Answer the following statement(s) true (T) or false (F)
1. If two triangles are congruent, then there are exactly three pairs congruent parts—the
corresponding angle pairs.
2. In ?ABC, if then ?BAC ? ?ACB.
3. If AB , ? XY, BC ? YZ and ?ABC ? ?XYZ then ?ABC ? ?XYZ
4. In ?ABC, ?ABC ? ?CBA by corresponding parts (C.P.)
5. If PQ bisects AB,then AP ? BP.
1. False:There are six pairs of congruent parts.
2. True
3. False: SSA is not a valid congruence condition.
4. False: By Identity
5. False— PQ must be perpendicular to AB to reach the conclusion.
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For the curve r(t), write the acceleration in the form aTT + aNN.r(t) = (2t sin t + 2 cos t)i + (2t cos t - 2 sin t)j + 7k
A. a = 2T + 2tN
B. a = N
C. a = 2T + N
D. a = 2tN
Solve the initial value problem. = 2e-x, y(0) = 1, y'(0) = 0
A. y = 2e-x + 1 B. y = -2e-x + C C. y = 2e-x + 2x - 1 D. y = 2e-x - 2x + 3
Graph the function on a grapher. Then use the grapher to find the x- and y-intercepts. Round to the nearest hundredth if necessary.f(x) = -10.3x2 + 8.45x + 6.34
A. (-0.48, 0), (0, 6.34) B. (-0.48, 0), (1.30, 0), (0, 6.34) C. (-1.30, 0), (0.48, 0), (0, -6.34) D. No x-intercepts, (0, 6.34)
Find the weighted mean of the numbers in the table. Round to the nearest tenth.At a supermarket during the 6 p.m. rush, the manager counted the number of customers waiting in each of the 12 checkout lines. The results are shown in the table.
A. 5.2 customers B. 4.3 customers C. 4.5 customers D. 5.8 customers