∠ADC = 112°
∠ADC =6x + 7 + 12x - 3
Equate both:
6x + 7 + 12x - 3 = 112
Solve for x :
6x + 7 + 12x - 3 = 112
Combine like terms:
18x + 4= 112
Take away 4 from both sides:
18x = 108
Divide both sides by 18:
x = 6
Find ∠ADB:
6x + 7 = 6(6) + 7 = 43
Answer: ∠ADB = 43°
Answer:
27.5 /100 are running for a cause
Step-by-step explanation:
We know that 220/800 are running for a cause
Divide the top and bottom by 8 to get the fraction out of 100
220 /8 =27.5
800/8 = 100
27.5 /100 are running for a cause
Answer:
15.14 cm^2
Step-by-step explanation:
Area of rectangle = 4cm x 3 cm = 12cm^2
Radius of the circle = 2 cm
Area of 1/4 of a circle = (pi x r^2) / 4
= (3.14 x 4) / 4 = 3.14 cm^2
3.14 cm^2 + 12cm^2 = 15.14 cm^2
Answer: (-2;8)
![\left \{ {{3x+3y=18} \atop {2x+y=4}} \right. \\\\\left \{ {{x+y=6} \atop {2x+y=4}} \right. \\\\=>\left \{ {{x=4-6} \atop {x+y=6}} \right. \\\\\left \{ {{x=-2} \atop {x+y=6}} \right. \\\\\left \{ {{x=-2} \atop {y=6-(-2)=8}} \right.](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7B3x%2B3y%3D18%7D%20%5Catop%20%7B2x%2By%3D4%7D%7D%20%5Cright.%20%5C%5C%5C%5C%3C%3D%3E%5Cleft%20%5C%7B%20%7B%7Bx%2By%3D6%7D%20%5Catop%20%7B2x%2By%3D4%7D%7D%20%5Cright.%20%5C%5C%5C%5C%3D%3E%5Cleft%20%5C%7B%20%7B%7Bx%3D4-6%7D%20%5Catop%20%7Bx%2By%3D6%7D%7D%20%5Cright.%20%5C%5C%5C%5C%3C%3D%3E%5Cleft%20%5C%7B%20%7B%7Bx%3D-2%7D%20%5Catop%20%7Bx%2By%3D6%7D%7D%20%5Cright.%20%5C%5C%5C%5C%3C%3D%3E%5Cleft%20%5C%7B%20%7B%7Bx%3D-2%7D%20%5Catop%20%7By%3D6-%28-2%29%3D8%7D%7D%20%5Cright.)
Step-by-step explanation: