Where the angle bisectors intersect determines the center of the incircle.
Where the side perpendicular bisectors intersect determines the center of the center of the circumcircle. From these definitions, you should be able to determine the points you want.
Since it is given that the reduction in the amount of waste each week is linear, it is conclusive that these data are also in arithmetic sequence. First, determine the common difference (d)
d = (a10 - a5) / (10 - 5)
Subsituting the known values,
d = (30 - 40) / 5 = -2
To determine any term (at) of the arithmetic sequence,
at = a1 + (n - 1) x d
Solve for a1 by using either the given a5 or a10,
40 = a1 + (5 -1) x -2 ; a1 = 48
The equation becomes,
at = 48 + -2(n -1)
We must look at each equation and pick out which property matches with the choices
For the equation:
5(8+3)=5*8+5*3
The property is
Distributive Property
For the equation:
4x+(5x+3)=9x+3
The property is
Commutative property of Addition
For the equation:
a+b=b+a
The property is
Associative Property of Addition
Answer:
- 7/5
Step-by-step explanation:
7*5
10*2
35/20 - -35/20
- 7/5
1. Any exponent that is 0 is always 1
