Find the value of 373 using the identity (x − y)3 = x3 − 3x2y + 3xy2 − y3. Show all work. Hint: 373 = (40 − 3)3; therefore, x = 40 and y = 3.

Step-by-step explanation:

Given

Required

Find

Express 37 as 40 - 3

So, we have:

Compare to

Substitute 40 for x and 3 for y in

Evaluate all exponents

Evaluate all products

Hence:

s

step-by-step explanation:

1. 180°. the sum of the interior angles of a triangle is 180°, for the equilateral triangle that it has three equals side is 60°+60°+60°=180°.

2. 60°. each interior angle of a equilateral triangle is 60°

3. 120°. the measure of ∠m is 120°, the sum of the angles ∠m and ∠n is equal to 180°. so, in order to find the measure of ∠m, we have ∠m+∠n=180° > ∠m=180°-∠n > ∠m=180°-60°=120°.

4. 360°. the sum of the exterior angles of an equilateral triangle is ∠m+∠r+∠x=120°+120°+120°=360°. the exterior angles of any triangle always add 360°.