Step-by-step explanation:
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Answer:
The greatest common factor of the terms is 1.
Step-by-step explanation:
The terms have no variables in common, and the coefficients have no factors in common. The greatest common factor of the terms is 1.
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The discriminant is negative (40² -4(30)(51) = -4520), so any linear factors will be complex.
The sum will be:
sigma(i = 1 to infinity, 30*(2/5)^i)
->

Which is equal to 30/(3/5) = 50
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Answer:
B. of the AAS congruence theorem.
Step-by-step explanation:
Triangles TSR and QRS share side SR
SR=RS
Angle TSR and Angle QRS are right angles, so
∠S= ∠R
Angle T Is-congruent-to Angle Q, so
∠T= ∠Q
From these data, we have one congruent side and two congruent angles. The possible congruence theorem that we can apply will be either ASA or AAS. In the ASA theorem, the congruence side must be between the two congruent angles.
The congruence side required for the ASA theorem for this triangle is ST = RQ. It is wrong because the congruent side we have is SR=RS. The correct option is the AAS theorem.