True or false1. All parallelograms are squares.
2. All squares are parallelograms.
3. All trapezoids are scalene.
4. All squares are rhombuses.
5. All rhombuses are squares.
6. All rectangles are squares.
7. All squares are rectangles.

Answers

Answer 1
Answer: The question is asking to state if those statements are true or false. First we have to mention some definitions: Parallelogram is a 4-sided flat shape with straight sides where opposite sides are parallel. And Parallelograms are: Square, rectangle and Rhombus. All Squares are Rectangles and all Rectangles are not Squares. Answers are: 1. All parallelograms are squares ( FALSE ) 2. All squares are parallelograms ( TRUE ) 3. All trapeziods are scalane ( FALSE ). 4. All squares are rhombuses ( TRUE ). 5. All rhombuses are squares ( FALSE ) 6. All rectangles are squares ( FALSE ). 7. All squares are rectangles ( TRUE ).
Answer 2
Answer:

Final answer:

The truthfulness of these "geometric" statements varies; while all squares are parallelograms, rectangles, and rhombuses, the opposite is not true for all these shapes. The other statements are also false, as trapezoids don't need to be scalene and not all rectangles are squares.

Explanation:

The answers to these questions are dependent on the definitions of geometric shapes. Let's look at these one by one:

  1. False. While all squares are parallelograms, not all parallelograms are squares. A square is a specific type of parallelogram where all sides are equal and all angles are 90 degrees.
  2. True. All squares are parallelograms. This is because a square meets the definition of a parallelogram: it has two pairs of parallel sides.
  3. False. A trapezoid only has one pair of parallel sides, and the other pair is not, so it doesn't necessarily have to be scalene (having sides of unequal length).
  4. True. All squares are rhombuses. A square meets the definition of a rhombus as it is a parallelogram with all sides of equal length.
  5. False. While all squares are rhombuses, not all rhombuses are squares. A rhombus only requires all sides to be the same length; it does not require all angles to be 90 degrees, as is the case with a square.
  6. False. While all squares are rectangles, not all rectangles are squares. A rectangle is a parallelogram with all angles equal to 90 degrees. However, a square is a specific type of rectangle where all sides are also equal.
  7. True. All squares are rectangles. This is because a square meets the definition of a rectangle: it is a parallelogram with four right angles.

Learn more about Geometric Shapes here:

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What is one of the solutions to the following system of equations?y^2+x^2=53
y-x=5
a)(-10,-5)
b)(-7,-2)
c)(7,2)
d)(5,10)

Answers

y^2+x^2=53 \ny-x=5 \n \n\hbox{solve the 1st equation for y:} \ny-x=5 \ny=5+x \n \n\hbox{substitute 5+x for y in the 1st equation:} \n(5+x)^2+x^2=53 \n25+10x+x^2+x^2=53 \n2x^2+10x+25-53=0 \n2x^2+10x-28=0 \n2x^2+14x-4x-28=0 \n2x(x+7)-4(x+7)=0 \n(2x-4)(x+7)=0 \n2x-4=0 \ \lor \ x+7=0 \n2x=4 \ \lor \ x=-7 \nx=2 \ \lor \ x=-7 \n \ny=5+x \ny=5+2 \ \lor \ y=5-7 \ny=7 \ \lor \ y=-2 \n \n(x,y)=(2,7) \ or \ (x,y)=(-7,-2)

The answer is B.

Solve for x
Ax + B = C

Answers

Answer:

(C - B)/A = x

Step-by-step explanation:

Ax + B = C

      -B    -B

Ax = C - B

Divide both sides by A

x = (C - B)/A

(C - B)/A = x

Which expression represents the completely factored form of 2x3 + x2 - 8x - 4?a (x2 - 4)(2x + 1)
6 (x - 2)2(2x - 1)
0 (x - 2)(x + 2)(2x - 1)
d (x-2)(x + 2)(2x + 1)

Answers

The answer is the letter D

Answer:

D

Step-by-step explanation:

D is also equivalent

The United States Capitol Rotunda is a circular room located in the Capitol Building in Washington, D.C. The radius of the room is 48 feet. What is its circumference? Use 3.14 for LaTeX: \piπ.

Answers

Answer:

  • 301.44 feet

Step-by-step explanation:

Formula for circumference:

  • C = 2πr

The radius given:

  • r = 48 feet

The circumference is:

  • C = 2*3.14*48 = 301.44 feet

Answer:

dude you rock

Step-by-step explanation:

the minute hand of a clock is 6 inches long and moves from 3 o'clock to 5 o'clock. how far does the tip of the minute hand move? express your answer round to two decimal places

Answers

from\ 3\ o'clock\ to\ 5\ o'clock\ is\ 2\ hours\n\n12\ hours\ \ \ \rightarrow\ \ \ 360^0\n2\ hours\ \ \ \ \rightarrow\ \ \ \ \alpha \n\n \alpha = (2\cdot360^0)/(12) =60^0\n\nx= (60^0)/(360^0) \cdot 2 \pi\cdot 6\ [in]= (1)/(6) \cdot12 \pi \ [in]=2 \pi \ [in]\approx2\cdot3.14\ [in]=6.28\ [in]

How old would someone be if they were born on the 30th october 1992 ????

Answers

today is March, 19th 2016
so from 1992 have been: 2016 - 1992 = 24 years
but the date is from October 30th, so we are not at 24 years just yet, we are at 23 years and the months and days since last 30th October, that is:
November + December + January + February = 4 months
and some days more, 19 days because today is 19th, so the total is:
23 years, 4 months, 19 days

simple its 2016 and they are born on 1992 so 2016-1992 = 24. but there birthday is in October so they will be 23