1. Find BC
2. Find AC
3. In Triangle ABC, CA = 4√3 and ∠A = 60°. What is B in degrees?
4. Find AC
5. Find sin B
6. Find cos A
7. In triangle ABC, sin A = 4/5. Find cos B.
8. Find DB in the diagram below.
9. The side lengths of a cyclic quadrilateral ABCD are provided in the diagram. Find BD²
Please help with these! These are due really soon! I need the answers!!!!!
10. Through how many different positive angles less than 360 degrees is it possible to rotate a regular 15-gon clockwise about its center such that its image coincides with the original icosagon?
11. A translation maps A to Aprime and B to Bprime. We know AAprime = 6, AB = 7 and ABprime = 14. Find BAprime.
12. A regular pentagon PQRST is rotated clockwise about its center by a nonzero angle. What is the smallest number of degrees it must be rotated until it coincides with its original position?
13. Roger wants to add one more dot to the diagram below so that the four dots form the four vertices of a parallelogram. How many possible locations are there?
14. pentagon UVWXY is translated north by 40 units to pentagon U1V1W1X1Y1. Pentagon U1V1W1X1Y1 is then translated east by 50 units to pentagon U2V2W2X2Y2. We know the perimeter of pentagon UVWXY is 30 units. Find WW2.
15. P and Q are two points on a plane. A translation maps P to Q and Q to Qprime. Another translation maps Q to P and P to Pprime. We know PprimeQprime = 16. Find PQ.
16. OPQRSTUVWX is a regular decagon (10-gon). A rotation of theta degrees about V maps W to U. Given theta < 180 degrees, find theta.
+1005 So you waited 6 days before asking?
Why do you expect us to do your entire AoPS homework?
If you ask us to do one, sure.
a week's? No.
