Answer: 131°
Step-by-step explanation:
Supplementary angles are the angles that when we add them together, their sum is equal to 180°.
From the question, we are informed that angle w and angle v are supplementary angles and angle v=49.
V + W = 180°
49° + W= 180°
W = 180° - 49°
W = 131°
Based on the problem statement you can write two equations for the cost of tables (t) and chairs (c).
.. 6c +2t = 20
.. 3c +5t = 35
You can solve these by your favorite method to find the costs are
.. chairs cost $1.25
.. tables cost $6.25
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My favorite method is to use the graphing calculator at Desmos [dot] com. Many graphing calculators will solve equations like these either directly, graphically, or indirectly using matrix functions. If you want to solve them by "elimination," you can double the second equation and subtract the first to get
.. 8t = 50
Answer:
The area of the entire rectangle is given by: x^3 + 11x^2 + 18x
Step-by-step explanation:
The calculation of its area is straightforward, we only need to multiply its height times its width:
A = (x + 9)(x^2 + 2x)= x^3 + 2x^2 + 9x^2 +18x = x^3 + 11x^2 + 18x
Therefore the are are of the entire rectangle is given by: x^3 + 11x^2 + 18x