Step-by-step explain: let's remember the formula x³+y³=(x+y)(x²-xy+y²) and also x³+y³=(x+y)³-3xy(x+y) then $\displaystyle\boldsymbol{ x^3+y^3=\underbrace{(x+y)^3}_{6}-3\underbrace{xy}_{2}\underbrace{(x+y)}_6}=\\\\6^3-3\cdot 2\cdot 6=216-36=180$

6 0

4 years ago

Find the measure of the exterior angle at vertex C.

Mariana [72]

The sum of exterior angles is always 360, so to solve this one, you will have to add the exterior angles all up to find x:

10x + (4x + 26) + (12x + 44) + (7x - 3) + (6x + 59) = 360

39x + 126 = 360

39x = 234

x = 6

Now, the exterior angle at vertex C is 4x + 26.

Plug in the value you got for x:

4 * (6) + 26 = 50

The answer is 50 degrees.

6 0

3 years ago

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