Find the measures of two complementary angles, ÐA and ÐB, if mÐA = (7x + 4)° and mÐB = (4x + 9)°. Measure of angle A = ... Measure of angle B =

The measure of angle A is 53 degrees

The measure of angle B is 37 degrees

Step-by-step explanation:

Here in this question, we are interested in calculating the measure of the two angle.

When how angles are complementary, it means the sum of both equals 90 degrees

mathematically ;

(7x + 4) + (4x + 9) = 90

7x + 4x + 4 + 9 = 90

11x + 13 = 90

11x = 90-13

11x = 77

x = 77/11 = 7

The measure of angle A = 7x + 4 = 7(7) + 4 = 49 + 4 = 53 degrees

The measure of B = 4x + 9 = 4(7) + 9 = 28 + 9 = 37 degrees

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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