Answer:
x = 11
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ FEB and ∠ DEB are adjacent angles and supplementary, thus
∠ FEB = 180 - 4x , so
180 - 4x + x = 147, that is
180 - 3x = 147 ( subtract 180 from both sides )
- 3x = - 33 ( divide both sides by - 3 )
x = 11
Answer:
B, $35.20
Step-by-step explanation:
32 increase 10% =
32 × (1 + 10%) = 32 × (1 + 0.1) = 35.2
For this use the law of sines:
cross-multiply:
16×sin (J) = 11×0.97
sin(J) = 10.72/16
sin(J) = 0.67
hit the "arcsin" button on your calculator:
therefore answer B. 42 is the correct answer!!
a triangle needs to have 180 degrees in all.
65 + 65 = 130
180 - 130 = 50
x = 50 degrees