?ABC is isosceles with AB ? AC and ?A = 60°. Prove that ?ABC is equilateral.


?B = ?C since they are opposite congruent sides. Also, their sum is 120°. Hence ?A =?B = ?C = 60,so ?ABC is equilateral.

Mathematics

You might also like to view...

Factor the expression completely. ? ?

A.
B.
C.
D.

Mathematics

Find an equivalent equation in rectangular coordinates.r = 2(sin ? - cos ?)

A. 2x2 + 2y2 = y - x B. 2x2 + 2y2 = x - y C. x2 + y2 = 2x - 2y D. x2 + y2 = 2y - 2x

Mathematics

Draw a unit circle centered at the origin and sketch ?A = 315°. Label as P where the side of A, not on the x-axis, intersects the unit circle. Find and label the coordinates of P on the unit circle.

What will be an ideal response?

Mathematics

Solve the problem.Suppose a projectile is launched from the origin into the first quadrant with an initial velocity v0 feet per second at an angle ? with the horizontal. If the only force acting on the projectile is the force of gravity (with acceleration, g = 32 ft/sec2), then the maximum height, H, attained by the projectile is given by  A golf ball is hit with an initial velocity of 44 ft/sec with an angle  Find the maximum height, H, attained by the ball. Round to the nearest foot.

A. 14 ft B. 21 ft C. 16 ft D. 15 ft

Mathematics