Step-by-step explanation:
a(n) = a +(n-1)d
a=-5
d=5
a(n) = -5 +(n-1)5
=-5+5n-5
=5n-10
a(50) = -5 +(50-1)5
= 240
hope this helps
There are 14 nickels and 7 dimes.
(You can check by multiplying 14 by 5 for nickels and 7 times 10 for dimes. This would add up to 1.35)
Answer:
Is x = 4 a solution to the equation 6 = x + 2? YES
Is x = 4 a solution to the inequality 2x ≥ 9? NO
Step-by-step explanation:
Is x = 4 a solution to the equation 6 = x + 2? YES
we cans solve the equation 6=x+2 by clearing for x:
6 = x + 2
we move the +2 on the right as a -2 to the left:
6 - 2 = x
4 = x
this way we find that indeed x = 4 is a solution to 6 = x + 2.
Is x = 4 a solution to the inequality 2x ≥ 9? NO
Let's solve the inequality by clearing for x:
2x ≥ 9
we move the 2 that is multiplying on the left to divide on the right side:
x ≥ 9/2
x ≥ 4.5 ⇒ <u>x must be greater than or equal to 4.5</u>
thus, <u>4 is not a solution to the inequality</u> because 4 is less than 4.5
Answer:
Step-by-step explanation:
<u>Missing reasons are:</u>
- 2. Vertical angles theorem
- 3. Definition of vertical angles
- 4. Third angle theorem
- 5. Given
- 6. Given
- 7. Definition of bisect
- 8. SSS