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Answer: = -633
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Answer:
$175.45
Step-by-step explanation:
8.25 / 0.75 = 11
15.95 x 11 = 175.45
Answer:
![\mathsf{x = \frac{31}{3}}](https://tex.z-dn.net/?f=%5Cmathsf%7Bx%20%3D%20%5Cfrac%7B31%7D%7B3%7D%7D)
Step-by-step explanation:
![\textsf {Given :}](https://tex.z-dn.net/?f=%5Ctextsf%20%7BGiven%20%3A%7D)
![\implies \mathsf {x + 26 = y}](https://tex.z-dn.net/?f=%5Cimplies%20%5Cmathsf%20%7Bx%20%2B%2026%20%3D%20y%7D)
![\implies \mathsf {y - 12 = z}](https://tex.z-dn.net/?f=%5Cimplies%20%5Cmathsf%20%7By%20-%2012%20%3D%20z%7D)
![\implies \mathsf{x + y + z = 71}](https://tex.z-dn.net/?f=%5Cimplies%20%5Cmathsf%7Bx%20%2B%20y%20%2B%20z%20%3D%2071%7D)
![\textsf {Substitute for y and z in the 3rd equation :}](https://tex.z-dn.net/?f=%5Ctextsf%20%7BSubstitute%20for%20y%20and%20z%20in%20the%203rd%20equation%20%3A%7D)
![\implies \mathsf {x + x + 26 + y - 12 = 71}](https://tex.z-dn.net/?f=%5Cimplies%20%5Cmathsf%20%7Bx%20%2B%20x%20%2B%2026%20%2B%20y%20-%2012%20%3D%2071%7D)
![\implies \mathsf {2x + 14 + x + 26 = 71}](https://tex.z-dn.net/?f=%5Cimplies%20%5Cmathsf%20%7B2x%20%2B%2014%20%2B%20x%20%2B%2026%20%3D%2071%7D)
![\implies \mathsf {3x + 40 = 71}](https://tex.z-dn.net/?f=%5Cimplies%20%5Cmathsf%20%7B3x%20%2B%2040%20%3D%2071%7D)
![\implies \mathsf {3x = 31}](https://tex.z-dn.net/?f=%5Cimplies%20%5Cmathsf%20%7B3x%20%3D%2031%7D)
![\implies \mathsf {x = \frac{31}{3}}](https://tex.z-dn.net/?f=%5Cimplies%20%5Cmathsf%20%7Bx%20%3D%20%5Cfrac%7B31%7D%7B3%7D%7D)
Answer:
46°
Step-by-step explanation:
Since the 3 sides are given we can use any of the 3 trig. ratios to solve.
Using the tangent ratio in the right triangle
tan ? =
=
, thus
? =
(
) ≈ 46° ( to the nearest degree )