; C is the triangle with vertices at (0, 0), (7, 0), and (0, 6)
A. 42 B. 84 C. 0 D. 252
Find the indicated root of the given equation by using Newton's method.2x4 - 3x2 - 7x + 1 = 0 (between 0 and 1)
A. 0.1351270 B. 0.1351020 C. 0.1351239 D. 0.1351097
Determine whether the given geometric series is convergent or divergent, and find the sum if it is convergent.1 + 
+ 
+ 
+ ...
A. Convergent; S = 1.75 B. Divergent C. Convergent; S = 1.3125 D. Convergent; S = 1.1667