What is the best estimate of the measure of the angle shown?

65°

Step-by-step explanation:

When an angle measures less than 90°, then it is called the acute angle.

When an angle measures exactly 90°, then it is known as the right angle.

And, when an measures greater than 90° but less than 180 degree, then it is known as the obtuse angle.

In the given picture,

27° and 65° are acute angles. Whereas, 92° and 138° are obtuse angles.

So, by observation, the angle that is given here is more closer towards the right angle (90°).

Therefore, the angle is 65°.

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