You have the right answer. n + p = m because inside angle + inside angle = outside angle.
Let q be the number of 25 cent coins.
Let d be the number of 10 cent coins.
0.25q+0.10d= 3.95...(1)
q-d=6...(2)
(2)-> q-d= 6
q-d+d= 6+d
q= 6+d...(2a)
(2a)-> (1) 0.25q+0.10d=3.95
0.25(6+d)=0.10d= 3.95
1.95+0.25d+0.10d= 3.95
0.35d= 3.95-1.5
0.35d/0.35= 2.45/0.35
d= 7...(3)
(3)->(2) q-d= 6
q-7= 6
q=6+7
q= 13
There are 13 quarters and 7 dimes.
Answer: No
Step-by-step explanation:
According to triangle inequality theorem which state that: the sum of any 2 sides of a triangle must be greater than the measure of the third side.
Now let's test the given parameters if they obey this theorem
4 inches, 5 inches and 1 inch
4 + 5 = 9
9 > 1 correct
5 + 1 = 6
6 > 4 correct
4 + 1 = 5
5 not > 5 wrong
Therefore he won't be able to create the triangular component with these toothpicks without modifying any of the lengths
Answer:
the answer is either c or b
