The difference between the 26 mile trip and 38 mile trip is 12 miles.
The difference in the price is $3.00 ($65.50 - $62.50)
So those 12 miles cost $3.00 $3.00÷12 = $.25 per mile
We can use either given trip to solve. I will use the 38 mile trip.
The difference between 38 miles and 54 miles is 16 miles. At $.25 a mile those 16 miles will add $4.00 to the price. ($.25 x 16 = $4.00)
Since the 38 mile trip costs $65.50 we add $4.00 and get $69.50 for a 54 mile trip.
since by the provided tickmarks WE ≅ ER, and QE ≅ ET, then both triangles are congruent by LL theorem, Leg Leg.
anyhow, since those legs are congruent, their hypotenuses must also be congruents, and we could use the HL theorem as well.
Xterm correct answer is =11
The compound inequality is: x<20 and x>10
Given, a quantity of x is greater than 10 and less than 20.
A compound inequality (also known as a compounded inequality) is created when two or more inequalities are coupled with and. One part of an inequality must be true for a value to be a solution to an or inequality. It must make both parts true in order to be the solution to an inequality. X<3 or X>2, for instance.
Divide a compound inequality into two independent ones before attempting to solve it. Choose either a union of sets ("or") and an intersection of sets as the appropriate response ("and"). Then, resolve the graph and all inequalities.
Simply put, a compound inequality is more than one inequality that we want to address simultaneously. When referring to the resolution of both inequalities, we can either use the term "and" or "or."
Learn more about Compound Inequality here:
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9x+3y=36
3y=-9x+36
y=-3x+36
For lines to be perpendicular their slopes must be negative reciprocals of each other...mathematically:
m1*m2=-1 and in this case for a line to be perpendicular to y=-3x+36 that line must have a slope of:
-3m=-1, m=1/3 so
y=x/3+b, and using point (6,2) we can solve for b, the y-intercept...
2=6/3+b
2=3+b
b=-1 so the perpendicular line passing through the point (6,2) is:
y=x/3-1 or more neatly...
y=(x-3)/3
