Answer:
x = 60
Step-by-step explanation:
Recall: one of the properties of a parallelogram is that consecutive angles are supplementary. This means they add up to given 180°
2x and x are consecutive angles. Therefore:
2x + x = 180
3x = 180
Divide both sides by 3
3x/3 = 180/3
x = 60
Answer: 31.5ft²
Step-by-step explanation:
For any given triangle with two adjacent sides and an opposing angle, the area is determined by the formula:
1/2 * length A * length B * sin of angle of opposing side.
That is, if lenght A=x, length B= y and opposing angle is given as Z, then the area of such triangle becomes:
Area = 1/2 *x*y*sin Z
For the given triangle, x = 11feet, y = 10feet, Z=35°
Area= 1/2 * 11 * 10 * sin 35
Area = 31.5469ft²
Rounding up to the nearest tenth,
Area = 31.5ft²
so the difference of 561,000 - 438,000 = 123000.
now, if we take 438,000, original amount, as the 100%, what is 123000 off of it in percentage?
![\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 438000&100\\ 123000&x \end{array}\implies \cfrac{438000}{123000}=\cfrac{100}{x}\implies \cfrac{146}{41}=\cfrac{100}{x} \\\\\\ 146x=4100\implies x=\cfrac{4100}{146}\implies x=\cfrac{2050}{73}\implies x\approx 28.08](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7Bccll%7D%20amount%26%5C%25%5C%5C%20%5Ccline%7B1-2%7D%20438000%26100%5C%5C%20123000%26x%20%5Cend%7Barray%7D%5Cimplies%20%5Ccfrac%7B438000%7D%7B123000%7D%3D%5Ccfrac%7B100%7D%7Bx%7D%5Cimplies%20%5Ccfrac%7B146%7D%7B41%7D%3D%5Ccfrac%7B100%7D%7Bx%7D%20%5C%5C%5C%5C%5C%5C%20146x%3D4100%5Cimplies%20x%3D%5Ccfrac%7B4100%7D%7B146%7D%5Cimplies%20x%3D%5Ccfrac%7B2050%7D%7B73%7D%5Cimplies%20x%5Capprox%2028.08)
Answer:
29.095
Step-by-step explanation:
115 x 253 = 29095 mL
convert mL to Liters
Just do 29095 divided by 1000
Answer:
D
Step-by-step explanation:
The domain of a graph is its horizontal extent. It is all the values of x for which a function value is defined.
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This graph shows a relationship that is defined from x=0 to x=7. It is not restricted to integer values of x. The domain is ...
real numbers from 0 to 7.