Given that,
KM bisects ∠LKJ.
m∠LKM = 4x + 12 and m∠MKJ = 6x - 6
To find,
The value of x.
Solution,
As KM bisects ∠LKJ. It would mean that,
m∠LKM = m∠MKJ
Putting the above values,
4x+12=6x-6
We can solve the above equations as follows :
4x-6x=-12-6
-2x=-18
x=9
Therefore, the value of x is equal to 9.
Answer:
x = 63°
Step-by-step explanation:
~ They are adjacent angles because they have a common (one) vertex.
~ To find the value of x we must make an equation.
Angles on a straight line add up to 180°.
117 + x = 180
x = 180 - 117
x = <u>63°</u>
Mrs Kennedy is buying pencils for 315 students.
The pencils are sold in boxes of 10.
Therefore the number of pencils she needs to buy should be a multiple of 10, so that she can buy boxes of 10 pencils each.
number of students are 315 but 315 is not a multiple of 10
so we have to round off 315 to the nearest ten, that's 320.
so then she has to buy 320 pencils
number of boxes she needs - 320 / 10 = 32 boxes of pencils
she only needs pencils for 315 students so she will have 5 extra pencils
she will have to buy 32 boxes
Answer:
4
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
Here [ a, b ] = [ 3, 4 ] , then
f(b) = f(4) = - 1 ← from table
f(a) = f(3) = - 5 ← from table , then
average rate of change = 
= 
= 4
