Which are true regarding the statement "A quadrilateral having exactly one pair of parallel opposite sides is a trapezoid”? Check all that apply. It is a conditional statement that can be written as “If a quadrilateral has exactly one pair of parallel opposite sides, then it is a trapezoid.” The hypothesis is: a quadrilateral having exactly one pair of parallel opposite sides. The hypothesis is: it is a trapezoid. The conclusion is: a quadrilateral having exactly one pair of parallel opposite sides. The conclusion is: it is a trapezoid.

Answers

Answer 1

Answer: A,B,E

Step-by-step explanation:

Answer 2

The statement is "The conclusion is: it is a trapezoid." the correct option is D.

What is a quadrilateral?

Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.

That quadrilateral in which opposite sides are parallel is called a parallelogram.

Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

We are given that;

The statement "A quadrilateral having exactly one pair of parallel opposite sides is a trapezoid”

Now,

The following statements are true regarding the statement "A quadrilateral having exactly one pair of parallel opposite sides is a trapezoid":

It is a conditional statement that can be written as “If a quadrilateral has exactly one pair of parallel opposite sides, then it is a trapezoid.”

The hypothesis is: a quadrilateral having exactly one pair of parallel opposite sides.

The conclusion is: it is a trapezoid.

Therefore, by quadrilaterals the answer will be "The conclusion is: it is a trapezoid."

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Related Questions

Factor 5x 4 - 30x 2 - 135. 5(x2 + 9)(x2 - 3) 5(x - 3)(x + 3)(x2 - 3) 5(x - 3)(x + 3)(x2 + 3)

Answers

Answer:

Step-by-step explanation:

[tex]5x^{4} -30x^{2} -135[/tex]

We need to pull out 5 to make the rest easier to factor.

[tex]5(x^{4} -6x^{2} -27)[/tex]

Now we can factor.

Consider all combinations of how to get 27.

1 x 27

3 x 9

And that's it before you end up just switching the place i.e. 9 x 3 and 27 x 1

This makes it easy to see that 3 and 9 are our best choice because 9 - 3 is 6 which is our middle term in the equation.

So now we have:

[tex]5(x^{2} -9)(x^{2} +3)[/tex]

We can break down [tex]x^{2} -9[/tex] even further because it's a perfect square.

(x - 3)(x + 3)

Our final factor is

5(x - 3)(x + 3)[tex](x^{2} +3)[/tex]

How to do an equation like this step by step? 4.5 (8 - x) + 36 = 100 - 2.5 (3x + 24)

Answers

Answer:

x = -10.6667

Step-by-step explanation:

Solve for x:

4.5 (8 - x) + 36 = 100 - 2.5 (3 x + 24)

4.5 (8 - x) = 36 - 4.5 x:

36 - 4.5 x + 36 = 100 - 2.5 (3 x + 24)

Grouping like terms, -4.5 x + 36 + 36 = (36 + 36) - 4.5 x:

(36 + 36) - 4.5 x = 100 - 2.5 (3 x + 24)

36 + 36 = 72:

72 - 4.5 x = 100 - 2.5 (3 x + 24)

-2.5 (3 x + 24) = -7.5 x - 60:

72 - 4.5 x = -7.5 x - 60 + 100

Grouping like terms, -7.5 x - 60 + 100 = (100 - 60) - 7.5 x:

72 - 4.5 x = (100 - 60) - 7.5 x

100 - 60 = 40:

72 - 4.5 x = 40 - 7.5 x

Add 7.5 x to both sides:

7.5 x - 4.5 x + 72 = (7.5 x - 7.5 x) + 40

7.5 x - 7.5 x = 0:

7.5 x - 4.5 x + 72 = 40

Grouping like terms, 7.5 x - 4.5 x + 72 = (-4.5 x + 7.5 x) + 72:

(-4.5 x + 7.5 x) + 72 = 40

7.5 x - 4.5 x = 3 x:

3 x + 72 = 40

Subtract 72 from both sides:

3 x + (72 - 72) = 40 - 72

72 - 72 = 0:

3 x = 40 - 72

40 - 72 = -32:

3 x = -32

Divide both sides of 3 x = -32 by 3:

(3 x)/3 = (-32)/3

3/3 = 1:

x = (-32)/3

(-32)/3 = -10.6667:

Answer: x = -10.6667

4 1/3 times b = b = 6b + 10.4

Answers

Answer:

The answer is 26b + 45.06667

What is the value of x in the equation 3/2(4x – 1) – 3x = 5/4 – (x + 2)?

Answers

i have attached a file you can see it from there.

What is the product of 45 times 32

Answers

Answer:

Your answer would be 1440

Step-by-step explanation:

Answer:

1440

Step-by-step explanation:

45 times 32 gives you the product of 1440

Which of the following equations are dimensionally consistent?
(a) x=1/2at2,
(b) t=v/x,
(c) t=(2x/a)1/2

Answers

Answer:

A. x = 1/2at²

Step-by-step explanation:

Among the equations, the equation that is dimensionally consistent is x=1/2at² where;

x is the distance in meters (dimension is length (L))

a is the acceleration in m/s² (dimension is L/T²)

t is the time in seconds (s) (dimension of time is T)

Substituting the dimensions into the formula to check if we are going to arrive at the dimension for distance;

1/2at² = 1/2(L/T²)T²

= 1/2× L/T² × T²

= 1/2 × L

Since L which is the resulting dimension is the dimension for distance (x), this means that the equation x = 1/2at² is dimensionally consistent.

What is least to greatest 2/3 0.6 -0.4 -3/5
4/5?

Answers

-3/5, -0.4, 0.6, 2/3, 4/5
-3/5 -0.4 0.6 4/5 2/3

2.
Josh worked 480 hours in 12 weeks. How many hours does he work in one week if he works the
same hours each week.

Answers

He works 40 hours a week.
The answer is 40 if you divide 480 by 12 you’ll get 40

If you are given the measurements If two sides of a triangle, what will be true about the triangle you make?

Answers

Answer:

You can make infinitely many unique triangles.

Step-by-step explanation:

You aren't given the measure of the angle that the two given sides form, therefore, the two given sides could form any angle greater than 0° but less than 180°. In each different "case", the triangle will be different, hence, the answer is You can make infinitely many unique triangles.

Answer:

you can make infinitely many unique trangles

Step-by-step explanation:

trust em i did it and got it right

Help me and show me how to do it

Answers

You just need to memorize the slope equation and plug in the numbers, it’s really easy, hope you have a great day

Is the decimal form of 19/3 a rational number?

Answers

Answer:

yes it is because it can be written in fraction form

Two cyclists begin riding in the same direction at a constant rate, one at 20 km/h, the other at 16 km/h. How long will it take until they are 8 km apart?

Answers

Answer:

fdfbsdfb

Step-by-step explanation:

dfgfdg

Answer: It will take 2 hours

Step-by-step explanation:

True or false 16.-84.-184-284 is an arithmetic sequence?
O True
O False

Answers

Answer:

false

plz tell me if im wrong i hope i helped

10x + 36 = 8x -36
What is x?

Answers

Answer:

x= -36

Step-by-step explanation:

Hope this helps.

Answer:

[tex]x = -36[/tex]

Step-by-step explanation:

Solve for [tex]x[/tex] :

[tex]10x + 36 = 8x - 36[/tex]

-Subtract [tex]8x[/tex] from [tex]10x[/tex] :

[tex]10x - 8x + 36 = 8x - 8x - 36[/tex]

[tex]2x + 36 = -36[/tex]

-Subtract both sides of the equation by [tex]36[/tex] :

[tex]2x + 36 - 36 = -36 -36[/tex]

[tex]2x = -72[/tex]

-Take [tex]2x[/tex] divide it on both sides:

[tex]\frac{2x}{2} = \frac{-72}{2}[/tex]

[tex]x = -36[/tex]

So therefore, the value of [tex]x[/tex] is [tex]-36[/tex].

Which number is not equal to one of the following expressions

Answers

Answer:150,000

Step-by-step explanation:

1500×10=15000

150,000÷100=1500

1500÷10=150

So 150,000 is not an answer in one the expressions

Answer:150,000

Step-by-step explanation:

Ana Maria had $28000 to invest. She divided the money into three different accounts

Answers

Answer:

If the question is how much she would have in each account the value would be that two would have $9,333 and one would have to be $9,334

Step-by-step explanation:

The two pentagons in the sketch below are congruent. Which sequence could transform pentagon GHIJK to pentagon
LMNOP?
-A rotation 90° counterclockwise about the origin followed by a translation 6 units down
-A rotation 90° clockwise about the origin followed by a translation 6 units down
-A rotation 180° clockwise about the origin followed by a translation 6 units down
-A rotation 90° counterclockwise about the origin followed by a translation 6 units up

Answers

Answer:

b

Step-by-step explanation:

its b

Answer:

Its B.

Step-by-step explanation:

Would the answer be 250 ?

Answers

It would be 243 because it saids all-together the number if figurines Mike and Alex. 186+57=243
I would round up to 60 and 190 which is about 250. You could also do 185 and 60 but 190 is easier to count.

Joey earned $10 for every car he washed on Friday. If he earned $190, how many cars did he wash?

Answers

Answer:

19

Step-by-step explanation:

Simplify the expression to a polynomial in standard form:
(x - 2)(x^2 - 2x- 9)

Answers

Answer:

x^3-4x^2-5x+18

Step-by-step explanation:

When you distribute (x-2)  (x^2-2x-9) you get x^3-2x^2-2x^2+4x-9x+18  combine like terms and you get your answer

2 [30- (28-2)] +5
answer with explanation please!

Answers

Answer:

13

Step-by-step explanation:

Simplify the following:

2 (30 - (28 - 2)) + 5

Hint: | Subtract 2 from 28.

| 2 | 8

- | | 2

| 2 | 6:

2 (30 - 26) + 5

Hint: | Subtract 26 from 30.

| 2 | 10

| 3 | 0

- | 2 | 6

| 0 | 4:

2×4 + 5

Hint: | Multiply 2 and 4 together.

2×4 = 8:

8 + 5

Hint: | Evaluate 8 + 5.

8 + 5 = 13:

Answer:  13

well first u will solve the numbers in the brackets;

=2 (30-6)+5

=2 (23)+5

then 2 will be multiplied with 23;

=46+5

=51

the answer is 51.

What is the solution to this equation?
5x - 4 + 3x = 36
O A. x = 5
O B. x= 16
O C. x = 4
O D. x = 20

Answers

To do this problem, first u combine like terms which in this case would be 5x+3x which is 8x and then that leaves 8x-4=36. Next get rid of the 4 by adding it to both sides, you’re left with 8x=40. Then divide both sides by 8, and that cancels the 8 on the left leaving you with x=5 because 40/8=5. So your answer is A.

Incorrect answers will be reported, first correct answer will get brainiest.

Are the compositions of f(x) = 1 and g(x) = 2 commutative? Why or why not?

They are commutative, because f(x) and g(x) are constant functions.
They are commutative, because f(g(x)) and g(f(x) are constant functions.
They are not commutative, because f(x) and g(x) are not equal.
They are not commutative, because flg(x)) and g(f(x) are not equal.

Answers

Answer:

  They are not commutative, because f(g(x)) and g(f(x) are not equal.

Step-by-step explanation:

In order for the composition of the functions to be commutative, we must have ...

  f(g(x)) ≡ g(f(x))

for all values of x.

Here, we have f(g(x)) = 1 and g(f(x)) = 2. f(g(x)) and g(f(x)) are not equal, so the composition of the functions is not commutative.

Answer:

D. edg 2022

Step-by-step explanation:

What is 1.2 equivalent to

Answers

Answer:  6/5

Step-by-step explanation:

the decimal " 1.2 " is equivalent to the fraction " 6/5 "

(3x2 - 5x + 6) + (2x2 + 7x - 9)
Which of the following is equivalent to the expression above?

Answers

Answer:
7+2x

Step by step explanation:

(6-5x + 6 ) + (4+ 7x - 9)

=(12 - 5x ) + (-5 + 7x)

=12 - 5x - 5 +7x

=7- 5x + 7x

= 7 + 2x

Stacy put 2/5 of her monthly earnings into a savings jar. Then she decided to take 1/4 of the money in the jar to put aside for vacation. If Stacey earned $550 this month,how much money did she set aside for vacation? ​

Answers

Answer:

55

Step-by-step explanation:

First you need to know how much is 2/5 of 550 since that is how much she put in the jar. 2/5 * 550 = 220 and then you need to find a 1/4 of that since that is how much she takes from th jar for vecation. 1/4 * 220 = 55 which is the awnser

draw a flat shape that has no straight sides or angles

Answers

Answer:

try drawing a circle or an oval

Step-by-step explanation:

There are no edges or corners to a circle, ovals, or semicircles, making it a spherical form. Shapes may be categorized and sorted using these qualities as well as size.

What is a circle?

A group of points that are all at the same distance from a fixed point is how it is characterized (called the center of a circle).

Ovals, semicircles, circles, and other closed forms all lack straight lines. Having one curved edge and one straight edge, a semicircle is a closed form.

An oval is a circle that has been flattened such that it resembles an egg or an ellipse: a mirror with an oval shape; a face with an oval shape. Ellipsoidal comparison.

By dividing a circle into two equal halves along the diameter line, a semicircle is created. There is just one line of symmetry in the semicircle, and that is the reflection symmetry. A half-disk is another name for the semicircle.

Thus, the flat shape that has no straight will be ovals, semicircles, and circles.

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how do find the domain and range from a graph, and writing it as an inequality ​

Answers

To determine the domain is the same as to determine which numbers appear as the first number (the x-value) in an ordered pair that is part of the graph.
To determine the range is the same as to determine which numbers appear as the second number (the y-value) in an ordered pair that is part of the graph.
Here are some examples:
y

x
2
+
3
graph{y >= x^2+3 [-11.6, 13.72, 0.15, 12.81]}
Although it is not 100% certain from just the graph, this graph does get wider and wider. Every
x
does appear in some ordered pair on the graph. The domain is all real numbers.
The
y
values that appear start at
3
and go up. We get all numbers greater than or equal to
3
. Inequality:
y

3
.
If you've learned interval notation, you write:
[
3
,

)
x
2
+
y
2
9

1
# graph{x^2 + y^2/9 <= 1 [-5.35, 7.14, -3.105, 3.14]}
Domain (x-values) Go from

1
to
1
(inequality:

1

x

1
)(interval:
[

1
,
1
]
)
Range:

3
to
3
(inequal:

3

y

3
(interval:
[

3
,
3
]
)
More challenging:
x
2
+
y
2
<
9
graph{x^2+y^2 < 9 [-5.35, 7.14, -3.105, 3.14]}
The dotted line is not included, so we do not include the points at

3
or at
3
.
Domain:

3
<
x
<
3
(interval
(

3
,
3
)
)
R
a
n

:
-3(

e
r
v
a
l
(-3, 3))
Last one:
x

y
2
<
6
graph{x- y^2 < 6 [-9.87, 30.68, -9.96, 10.32]}
Domain: all real numbers
Range: all real numbers

Find the solution.
1. 20 - (12 - 7) =

Answers

Answer:

the answer is 15

Step-by-step explanation:

Zoo tickets for five people cost a total of $41 which equation can be to to tell me the cost see in dollars of each ticket

Answers

Answer:

41 divided by 5

$41 divided by 5 people is equal to $8.2 per person

Step-by-step explanation:

It’ll cost about $8.20 for each person entering the zoo toy divide 41 by 5 then you’ll get 8.2 and to make it accurate you turn it into $8.20
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