Statements Reasons
Given. Z2 and 24 are vertical
angles
Prove. 222 24
m2 2 + m 23 = 180
M23 + 24 = 180
22 and 24 are vert.
angles
23 and 24 are a linear pair lines m and n intersect at P
22 and 23 are a linear pair
m
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Statements
Reasons
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Astudent received the following grades last semester. find the student's semester grade point average. an a is algebra (3 credits), a b in history ( 3 credits), a in sociology ( 3 credits) a d in english ( 3credits) and a c in seminar ( 2credits). an a is worth 4 points, a b is worth 3 points a c is worth 2 points and a d is worth 1 point.

Does the function satisfy the hypotheses of the mean value theorem on the given interval? f(x) = 4x^2 + 3x + 4, [−1, 1] no, f is continuous on [−1, 1] but not differentiable on (−1, 1). no, f is not continuous on [−1, 1]. yes, f is continuous on [−1, 1] and differentiable on (−1, 1) since polynomials are continuous and differentiable on . there is not enough information to verify if this function satisfies the mean value theorem. yes, it does not matter if f is continuous or differentiable; every function satisfies the mean value theorem.

Solve for x where 0 equation: cot^2x+2cotx+1=0