(please explain?
Answer:
m+n=140
Step-by-step explanation:
While it may seem you need to find the measure of m and n, you don't. Looking at the angle with measure of 40 degrees you can see inside the triangle that the top angle is congruent to the angle of 40 degrees. Now that you know that the top of the angle is 40 degrees then knowing a triangle is 180 degrees total you can infer that m+n=140 because adding 140 to 40 is also 180.
A.
11.3
B.
–3.5
C.
36.9
D.
–22.1
Answer:
Can't be solved.
Step-by-step explanation:
Answer: B = 43.9 , b = 18 71 , c = 8.45
Step-by-step explanation:
from the law of sine,
a b c
--------- = ---------- = ----------- a =25.3, C = 18.2 degree, A = 110.8 deg.
Sine A Sine B Sine C
to get the value of c,
a c
--------- = -----------
Sine A Sine C,
25.3 c
----------- = -------------
Sine 110.8 Sine 18.2
Now cross multiply to get the value of c
c x Sine 110.8 = 25.3 x Sine 18.2
Therefore c = 25.3 x Sine 18.2
------------------------
Sine 110.8
checking for Sine 18.2 in your log tables/calculators , ie, sine 18 under 2, = 0.3123 and sine 110.8 = 0.9348
c = 25.3 x 0.3123
--------------------
0.9348
= 8.45.
To get angle B, sum total of a triangle is supplementary ie, 180 degree.
meaning that A + B + C = 180
Therefore, angle B = 180 - ( 110.8 + 25.3)
= 180 - 136.1
= 43.9
Now to find b,
b c
------------- = ------------
Sine B Sine C
b 8.45
--------- = ------------
Sine 43.9 Sine 18.2
b x sine 18.2 = 8.45 x Sine 43.9
b = 8.45 x 0.6934
--------------------
0. 3123
b = 18.708
= 18.71.
The final Answer = B = 43.9, b = 18.71, c = 8.45