1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
victus00 [196]
3 years ago
8

Which characteristic guarantees that a parallelogram is a rectangle? All of the sides are congruent. The opposite sides are para

llel. The diagonals are perpendicular bisectors. The diagonals are congruent.
Mathematics
2 answers:
Troyanec [42]3 years ago
5 0

Answer:- The  characteristic guarantees that a parallelogram is a rectangle is "the diagonals are congruent".


Explanation:-

  •   The characteristics of a parallelogram :-
  1. The opposite sides are parallel.
  2. The opposite sides and angles are equal.
  3. The diagonals are perpendicular bisectors.
  •  The characteristics of a rectangle
  1. opposite sides are parallel and equal .
  2. diagonals are congruent.
  3. All the angles are congruent.

Thus the  characteristic guarantees that a parallelogram is a rectangle is "the diagonals are congruent".

Andrei [34K]3 years ago
3 0
Diagonals are congruent.
You might be interested in
Please help me with this question
Montano1993 [528]

9514 1404 393

Answer:

  (√5)/2

Step-by-step explanation:

Of the several ways I can think of to do this, using a graphing calculator is about the easiest. It shows the minimum to be ...

  f(1) = √1.25 = (√5)/2

__

Using the distance formula, you have ...

  f(x) = √((x -(-2))² +((x² +2)-5/2)²)

  f(x) = √(x² +4x +4 +x⁴ -x² +1/4) = √(x⁴ +4x +17/4)

The minimum is found where the derivative is zero.

  f'(x) = (2x³ +2)/√(x⁴ +4x +17/4) = 0

  x³ = -1 . . . . . f'(x) is zero when the numerator is zero

  x = -1 . . . . . cube root

Then the minimum value of f(x) is ...

  f(-1) = √(x⁴ +4x +17/4) = √((-1)⁴ +4(-1) +17/4) = √(1 -4 +17/4) = √(5/4)

  f(-1) = (√5)/2 . . . . minimum value of f(x)

__

The graph shows f²(x) in red and its minimum of 1.25 = 5/4. The curve (x, x²+2) and the point (-2, 5/2) are also shown, for reference. (The slope of the curve at x=-1 is -2, and the normal to the curve at that point has slope 1/2. The normal goes through the point (-2, 5/2), consistent with f(x) being a minimum at x=-1.)

5 0
3 years ago
#4 I need help on. Thanks! (?)
Ksju [112]

To find the area you just find the area of each triangle.

To do this use the formula b×h×.5=A


6×4×.5=A

A=12

Now you just multiply 12 by 4. The reason you multiply by 4 is because you have 4 triangles that make up the rhombus. The area of the rhombus is 48cm²


8 0
4 years ago
Read 2 more answers
Please help answer these questions
vfiekz [6]

<u>Step</u><u> </u><u>1</u>

given

<u>Step</u><u> </u><u>2</u>

\angle HKM \cong \angle OKM, \angle HMK \cong \angle OMK

<u>Step</u><u> </u><u>3</u>

\overline{KM} \cong \overline{KM}

Reason: Reflexive property

<u>Step</u><u> </u><u>4</u>

ASA

8 0
2 years ago
You must ship 40 packages weighing 3 1/4 pounds each . What is the total weight of the packages in pounds
frozen [14]

Answer:

130

Step-by-step explanation:

Times 40 & 3 to get 120.

Then as 1 is equal to 1/4 and 4 is equal to 4/4 which is a whole.

As 4 = 4/4 or 1 whole.

Count by 4 with your fingers until you get 40. Which is ten.

Then add 120+10 which equals to our answer that is 130.

8 0
4 years ago
What number is equal to 4^3
eimsori [14]
1.) 4^3= 64

2.) a^2 + b^2=c^2
5^2 + 12^2 = c^2
25 + 144 = c^2
169= c^2
c =  \sqrt{169}  = 13
3.) a^2 + b^2 = c^2
24^2 + b^2 = 26^2
576 + b^2 = 676
b^2 = 100
b =  \sqrt{100}  = 10

4 0
3 years ago
Read 2 more answers
Other questions:
  • Use the grouping method to factor x3 + x2 + 2x + 2.
    5·2 answers
  • Which equation shows how to find the product of 100,000 and 1,000,000 using scientific notation?
    7·2 answers
  • Evaluate the expression 4-2x2+3
    8·1 answer
  • you are stacking boxes that have 250 boxes to load, at the end of the shift you have 17 complete loads of boxes and 141 boxes as
    12·1 answer
  • What is 5 1/4- 13/9?
    11·1 answer
  • PLEASE HELP I NEED ANSWER FAST
    10·2 answers
  • 1. What is 5/9 written as a decimal?
    12·1 answer
  • X/10=7 what does x equal?
    9·2 answers
  • What are the 2 steps to solve this equation, 2x + 4 = 10.
    7·1 answer
  • Simplify the following.<br> - (3z)2
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!