Answer:
x=30
Step-by-step explanation:
Since the measure of an exterior angle is equal to the sum of any two angles in a triangle, the equation would be 4x-18=2x+6+36. Solve this, and we get x=30.
Hope this helped!
Answer:
See answers and explanations below (along with a visual graph)
Step-by-step explanation:
For the function 
:
Amplitude: 
Period: 
Phase shift: 
Vertical shift: 
Therefore, for 
:
Amplitude: 
, which is 2 units above and below the midline (see d)
Period: 
, so the cycle will repeat every 3π units
Phase shift: 
, or π units to the left
Vertical shift: 
, or 1 unit down
Answer:
140
Step-by-step explanation:
When working HCF and LCM problems, I like to think in terms of this little diagram:
(a [ b ) c]
It shows me one of the numbers is ab, the other is bc, the HCF is b and the LCM is abc. "a" and "c" must be relatively prime for "b" to be the HCF.
__
Here, we're given ...
b = 20
ab = 320
abc = 2240
Then ...
c = abc/(ab) = 2240/320 = 7
x = bc = 20(7) . . . . . . equivalently, x = (abc·b)/(ab) = (2240·20)/320
x = 140
Answer:
Step-by-step explanation:
bisects 
and 
.
Solve for m.
Subtract 3m from both sides.
Divide both sides by 3.
Calculate 
.
Put m = 7.
