well, -5/8 is -0.625.
the absolute value of -0.625 is 0.625.
and abs value of -5/8 is 5/8
By exterior angle of triangle:
17x+4+8x+1=80
x=3
The slope of the given line is -4/5. The line perpendicular to that line will have a slope that is the opposite reciprocal. In other words, the perpendicular slope will be 5/4. If it passes through (4, 12), we have an x and a y value to use in y=mx+b. y is 12, x is 4, and we have a slope of 5/4. Filling in accordingly:
and 12 = 5 + b. So b = 7. Rewriting with our new slope and b value,
. And there you go!
<span>How did the equation 2t + 16 ≤ 30 came about?
The left side of the equation, 2t + 16, represents Alex's expenses. 16 stands for the admission and lunch ( 8+8 = 16) and 2t stands for 't' tickets times 2, since each costs $2. The right side of the equation is the limit expense which is equal to 30. Lastly, the inequality stands for 'less than or equal to'. Solving the equation,
2t </= 30 - 16
2t </= 14
t </= 7
This means that Alex should only get less than or equal to 7 tickets. Particularly, Alex is only limited to 7 tickets. The answer is letter B.</span>