Soccer game theory posits that the earliest participants in the game will play.
112°.
The explanation step-by-step: As trapezoid RSTU has congruent diagonals, it qualifies as an Isosceles Trapezoid. A defining property of Isosceles Trapezoids is that the base angles are equivalent. Therefore, if angle S measures 112°, angle U must also measure 112°.
The shadow's length measures 96.6. To find the distance, you can use a right-angle triangle method if you know the angle of elevation. Here, (a) is the adjacent side, (b) is the hypotenuse, and (c) is the opposite side. We know that the adjacent side (a) equals 40, while the opposite side (b) is unknown. The tangent of the angle θ is given by opposite/adjacent; thus, tan 67° = opposite/40. Therefore, the opposite side equals tan 67° multiplied by 40, leading to an adjacent length of 96.6.
When regrouping, you're essentially simplifying the problem into smaller parts. For instance, you would calculate 60 + 40=? and then solve 4 + 3=? The final answer would be 107.
The response is:
Therefore, option 1 is correct.
Hence, the final option is accurate.
Step-by-step breakdown:
Two functions are presented
. The domain represents the x values possible
. The range represents the y values achievable
. Thus, x can take any real number in functions f(x) and g(x)
. So, option 1 is correct.
For the range aspect
, f(x) can encompass any real number 
. However, for g(x), the range can only include positive numbers
. Consequently, the last option is accurate, while all other options are incorrect.
