Answer:
a) 10.7 cm
b) 11.6 cm
c) 29.9 cm²
Step-by-step explanation:
a) sin(α)/a = sin(β)/b
sin(∠BCD)/BD = sin(DBC)/DC
sin(41°)/BD = sin(55°)/13.4
BD = 13.4*sin(41°)/sin(55°) = 10.73 cm ≈ 10.7 cm
b) From ΔBCD , ∠BDC = 180-(41+55) = 84°
∠ABD and ∠BDC are alternate interior angles, so they are congruent, and
∠ABD = ∠BDC = 84°
AD²= AB² + BD² - 2*AB*BD*cos (∠ABD) =
= 5.6² + 10.73² - 2*5.6*10.73*cos(84°) = 133.93 cm²
AD =√(133.93) ≈11.6 cm
c) Area(ADB) = (1/2)*AB*BD*sin(∠ABD)=(1/2)*5.6*10.73*sin(84°) ≈ 29.9 cm²
1. 3x - 19 = 2
+19 +19
3x = 21
÷3 ÷3
x= 7
2. 4x + 12x = 6² + 4(11)
16x = 36 + 44
16x = 80
÷16 ÷16
x= 5
Answer:
He made $372
Step-by-step explanation:
1692/ 36=47
47*8=372
Answer:
a
Step-by-step explanation:
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Answer:
B
Step-by-step explanation:
A "or equal to" sign always contains a black colored in circle... With it's pointy end pointing at which direction it is being located.
