Let's use the SAS postulate! SAS means Side, Angle, Side. I would sometimes write this the other way and get in trouble, haha.
It technically means if a triangle that has a congruent angle between two congruent sides, it means it is congruent. Here is a picture.
The amount that will be saved yearly oh the utility bills will be $65 each year.
<h3>How to calculate the amount of utility saved</h3>
From the information given, the cost per load on hot wash is given as 71 cents per load and the cost of warm wash is given as 25 cents per load.
Therefore, the yearly cost for hot wash will be:
= 71 cents × 365
= 25915 cents
In this case, she cuts down the amount of laundry that she does in hot water to one-half will be:
= 25915 cents × (3/4 - 1/2)
= $259.15 × 0.25
= $65
In conclusion, the correct option is $65.
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The z-score associated with 14.3 is 0.84. 0.2995 of the population is between 12.2 and 14.3. 0.1894 of the population is less than 10.0.
The formula for a z-score is
z=(X-μ)/σ
With our data, we have:
z=(14.3-12.2)/2.5=0.84
The z-score associated with the mean is 0.5. To find the proportion of the population between the mean and 14.3, subtract 0.7995 (the proportion of population below the z-score of 0.84, using http://www.z-table.com) and 0.5:
0.7995 - 0.5 = 0.2995.
The z-score for 10.0 is
(10.0-12.2)/2.5 = -0.88. The proportion of the population less than this is 0.1894.
(m + 3)^2 -16
=(m + 3)^2 - 4^2
=((m+3) + 4)*((m+3) - 4)
=(m+7)(m-1)
Here are the formulas i used:
so first i made 16 to 4^2, then i use (a^2 -b^2)= (a+b)(a-b) . In this case a would be (m+3) and b is 4.