Answer:
see the prove below
Step-by-step explanation:
<u>We have to prove that </u><u>MOC=(AOM+BOM)/2</u>
Let Angle AOM=x and AOC=y . => AOB=2y ( because OC is the bisector of AOB)
So MOC= AOM+AOC=x+y
BOM=AOB+AOM=2y +x
AOM+BOM= x+2y+x=2y+2x
(AOM+BOM)/2= (2y+2x)/2=x+y=MOC
The statement is proved
Answer:
Step-by-step explanation:
Let x = length
Then width = (1/2)x
Perimeter = 2(length) + 2(width) = 54
length + width = 27
So, x + (1/2)x = 27
(3/2)x = 27
x = 27(2/3) = 18 (1/2)x = 9
Answer: length = 18 cm and width = 9 cm
When you write an equation of a line, you first have to find the slope. The equation for slope is (y∨2 - y∨1) / (x∨2 - x∨1), so fill that in with your coordinates.
(48 - 6) / (4 - 1) Subtract your two sets.
42 / 3 Divide
14
So, you know the slope of the equation is 14. Now, you fill in the point-slope equation, (y - y∨1) = m(x - x∨1). Fill it in with one set of coordinates and solve.
(y - 6) = 14(x - 1) Distributive Property
y - 6 = 14x - 14 Add 6 to both sides.
y = 14x - 8
It is all real numbers if that helps
