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Diano4ka-milaya [45]
4 years ago
14

Determine whether AABC should be solved by using the Law of Sines or the Law of Cosines. Then solve the triangle.

Mathematics
1 answer:
SVEN [57.7K]4 years ago
8 0

Answer:

B = 42.7 degrees, C = 102.3 degrees and c = 18.7.

Step-by-step explanation:

We use the Sine Rule:

a / sin A = b / sin B

11 / sin 35 = 13 / sin B

11 sin B =  13 sin 35

sin B = 13 sin 35 / 11 = 0.677863

B = 42.7 degrees.

So C =  180 - 42.7 - 35

= 102.3 degrees.

c / sin 102.3 = 11 / sin 35

c =  11 sin 102.3 / sin 35

= 18.7.

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blondinia [14]

Answer:

Option A is correct because sum of m<2 and m<3 are complementary. So m<2+m<3 =90° .

Step-by-step explanation:

Given: <2 and <3 are complementary angles.

Definition of complementary angles says if two angles sum is equal to 90 degrees then they are called complementary angles.

Statement                                                       Reason

1.<2 and <3 are complementary                 1. Given

2. m<2+m<3 =90°                                         2. Definition of complementary <s

3. m<1= m<3                                                  3. Given

4. m<1+m<2= 90°                                          4.Substitution property of =

5. <1 and <2 are complementary               5. Definition of complementary <s.

Option A matches with the given. We can not use addition properties of equality for statement 2 so, other options are incorrect.

So, according to the given options A is correct.

You can learn more about complementary angles at brainly.com/question/21400774

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