Angles in a triangle adds up to 180
180 - (25.5 +120.2) = 34.3
So, missing angle is 34.3 degrees
Hope this helps!
Answer:
b. 28x + 8y +2
Step-by-step explanation:
you need to distribute the -2 to all the numbers inside parentheses and then combine like terms.
-2*3x= -6x
-2*12y= -24y
-2*-5= 10 (remember neg times neg = pos)
-2*17= 34x
-2*-16y=32y
-2*4= -8
Now combine like terms
34x-6x= 28x
32y-24y=8y
10-8=2
Write the expression: 28x + 8y +2
Answer:
6.7 cm
Step-by-step explanation:
To make use of the Law of Sines for finding b, you need to know the missing angle B. Since the sum of the angles of a triangle is 180°, you can find angle B as ...
B = 180° -82° -55° = 43°
Now, you put the numbers you know into the formula given and solve for b.
sin(A)/a = sin(B)/b
sin(55°)/(8 cm) = sin(43°)/b
Cross multiplying gives ...
b·sin(55°) = (8 cm)·sin(43°)
and dividing by the coefficient of b gives you ...
b = (8 cm)·sin(43°)/sin(55°) ≈ 6.7 cm
