Picture relating to the question can be found in the picture attached below.
Answer:
Angle DCA = Angle CAB
Angle A + Angle B + Angle C = 180°
18 + 3x + 3x = 180
27°
Step-by-step explanation:
For 1:
Angle DCA = Angle CAB (Alternate angles are equal)
Angle DCA = 18°, Hence, CAB = 18°
2)
Angle A + Angle B + Angle C = 180° (sum of interior angles in a triangle)
3.)
Angle A = 18°
Angle B = 3x
Angle C = 3x
18° + 3x + 3x = 180°
4.)
18 + 3x + 3x = 180
18 + 6x = 180
6x = 180 - 18
6x = 162
x = 162 / 6
x = 27°
You - 4 from 5 then 1 left then 1 multiple by 1 ....answer is 1
We can set up a system of equations:
x + y = 12
x - y = 4
Adding these two together:
2x = 16
x = 8
Substituting 8 in the first equation:
8 + y = 12
y = 4
Hope this helps!
Answer: answer is 13
Step-by-step explanation: -6 -2 = -8
5 + 4 + 14 = 23
-8 + 23 = 13
Answer:
Step-by-step explanation:
Big circle:
R = radius = diameter ÷2 = 42 ÷ 2 = 21 cm
Area of big circle= πR²

Small circle:
Diameter of small circle = radius of big circle = 21 cm
r = 21/2 = 10.5 cm
Area of small circle = πr²

Area of shaded region = area of big circle - area of small circle
= 1386 - 346.5
= 1039.5 cm²