Because the number is even, then the number of possible combinations will be: 110/2 = 55 let's consider a simpler example, the number: 10, then we have: 10+0, 9+1, 8+2, 7+3, 6+4, which is equal to 10/2 =5 combinations. Note: We are not considering permutations between the elements of the sum therefore 10+0, 0+10 counts as one combination.
Answer:
Segment DE is half the length of segment AC. -- Substitution property of equality
Step-by-step explanation:
Here is given a proof for proving line joining mid segment is parallel and half the length of third side.
Stepwise proof is given in two columns
We find that for every line there is a justification as
STatement Justification
D and E coordinates found out MId point formula
DE and BC are measured Distance formula
DE=1/2 BC Substitution property of equality
This justification was missing in the given proof and with this included proof would be complete
The answer is $45
Let's make the system of equations.
x - the cost of the car
y - the amount Matthew has
<span>Matthew currently has enough money to buy 45 toy cars:
y =45x
</span><span>If the cost of each car was 10 cents less, Matthew could buy 5 more cars:
y = (x - 10)*(45 + 5)
45x = (x - 0.10) * 50
45x = 50x - 5
5 = 50x - 45x
5 = 5x
x = 5 / 5
x = 1
y = 45x = 45 * 1 = $45</span>
SOH CAH TOA
sin(P) = opp./hyp. = 5/13
tan(T) = opp./adj. = 12/5
cos(T) = adj./hyp. = 5/13
