Answer:
x < 3.5
Step-by-step explanation:
34 + 12x < 76
12x < 76 - 34
12x < 42
x < 42 ÷ 12
x < 3.5
The answer to your question is 11 world championships
Answer:
10
Step-by-step explanation:
Hope it helps!
Answer: The correct option is 4, i.e., translation.
Explanation:
It is given that the triangle DEF is congruent to GHJ by the SSS theorem.
From the given figure it is noticed that the triangle DEF and GHI are isosceles triangle.
Reason for correct option:
In transition the side and angles of the shape are not effected and the figure transfers from one place to another place without making any other change.
Since the both triangle are congruent and the position of all sides and angles are same, therefore option 4 is correct.
Reason for incorrect option:
In dilation the size of the figure is either stretched or compressed according to the scale factor k. But in the given figure the size of both triangles are same it means option A is incorrect.
In reflection the distance of all the point in preimage and all the image are same from the central line. Any central line does not exist in given figure. SO, the option B is incorrect.
In rotation the side length and angles are not affected but the position are not same, therefore the option C is incorrect.
The function is: f ( x ) = - x² + 60 x - 116 is in the form: f ( x ) = a x² + b x + c
Part A:
x = -b / 2 a = - 60 / ( - 2 ) = 30
Then we will charge it into the function:
f ( 30 ) = - 30² + 60 · 30 - 116 = - 900 +1,800 - 116 = 784
The vertex is ( 30, 784 ).
It means that the maximum profit is $784, when 30 windshields are repaired.
Part B:
x 1/2 = ( -60 +/- √(3600 - 464 )/ (- 2 ) = ( -60 +/- 56 ) / ( - 2 )
x 1 = 2, x 2 = 58
It means that a shop has to repair at least 2 windshields and not more than 58 windshields for making a profit.
