Let a = (0, 0), b = (8, 1), c = (5, −5), p = (0, 3), q = (7, 7), and r = (1, 10). prove that angles abc and p qr have the same size.

To prove

∠ABC = ∠PQR

Using euclidean distance, Length of each side can be found as

As can be seen

AB ≅ PQ

BC ≅ QR

CA ≅ RP

As all the sides of ΔABC are equal and congruent to ΔPQR, this Proves that measure of all angles inside both triangles must be equal.

1 1/4 hours

step-by-step explanation:

2/4 + 2/4 + 1/4 = 5/4 or 1 1/4

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.