Find the measure of the side ab. round your answer to the nearest whole number.

23

Step-by-step explanation:

Using the Law of Sines [Solving for Angle Measures → sin <A\a = sin <B\b = sin <C\c; Solving for Sides → a\sin <A = b\sin <B = c\sin <C], set up your proportion solving for side c with its angle measure along with another angle measure that has all the information. In this case, you would set up <C and Side c along with <B and Side b because <B and Side b are already defined. To find m<C, you have to use the Interior Angles Theorem [m<1 + m<2 + m<3 = 180°], which is 105°. Here is your proportion:

c\[√2 + √6\4] = 24

The reason being is because you are dividing 12 by ½, which is 24, sin 105° is √2 + √6\4, and sin 30° is ½. So, you simply multiply √2 + √6\4 by 24 to get 6√2 + 6√6, which rounded to the nearest whole, is 23.

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65°

step-by-step explanation:

the total measure of a triangle is 180 degrees. 62 + 53 is 115.

180 - 115 = 65

10a^3+277a^2-132a-792

step-by-step explanation:

(2a+11)(5a-12)(foil)

=10a^2-24a+55a-132 =10a^2+31a-132

(10a^2+31a-132)(a+6)

=10a^3+60a^2+31a^2+186a^2-132a-792 =10a^3+277a^2-132a-792

i hope this is what you are looking for : )