Answer:
Adult tickets sold: 156
Step-by-step explanation:
Adult ticket: x
Student ticket: y
x + y = 260 ===> -6(x + y = 260) ===> -6x -6y = -1560
6x + 4.5y = 1404 ===> 6x + 4.5y = 1404
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add the two equations to eliminate a variable: -1.5y = -156
divide by -1.5: y = 104
substitution to find x:
x + y = 260
x + 104 = 260
x = 156
Answer:
at first we put the numbers in order from least to greatest
2 , 6 , 6 , 7 , 8 , 9
1st quartile = 6
median = (6+7)/2 = 6.5
3rd quartile = 8
Answer:
Following are the responses to the given points:
Step-by-step explanation:
Dilation implies the triangle
stretched through the factor "2".
right triangles:
![\Delta XYZ and \Delta ACB \\\\\angle X \cong \angle A \leftarrow given\\\\](https://tex.z-dn.net/?f=%5CDelta%20%20XYZ%20and%20%5CDelta%20%20ACB%20%5C%5C%5C%5C%5Cangle%20X%20%5Ccong%20%5Cangle%20A%20%5Cleftarrow%20given%5C%5C%5C%5C)
complementary angles:
![\angle X \ and\ \angle Z](https://tex.z-dn.net/?f=%5Cangle%20X%20%5C%20and%5C%20%20%5Cangle%20Z)
![m\angle Z = 90^{\circ} - m\angle X \\\\](https://tex.z-dn.net/?f=m%5Cangle%20Z%20%3D%2090%5E%7B%5Ccirc%7D%20-%20m%5Cangle%20X%20%5C%5C%5C%5C)
complementary angles:
![\angle A \ and\ \angle B](https://tex.z-dn.net/?f=%5Cangle%20A%20%5C%20and%5C%20%20%5Cangle%20B)
![m\angle B = 90^{\circ} - m\angle A \\\\\therefore \\\\ \angle Z \cong \angle B \\\\\Delta XYZ \sim \Delta ACB \\\\](https://tex.z-dn.net/?f=m%5Cangle%20B%20%3D%2090%5E%7B%5Ccirc%7D%20-%20m%5Cangle%20A%20%5C%5C%5C%5C%5Ctherefore%20%5C%5C%5C%5C%20%5Cangle%20Z%20%5Ccong%20%5Cangle%20B%20%5C%5C%5C%5C%5CDelta%20%20XYZ%20%5Csim%20%20%5CDelta%20ACB%20%5C%5C%5C%5C)
Same triangles: proportional side are corresponding, congruence angles are respective.
Calculating the length of leg XY:
![XY = \sqrt{((5.59)^2 - 52)} \cong 2.4996 (units)\\\\\frac{CB}{YZ} = 2 \leftarrow given \\\\CD = 2YZ = 2 \times 5 = 10 \ (units)\\\\\frac{AC}{XY} = 2 \leftarrow \ given\\\\AC = 2XY \cong 2 \times 2.4996 \cong 4.999\ (units)\\\\](https://tex.z-dn.net/?f=XY%20%3D%20%5Csqrt%7B%28%285.59%29%5E2%20-%2052%29%7D%20%5Ccong%202.4996%20%28units%29%5C%5C%5C%5C%5Cfrac%7BCB%7D%7BYZ%7D%20%3D%202%20%5Cleftarrow%20given%20%5C%5C%5C%5CCD%20%3D%202YZ%20%3D%202%20%5Ctimes%205%20%3D%2010%20%5C%20%28units%29%5C%5C%5C%5C%5Cfrac%7BAC%7D%7BXY%7D%20%3D%202%20%5Cleftarrow%20%20%5C%20given%5C%5C%5C%5CAC%20%3D%202XY%20%5Ccong%202%20%5Ctimes%20%202.4996%20%5Ccong%204.999%5C%20%20%28units%29%5C%5C%5C%5C)
I believe that it is B. Hope this helps!
The answer is choice C. The reason why is because f(2010) = t(2010). The outputs of the f(x) and t(x) functions are the same when the input is x = 2010. In this case, the output is 740.