A line parallel to the given one will have the same slope, 0.5. For the purpose here, it is convenient to start with a point-slope form of the equation, then simplify. For slope m and point (h, k), the equation of the line can be written as
... y = m(x -h) +k
We have m=0.5, (h, k) = (-9, 12), so the equation is ...
... y = 0.5(x +9) +12
... y = 0.5x +16.5
Since these are supplementary angles (two angles which sum to 180°) we can say:
4x+x=180 combine like terms on left side
5x=180 divide both sides by 5
x=36°
2. .8333333 repeated 3x1\3 is 1 the 1x5\6 is .83
3. Order of operations PMDOS 30\2 first giving you 15 then take 50-15=35
4. 10x1.5=15
5. 20+30 first because of order of operations then multiply by 10 giving you 500
6. 120 \ 12 = 10
7. 1 + 9 = 10
8. 0.15-0.02=.13x100 = 13
9. 4.9/0.07=70
Find the discount price and subtract from the total to find the sale price.
To find the discount price, multiply 90 b 40% (convert 40% into decimal)
90 x 0.4 = 36
Next, subtract the discount from the total to find the sale price.
90 - 36 = 54
So, the sale price is <u>$54</u>.
the length of segment AB is 13