Question 1:
To start off this question, we can tell that this is a square because it has 4 right angles and 4 congruent sides.
A square has four parallel sides and 4 congruent sides, so a square is a rhombus and parallelogram.
A square has 4 right angles, so it's also a rectangle.
A square has 4 sides, so it's also a quadrilateral.
The first choice is your answer.
Question 2:
Not all quadrilaterals are rectangles, so A is incorrect.
Not all quadrilaterals are squares, so B is incorrect.
All rectangles are types of quadrilaterals, so C is correct.
Not all quadrilaterals are parallelograms, so D is incorrect.
Thus, C is your answer.
Question 3:
The first choice will not work because a rhombus will satisfy those conditions, and a rhombus is not always a square.
The second choice will work because only a square will satisfy that condition because only squares have 4 congruent sides along with equal diagonals.
Thus, the second choice is your answer.
Have an awesome day! :)
Answer:
20
Step-by-step explanation:
n(A) only =15-4=11
n(B) only=9-4=5
n(A n B)=4
n(A U B)=11+5+4=20
Answer:
x = 12
Step-by-step explanation:
<u>To find "x"</u>, we need to <u>isolate it</u>. This means move "x" to the left side, and everything else to the right side.
When moving a number, do its <u>reverse operation</u> to the entire equation.
x + 9 = 2x - 3
x - 2x + 9 = 2x - 2x - 3 Subtract 2x from both sides
-x + 9 = -3
-x + 9 - 9 = -3 - 9 Subtract 9 from both sides
-x = -12
-x/-1 = -12/-1 Divide both sides by -1 to get rid of the negatives
x = 12 Final answer
Check your answer. Split the equation for the left and right sides. Substitute "x" for the answer "12".
LS: (left side)
x + 9
= 12 + 9 Add
= 21
RS: (right side)
2x - 3
= 2(12) - 3 Multiply before subtracting
= 24 - 3 Subtract
= 21
Both sides equal to 21 when "x" is 12.
LS = RS left side equals right side
Therefore the answer is correct.
Answer:
Step-by-step explanation:
The pattern is easy to see.
