Answer:
156 [in²].
Step-by-step explanation:
1) total area consists of six parts (all the details are in the attachment):
A=2A₁+2A₂+A₃+A₄;
2) according to the formula above:
A=2*5*3+2*0.5*(6+12)*4+6*3+12*3=156 [in²].
It is a 100 degrees vertical angles are congruent
Answer: 0.000
Step-by-step explanation:
As with any triangle, the sum of angles is 180°.
(a)
(x -5) +(3x +30) +35 = 180 . . . . . sum of angles is 180
4x +60 = 180 . . . . . . . . . . . . . . . . collect terms
4x = 120 . . . . . . . . . . . . . . . . . . . . subtract 60
x = 30 . . . . . . . . . . . . . . . . . . . . . . divide by 4
(b)
Angle A = x -5 = 30 -5 = 25
Angle B = 3x +30 = 3*30 +30 = 120
