A quadrilateral has no pairs of parallel sides. What two shapes could it be? (Not trapezoid/trapezium,concave quadrilateral convex quadrilateral,kite,rhombus)
Answers
Answer:
- concave quadrilateral
- kite
Step-by-step explanation:
The attached figure shows several kinds of quadrilaterals. The sum of angles of a quadrilateral is 360°. A pair of sides will be parallel if the sum of consecutive angles between them is 180°.
Choices
Trapezium/Trapezoid
By definition, a trapezium/trapezoid has exactly one pair of parallel sides.
Concave quadrilateral
This is a quadrilateral with a reflex angle (one that measures more than 180°). Such an angle demands that no consecutive pair of internal angles have a total of 180°. Hence no two sides can be parallel.
Convex quadrilateral
If a simple quadrilateral is not concave, it is convex. Since the sum of angles is 360°, there exists the possibility for at least one adjacent pair of angles to total 180°. That would make at least one pair of sides be parallel.
In the attached figure, all of the quadrilaterals shown, except the "dart" at upper left, are convex quadrilaterals. Most of them, except the "kite" at lower left, have at least one pair of parallel sides.
There is no assurance that a convex quadrilateral will have no parallel sides.
Kite
A kite has two pairs of congruent adjacent sides. It cannot have any parallel sides.
Rhombus
A rhombus has all four sides of equal length. It is a parallelogram with two pairs of parallel sides.
No Parallel Sides
The two figures on the list that have no pairs of parallel sides are ...
- concave quadrilateral
- kite
These are shown in the left column of the attached figure.
Related Questions
How much does 1/2 cup of epsom salts weight?
Mrs.Jacobsen purchased a 5-pound package of ground beef for $12.40. She decided to use 8 ounces each day for dinner recipes. What was the cost of ground beef per meal?
What is the square root of 141?
The figure below shows two pair of congruent triangles. ΔRBO ≅ ________. ΔPAT ΔATP ΔPTA ΔAPT
d, e, i, u, Us d
Ly
Find the distance between the points (1, 2) and -3, 4).
Answers
Answer:
2√5
Step-by-step explanation:
Answers
2as = v^2 - u^2
a = (v^2 - u^2) / 2s
Answers
Answer:
one point 4 inchs
Step-by-step explanation: yessuh
Answer:
one and six hundred four thousandths
Answers
factor out x
x(a + b) = 21
x = 21/(a+b)
on factorising x, we get
x( a+b) =21
x = 21/a+b
Answers
The question is about Evaluating Functions and to calculate f(4) for each function, we substitute 4 into the function and simplify. The values of f(4) for the given functions are: a) 16, b) 12, c) 5.6569, d) 0, e) 8, f) 44y.
Evaluating functions involves determining the output (or value) of a mathematical function for a given input (or argument). It's done by substituting the input value into the function's equation and solving for the result. In the context of functions like f(x), you replace 'x' with the specific value you want to assess. This process helps analyze how a function behaves, finding its y-value or dependent variable. Evaluating functions is crucial in various fields, such as mathematics, science, and engineering, to understand relationships and make predictions based on input-output mappings.
To calculate f(4) for each function, we substitute 4 into the function and simplify. Let's calculate:
a) f(x) = x2
Substitute 4 into the function:
f(4) = 42 = 16
b) f(x) = √144
Substitute 4 into the function:
f(4) = √144 = 12
c) f(x) = √32
Substitute 4 into the function:
f(4) = √32 ≈ 5.6569
d) f(x) = 3x - 12
Substitute 4 into the function:
f(4) = 3(4) - 12 = 0
e) f(x) = (x - 2)^3
Substitute 4 into the function:
f(4) = (4 - 2)^3 = 8
f) f(x) = 4xy + 7xy
Substitute 4 into the function:
f(4) = 4(4)y + 7(4)y = 16y + 28y = 44y
Learn more about Evaluating Functions here:
#SPJ2
3x2 - 2
x + 4
Answers
The value of the 1st and 2nd expressions are 10 and 6 respectively.
What is an algebraic expression?
A mathematical expression made up of integer constants, variables, and algebraic operations is known as an algebraic expression.
How to solve this problem?
We have to find the values of the given expressions 3x² - 2 and x + 4 at x = 2.
Put x = 2 in 3x² - 2 and x + 4 to get the desired results.
Now, 3x² - 2 = 3(2)² - 2 =3(4) - 2 = 12 - 2 = 10
and x + 4 = 2 + 4 = 6
Therefore, the value of the 1st and 2nd expressions are 10 and 6 respectively.
Learn more about algebraic expressions here -
#SPJ2
3*2-2<2+4
6-2<2+4
4<2+4
4>x+4