Answer:
Step-by-step explanation:
intersection = { } no common elements.
union = { b,d,f,a,c,k}
Answer:
iii) a=3b/2
Step-by-step explanation:
7a-2b= 5a+b
7a-5a=2b+b
2a=3b
a=3b/2
Answer:
Rule: Output = 2 * input + 1
Right blank: Output = - 1
Left blank: Input = 4
Step-by-step explanation:
Rule
Start with the rule
Output = 2 * input + 1
Let the output = y
Let the input = x
y = 2x + 1
Now
Right Blank
x = - 1
y = 2*-1 + 1
y = -2 + 1
y = - 1
That's the output for -2
Left Blank
The second blank asks you to solve for the input (x) The output (y) is 9
9 = 2x + 1 Subtract 1 from both sides
9-1 = 2x Combine
8 = 2x Divide by 2
8/2 = 2x/2
x = 4
The angles of all triangles should always sum up to be 180, so knowing this we can solve this problem using the equation x + 3x + 5x - 54 = 180, first we want to combine all our common variables, so we add the x’s together and get 9x - 54 = 180 then we add +54 to both sides so that the x can be by itself and we have 9x = 234, we divide both sides by 9 and get our final answer of x = 26