Answer:
Let x = the third side
In a triangle, the sum of any 2 sides must be larger than the third side.
I believe this is called the triangle inequality theorem.
We can construct 3 inequalities to obtain the range of values for the third side.
(Inequality #1) 12 + 4 > x
16 > x
(Inequality#2) 12 + x > 4
x > -8 (we can discard this ... we know all sides will be positive)
(Inequality #3) 4 + x > 12
x > 8
So when we combine these together,
8 < x < 16
X (the third side) must be a number between 8 and 16. but not including 8 and 16
The price of an item has dropped to $84 today. yesterday it was $120 . find the percentage decrease.
7/10 in hundredths is 70/100
2 bags
7 apples
A) Instead of a lets say:
a = 1, 2 , 3
If a =1 then, (you already know there are 2 bags) you have 1 apple in each bag, making total of 2 apples
If a =2 then you are having 2 apples in each bag making total of 4 apples
If a =3, 3 apples in each bag, making total of 6 apples
Conclusion:
2 * 1 = 2
2 * 2 = 4
2 * 3 = 6
See the difference & pattern here
Now lets do with a
2 * a = 2a
B) If a = 6
then, 2*6 = 12
lets continue from a =3
2*4=8
2*5=10
2*6=12
See the pattern again
Tip: Drawing making problem understand better.
Answer:
no solution
Step-by-step explanation:
if you graph both equation the lines are parallel.
parallel = no solution
overlap = infinite solution
intersect = one solution
