Sum of interior angles in a pentagon=540°
148+112+2x+2x+10+90=540
360+4x=540
4x=540-360
4x=180
x=180/4
x=45°
Answer:
Claire must work 4 hours cleaning tables and 5 hours washing cars to earn more than $ 90.
Since Claire is working two summer jobs, making $ 7 per hour washing cars and making $ 15 per hour clearing tables, and in a given week, she can work at most 9 total hours and must earn a minimum of $ 90, to determine one possible solution the following calculation must be performed:
15 x 9 = 135
135 - 90 = 45
45/7 = 6.42
6 x 7 + 3 x 15 = 42 + 45 = 87
5 x 7 + 4 x 15 = 35 + 60 = 95
Therefore, at a minimum, Claire must work 4 hours cleaning tables and 5 hours washing cars to earn more than $ 90.
Answer:
SAS
Step-by-step explanation:
SSS= Side Side Side
SAS= Side Angle Side
ASA= Angle Side Angle
SAA= Side Angle Angle
HL= Height Length
the cheap answer is simply
(x-5)(x²+4x-2)
we can simply multiply the terms on one by the terms of the other and then add like-terms and simplify.
![\bf (x-5)(x^2+4x-2)\implies \begin{array}{cllll} x^2+4x-2\\ \times x\\ \cline{1-1}\\ x^3+4x^2-2x \end{array}+ \begin{array}{cllll} x^2+4x-2\\ \times -5\\ \cline{1-1}\\ -5x^2-20x+10 \end{array} \\\\\\ x^3+4x^2-2x-5x^2-20x+10\implies x^3+4x^2-5x^2-2x-20x+10 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill x^3-x^2-22x+10~\hfill](https://tex.z-dn.net/?f=%5Cbf%20%28x-5%29%28x%5E2%2B4x-2%29%5Cimplies%20%5Cbegin%7Barray%7D%7Bcllll%7D%20x%5E2%2B4x-2%5C%5C%20%5Ctimes%20x%5C%5C%20%5Ccline%7B1-1%7D%5C%5C%20x%5E3%2B4x%5E2-2x%20%5Cend%7Barray%7D%2B%20%5Cbegin%7Barray%7D%7Bcllll%7D%20x%5E2%2B4x-2%5C%5C%20%5Ctimes%20-5%5C%5C%20%5Ccline%7B1-1%7D%5C%5C%20-5x%5E2-20x%2B10%20%5Cend%7Barray%7D%20%5C%5C%5C%5C%5C%5C%20x%5E3%2B4x%5E2-2x-5x%5E2-20x%2B10%5Cimplies%20x%5E3%2B4x%5E2-5x%5E2-2x-20x%2B10%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20~%5Chfill%20x%5E3-x%5E2-22x%2B10~%5Chfill)
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