The value of each winning ticket is an arithmetic series in which T (n) = -5 + 15n or $5 (3n-1). The first winner is 5 (3x1 - 1) = $10. The second winner is 5 (3x2 - 1) = $25. The tenth ticket wins $5 (3x10 - 1) = $5 (29) = $145.
A and E are corresponding angles so A=E
Answer:
Volume is increased in a factor of 8. The volume is increased from
to
.
Step-by-step explanation:
The formula for the volume of the rectangular prism is:

Where:
- Width
- Height
- Length
If dimensions are doubled, then volume is increased in a factor of 8:



The volume is increased from
to
.
Using the information from the question, one can construct two equations:

... (1)

... (2)
by substituting (1) into (2) to find x


\frac{5}{4z} = \frac{1}{4}



⇒ z = 5
By substituting value of z into (1)
⇒ 4 (5) = x
⇒ x = 20
Thus the two numbers are 5 & 20