Square GHIJ shares a common center with regular hexagon ABCDEF on a coordinate plane. AB is parallel to GH. If the combined figu
re rotates clockwise about its center, at which angle of rotation will the image coincide with the preimage? A. 60 degrees B. 180 degrees C. 90 drerees D. 240 degrees
2 answers:
Answer: B. 180°.
Step-by-step explanation: In the attached figure, GHIJ is a square and ABCDEF is a regular hexagon having common centre O.
A square is symmetric at a rotational angle of 90° and a regular hexagon is symmetric at a rotational angle of 60°.
So, to bring the image of the square and the hexagon back to the previous position, we need to find the LCM of both the angles.
LCM(60°,90°)=180°.
So, the correct option is B. 180°.
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Using <u>linear function concepts</u>, it is found that the correct option is:
The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.
A linear function is modeled by:
In which:
- m is the slope, which represents by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
In this problem:
- The explanatory variable fat is the input.
- The response variable calories is the output.
The equation is:
- The slope is of 1.42, which means that the amount of calories increases by 1.42 when the amount of fat increases by 1 gram.
- The y-intercept is of 121, which means that if there are 0 grams of fat, there will be 121 calories.
Thus, the correct option is:
The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.
A similar problem is given at brainly.com/question/16302622