Answer:
70 degrees.
Step-by-step explanation:
Let the angle be x then:
Its supplement is 180-x.
Its complement = 90 - x.
The supplement of the complement = (180 - (90 - x) = 90 + x.
So we have the equation:
180 - x = 2(90 + x) - 60.
180 - x = 180 + 2x - 60
- x - 2x = 180 - 180 - 60
-3x = -60
x = 20 degrees
So the measure of the complement = 90 - 20 = 70 degrees.
20 is your answer because if its 0-4 it has to go lower 5-9 it goes higher
Answer:
3/20
Step-by-step explanation:
because there is only 3 purple socks out of 20 socks total
Answer:
B Infinite Solutions
Step-by-step explanation:
3 (x - 8) = 3x - 24
3x - 24 = 3x - 24
+ 24 + 24
3x = 3x
x = x
Infinite solutions
Answer:
1.) Yes
2.) Yes
Step-by-step explanation:
Given that
n = k(k + 7)
If k is a positive integer and n = k(k + 7), is n divisible by 6 ?
(1) k is odd. Yes.
Let assume that k = 3
Then, n = 3(3 + 7)
n = 3 × 10
n = 30.
30 is divisible by 6.
(2) When k is divided by 3, the remainder is 2. That is,
Let k = 5
Then,
5/3 = 1 remainder 2
Substitute k into the equation
n = k(k + 7)
n = 5(5 + 7)
n = 5 × 12
n = 60
And 60 is divisible by 6.
Therefore, the answer to both questions is Yes.