Answer:
1. F
2. T
3. T
4. T
Step-by-step explanation:
Let's break down the definitions.
Quadrilateral - A polygon with 4 sides
Square - A quadrilateral with 4 equal sides and 90 degree angles
Rectangle - A quadrilateral with 4 sides with opposite sides that are congruent and have 90 degree angles
Parallelogram - A quadrilateral with 4 sides with opposite sides that are congruent and do not have 90 degree angles
Rhombus - A quadrilateral with 4 equal sides but does not have 90 degree angles
Now let's look at the questions.
Does every 4 sided figure have equal sides? - No
Is a rectangle with 4 equal sides a square? - Yes
Is every parallelogram with 4 equal sides a parallelogram? - Yes
Is every 4 equal sided figure a figure with opposite sides that are equal? - Yes
When building a Venn Diagram, I always start from the area with the most overlap to the areas of least overlap. Once you have placed the 3 in the middle, you have counted those people, and therefore you must subtract them from the other surveys. Example: since there are 3 people that like all three subjects, now only have 5 students that like just math and English instead of 8.
Therefore:
A) 36 Students were in the survey
*Add all the numbers within the Venn diagram up. Overlapping doesn't matter because no one is double counted.
B) 6 People liked only Math
*Can't touch any other circle but Math
C) 20 Students liked English and math, but not history
*You add 9+5+6, since these bubbles are not overlapping with history.
I Hope this helps and let me know if you have any further questions!
Answer:
0.67
Step-by-step explanation:
2.01 is the total for three oranges.
the math would be 2.01 ÷ 3 = 0.67
to check your answer:
if one orange equals 0.67 and you have three of them
the math would be 3 × 0.67 = 2.01