First, rewrite the equation
with the base equal to 5. Note that:
Then

Since the bases are equal, you have that powers are equal too:

Answer: 
126 + 9x = 180
180 - 126 = 54
9x = 54
x = 6
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Answer:
D. 20°, 60°, and 100°
Step-by-step explanation:
basically you're testing which set adds up to 180°:
D should immediately catch the eye since it has a simple 100°, and 60+20 is 80, making D the correct answer
a: 189°
b: 90°
c: 120°
d: 180°
Answer:
Let x = the charge in 1st city before taxes
Let y = the charge in 2nd city before taxes
Set up equation before taxes.
y = x - 1500 eq1
Set up equation for total tax paid.
0.065x + 0.06y = 378.75 eq2
Substitute eq1 into eq2.
0.065x + 0.06(x - 1500) = 378.75
0.065x + 0.06x - 90 = 378.75
0.125x - 90 = 378.75
0.125x = 468.75
x = 3750
Substitute this value of x into eq1.
y = 3750 - 1500
y = 2250
The hotel charge in city one is $3750 and the hotel charge in city two is $2250