An angle measures 29.2° less than the measure of its supplementary angle. What is the measure of each angle?

104.6 deg, 75.4 deg

Step-by-step explanation:

One angle measures x.

The other angle measures 29.2 deg less than x, so it measures x - 29.2.

They are supplementary angles, so the sum of their measures is 180 deg.

x + x - 29.2 = 180

2x - 29.2 = 180

2x = 209.2

x = 104.6

x - 29.2 = 75.4

104.6 deg, 75.4 deg

complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

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