Answer:
An angle bisector is a line passing through the vertex of the angle that cuts the angle into two equal smaller angles.
Given: MN is angle bisector,
then
....... [1]
Congruent angles are two or more angles that have the same measure.
then;
by definition of congruent angles
[1]⇒ 
......[2]
By the Angle addition postulates states that if M is in the interior of ∠JMK then,
......[3]
Now, by substitution property ; substitute the equation [2] in [3] we get;
......[4]
Like terms terms whose variables are the same
Combine like terms in equation [4] we get
......[5]
Division property of equality states that you divide the same number to both sides of an equation.
Divide by 2 to both sides in equation [5] , we get
#42.
14n - 32 = 22
add 32 to both sides
14n - 32 + 32 = 22 + 32
simplify
14n = 54
divide both sides by 14
14n/14 = 54/14
simplify
n = 3 12/14
n = 3 6/7 or n = 3.857
Answer:
x and y
Step-by-step explanation:
because it make sense
For zeroes of r1,r2,r3, the factors of the function, f(x) are
(x-r1)(x-r2)(x-r3)
zeroes of -3,-5,2
(x-(-3))(x-(-5))(x-2)=
(x+3)(x+5)(x-2)
f(x)=(x+3)(x+5)(x-2)
expanded
f(x)=x³+6x²-x-30
Answer:
i) not similar but corresponding angles have equal measures.
the blue object required to be dragged to the box is the fourth object which is a square. A square will not have proportional lengths and is not similar to the given figure but the corresponding angles will have equal measures.
ii) not similar but side lengths are proportional.
the blue object required to be dragged to the box is the first object which is a parallelogram. A parallelogram will have proportional lengths and is not similar to the given figure because the corresponding angles do not have equal measures.
Step-by-step explanation:
i) not similar but corresponding angles have equal measures.
the blue object required to be dragged to the box is the fourth object which is a square. A square will not have proportional lengths and is not similar to the given figure but the corresponding angles will have equal measures.
ii) not similar but side lengths are proportional.
the blue object required to be dragged to the box is the first object which is a parallelogram. A parallelogram will have proportional lengths and is not similar to the given figure because the corresponding angles do not have equal measures.
