Answer:
???????
Step-by-step explanation:
∠4 = 90 (verticallyopposite)
∠2 = 68 (verticallyopposite)
∠6 = ∠2 + ∠4 (exterior angles = sum of opposite angles)
∠6 = 68 + 90 = 158°
Answer: 158°
Answer:
1
Step-by-step explanation:
.5 x 2 = 1
Since (4y-42) and 2y are opposite angles, they equal to each other which looks like this:
4y-42 = 2y
From there you want to put the y onto one side:
4y-2y-42=0 -----> 2y-42=0
You want to balance the equation out and move the -42 onto the other side so you add it to both sides to get:
2y=42
Then divide both sides by 2 to get:
y= 21
From there you can plug 21 back into the original equation to find each angle.
4(21)-42 = 2(21) ---> 84-42 = 42 ---> 42 = 42
So y = 21 and each angle is 42 degrees
This represents the function : y = log₆ (x).
Proof:
Rewrite this logarithmic function into an exponential form:
y = log₆ (x) ↔ x = 6^y
On the graph we see 2 major points A(1,0) and B(6,1). Plug them in x=6^y
1 = 6⁰ = 1 (true)
6 = 6¹ True, then this confirm that the graph equation is y = log₆ (x)