Answer:
∠ ACB = 128° and ∠ABC = 32°
Step-by-step explanation:
∠ ADC = ∠ CAD (base angles theorem)
∠ ACD = 82° (angles in a triangle add to 180°)
∠ ACB = 128° (angles around a point add to 360°)
∠ ABC = 32° (angles in a triangle add to 180°)
Check the picture below.
so is really just a thick trapezoid, or namely a trapezoidal prism 5 inches thick.
so if we just get the area of the trapezoidal face and multiply by the thickness, we'd get it's volume
![\bf \textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} a,b=\stackrel{parallel~sides}{bases}\\ h=height\\[-0.5em] \hrulefill\\ a = 8\\ b = 13\\ h = 6 \end{cases}\implies A=\cfrac{6(8+13)}{2}\implies A=63 \\\\\\ \stackrel{\textit{area of the trapezoidal prism}}{63\cdot 5\implies \stackrel{in^3}{315}}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Barea%20of%20a%20trapezoid%7D%5C%5C%5C%5C%20A%3D%5Ccfrac%7Bh%28a%2Bb%29%7D%7B2%7D~~%20%5Cbegin%7Bcases%7D%20a%2Cb%3D%5Cstackrel%7Bparallel~sides%7D%7Bbases%7D%5C%5C%20h%3Dheight%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20a%20%3D%208%5C%5C%20b%20%3D%2013%5C%5C%20h%20%3D%206%20%5Cend%7Bcases%7D%5Cimplies%20A%3D%5Ccfrac%7B6%288%2B13%29%7D%7B2%7D%5Cimplies%20A%3D63%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Barea%20of%20the%20trapezoidal%20prism%7D%7D%7B63%5Ccdot%205%5Cimplies%20%5Cstackrel%7Bin%5E3%7D%7B315%7D%7D)
Answer:
a) 245$
b) 8 hours
Step-by-step explanation:
a) 7 hours x 35$ = 245$
b) 252$ - 40$ (because the fixed charge isn't related to the hours.
=212$ for how many hours?
divide 212 by 26.50$
212/26.5= 8 hours
Answer:
31
Step-by-step explanation:
x+y = 57
x = y+5
=>
y + 5 + y = 57
=> 2×y + 5 = 57
=> 2×y = 52
=> y = 26
=> x = 26 + 5 = 31