|a| = -a if a < 0
The absolute value and the opposite of rational number is equal when a number is negative.
Examples:
|-7| = - (-7) = 7
|-0.5| = - (-0.5) = 0.5
Step-by-step explanation:
angles a,f,g form a triangle
sum of angles in ∆ = 33 + 112+ a = 180
145 + a = 180
a = 35°
Since they are similar, you need to find the ratio of similarity (I made up the term, there is probably a correct one that I can’t remember).
If you divide 16/40, you’ll find that that ratio is 2.5. So then you just multiply 16 x 2.5. You’ll get 18.
18 is the length of the top of the trapezoid.
You set 18=2x+4 and solve it algebraically. Subtract 4 from both sides.
14=2x
Divide by 2 and x=7
(You can also check that the ratio is right by 16/18 is the same decimal value as 40/45. You’ll get .88888...)
You could multiply 118.56 by .16 which is 19 dollars rounded and subtract 19 from 117.56 to get your answer
If you would like to solve x^5 * x^4 * x^3, you can do this using the following steps:
<span>x^5 * x^4 * x^3 = x^(5 + 4 + 3) = x^12
</span>
The correct result would be x^12.