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
If the two angles are congruent then d=b , e=a , and f=c. That means that EF=AC so the equation is x-5=15. so x=20. Hope this helps!!!
Step-by-step explanation:
7x+22=2(5x+2)
7x+22=10x+4 (-7x)
3x+4=22 (-4)
3X=18 (divide by 3)
X=6 pencils
check if the number is correct
asha= 7*6=42 42+22 is 64
Lucy= 5*6=30 30+2 is 3264/32 is 2
asha= 7*6=42 42+22 is 64Lucy= 5*6=30 30+2 is 3264/32 is 2there fore asha sells twice as many as Lucy
Answer:
x= 31/5 (Exact form)
x= 6.2 (Decimal Form)
x= 6 1/5 (Mixed number form)
Step-by-step explanation:
Answer:
X=2
Step-by-step explanation:
When x is 2, y=3 for both equations
