There is a theorem that states that the two triangles made from connecting a rectangles opposing vertices produces two identical triangles. you can then use the cpctc theorem to prove the angles are congruent. it can also be proven by using the hypotenuse-leg theorem; US=SU because of the symmetric property, RU=ST because RUTS is a rectangle and therefore its parallel sides are congruent, ∠URS and <span>∠UST are right because RUTS is rectangular, therefore triangleUSR=triangleSUT because of the hypotenuse leg theorem, </span>∠USR=<span>∠SUT becuase of CPCTC</span>
The data is larger for intermediate values of x, so the parabola opens downward. That leaves only the 2nd and 4th choices, where the x² coefficient is negative.
To determine which of those is appropriate, it is only necessary to consider x=1. The 2nd choice will give a y-value near 100; the 4th choice will give a y-value near 250.
The fourth choice is appropriate:
... y = -9.16x² +73.04x +183.3
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Alternatively, you can consider that for the x-coordinate of the vertex to be positive (it's about +4), the coefficients of the x² and x terms must have opposite signs. Using this consideration, you don't even need to evaluate the expression to determine that the 4th choice is the correct one.
Remove the unnecessary parentheses so it would be -1.3x - 4.5 + 2.1x -3.6. combine the like terms -1.3x & + 2.1x & it becomes 0.8x & then you combine -4.5 -3.6 & it becomes -8.1 so your answer is 0.8x-8.1 !! let me know if that was right
Answer:
$7075 or 7718
Step-by-step explanation:
91100-6200=84900
84900/11= 7718.18181818 or rounded= 7718
(This is if the december month doesnt count.)
84900/12=7075
(If december is included.)