The interior angles formed by the sides of a quadrilateral have measures that sum to 360°. What is the value of x?

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x = ?

A polygon with hash marks on the two sides, the left side labeled four X plus twelve and the right side labeled sixty but here's the picture.

x = 59

Step-by-step explanation:

Equations

The interior angles formed by the sides of a quadrilateral have measures that sum to 360°.

The image shows a four-sided polygon and its four angles measures, thus we sum them all and equate the sum to 360:

x + x + 2x + 3 + 2x + 3 = 360

Simplifying:

6x + 6 = 360

Subtracting 6:

6x = 354

Dividing by 6:

x = 354/6

x = 59

find out the value of b

step-by-step explanation:

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb