Answer:
She has 9 5 cent stamps and 6 7 cent stamps.
Step-by-step explanation:
Let the number of five cent stamps be represented by F and the number of seven cent stamps be represented by S.
The difference between the number of five cent and seven cent stamps is 3
F-S=3
The sum of the collection from each type of stamp is 87 cents
5F+7S=87
Let us solve the equations simultaneously.
F-S=3
5F+7S=87
Using substitution method,
F= 3+S
5(3+S)+7S=87
15+5S+7S=87
12S=87-15
12S=72
S=6
F=3+S
=3+6=9
Therefore the number of five cent stamps is 9 and seven cent stamps is 6.
Answer:infinite
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
6x−54=6(x−9)
6x+−54=(6)(x)+(6)(−9)(Distribute)
6x+−54=6x+−54
6x−54=6x−54
Step 2: Subtract 6x from both sides.
6x−54−6x=6x−54−6x
−54=−54
Step 3: Add 54 to both sides.
−54+54=−54+54
0=0
Answer: 30 degrees
This is the minimum amount of rotation.
Why this value? Well because 360/12 = 30
Consider a triangle with 3 sides. Specifically I mean an equilateral triangle. We can rotate it 120 degrees to have it line up with itself. Now notice that 360/3 = 120.
For a square, we can rotate it 90 degrees and we can say 360/4 = 90
So the general rule is that the minimum angle of rotation is 360/n, where n is the number of sides. This rule only works for regular polygons. Regular polygons have the same side length and the same angle measure (the side and angle measure won't necessarily be equal).
So going back to this 12 sided dodecagon, we have n = 12 and 360/n = 360/12 = 30 as the minimum angle of rotation. Each 30 degree rotation will have the polygon match up perfectly with its old image. The preimage and image will be identical.
Answer:
12
Step-by-step explanation:
The 2 lines are equal in length. Therefore:-
ST = 21 - 9 = 12
Answer: at 4 months the cost for each gym is $250
Step-by-step explanation:
