Answer:
Step-by-step explanation:
The interior is a parallelogram when adjacent angles are supplementary. This requires ...
(x -30)° + (x +50)° = 180°
2x + 20 = 180 . . . . . . . . . . . collect terms, divide by °
2x = 160 . . . . . . . . . . . . . . . subtract 20
x = 80 . . . . . . . . . . . . . . . . . divide by 2
Then the angle x+50 is ...
(x +50)° = (80 +50)° = 130°
This is also the measure of the angle marked y.
For the lines to be parallel, x = 80, y = 130°.
No, a function requires an input and output value
Answer:
y > 2x + 1
Step-by-step explanation:
The equation of a straight line is
y = mx + b
Your graph looks like the diagram below.
Calculate the slope of the line:
That eliminates Options B and D.
The y intercept is at y = 1.
That eliminates Option A.
The only inequality that fits is
y > 2x + 1
Consider rectangular box with
- length x units (x≥0);
- width 3 units;
- height (8-x) units (8-x≥0, then x≤8).
The volume of the rectangular box can be calculated as
In your case,
Note that maximal possible value of the height can be 8 units (when x=0 - minimal possible length) and the minimal possible height can be 0 units (when x=8 - maximal possible length).
From the attached graph you can see that the greatest x-intercept is x=8, then the height will be minimal and lenght will be maximal.
Then the volume will be V=0 (minimal).
Answer: correct choices are B (the maximum possible length), C (the minimum possible height)