Answer
with
Step-by-step explanation:
Statement Reasons
1.∠1 ≅ 4 Given
2.∠1 = ∠2 Being Vertically opposite angles.
3.∠4 = ∠3 Being Vertically opposite angles.
4.∠2 = 3 From Statement no 2 & 3, Transitive property.
5.∠2 ≅ 3 From Statement 4
Proved.
Answer:
226.084 sq.m.
Step-by-step explanation:
Radius of circle = 18.6 cm
Area of sector = 
Area of sector = 
Area of sector = 
Area of triangle = 
a = OA = radius = 18.6 cm
b = OB = radius = 18.6 cm
x =123 °
Substitute the values in the formula
Area of triangle = 
Area of triangle = 
So, Area of shaded region = Area of sector - Area of triangle
=
=
Hence the area of the shaded region is 226.084 sq.m.
Answer:
10xy-5
Step-by-step explanation:
15xy-4+2xy-7xy-1 is the given expression.
I assume the directions say to simplify.
Group the xy terms together and group the constants together.
15xy+2xy-7xy-4-1
This is a demonstration of the commutative property.
Now I will use the distributive property to rewrite the first 3 terms as a multiplication:
(15+2-7)xy-5
10xy-5