Which of the following statements are always true?


A trapezoid is a rhombus.

A trapezoid is a parallelogram.

A trapezoid is a quadrilateral.

A trapezoid is a rectangle.

Answers

Answer 1

Answer:

„A trapezoid is a quadrilateral.” ⇒ true

Step-by-step explanation:

This is a trapezoid. It is a quadrilateral with one pair of parallel sides while other sides are non-parallel. Here, the opposite angles are alternate, that is, they have together 180°.

Isosceles trapezoid

An isosceles trapezoid is a trapezoid with congruent base angles and congruent non-parallel sides. Here, the base angles are the same.

The line segment joining the midpoints of the parallel sides is perpendicular to the bases and the diagonals are the same in length.

Right-angled trapezoid

Trapezoid with two right angles and necongruent non-paralell sides.

Good luck:)

Which Of The Following Statements Are Always True?A Trapezoid Is A Rhombus.A Trapezoid Is A Parallelogram.A
Which Of The Following Statements Are Always True?A Trapezoid Is A Rhombus.A Trapezoid Is A Parallelogram.A

Related Questions

does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?​

Answers

Step-by-step explanation:

The solution and answer are well written in the Pic above.

Given equation of the Circle is ,

[tex]\sf\implies x^2 + y^2 = 25 [/tex]

And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,

[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]

Here we can say that ,

• Radius = 5 units

• Centre = (0,0)

Finding distance between the two points :-

[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]

Here we can see that the distance of point from centre is less than the radius.

Hence the point lies within the circle .

Can someone help me with this math homework please!

Answers

Step-by-step explanation:

these are almost the simplest possible problems to get you a little bit familiar with the use of this line of thinking and to use these methods.

come on ! are you really not understanding this ?

I think you are not trying to learn and get better, you try to get others doing your work for you.

these problems are so simple that stating them here costs you more time than just solving them.

remember fractions ?

remember the problems to find the smallest common denominator for a list of fractions ?

the first question is exactly that.

what is the smallest common denominator of 3/4, 1/3 and 1/2 ?

because that is the number you need to multiply both sides to eliminate all fractions.

so, what is the smallest number that can be split by 4, 3 and 2 ?

is it 2 ? no, 4 and 3 can't do that.

is it 3 ? no, 2 and 4 can't do that.

...

is it 6 ? no, 4 can't do that.

...

is it 8 ? no, 3 can't do that.

...

is it 12 ? yeah ! all 3 can do that.

here a little tip : you start by multiplying all involved numbers, and then work your way back by eliminating some factors shared by some of the numbers.

here it would be

2×3×4 = 24

but 12 is sufficient, because 2 and 4 share another common factor of 2. so, we can divide 24 by 2 and get 12.

"isolate the variable" means having it only on one side of the equation.

so, what do you think ?

subtracting any constants does not change anything for "j".

from all the offered options only the subtraction of 1.1j eliminates j from one side.

the runners save.

you only need to translate the words into the corresponding mathematical symbols.

runner 1 has $112 already saved.

that is our starting value for this runner.

so, 112 + ...

received a $45 gift card. so, $45 are added.

so, 112 + 45 + ...

saves $25 each month (m). so, whatever the number of m is, there will be $25×m added to the account.

so, 112 + 45 + 25m

we know already, it is the second option.

but for training purposes let's look at runner 2 too :

he starts with $50 already saved.

so, 50 + ...

saves $60 each month (m). same principle as above.

so, 50 + 60m

if we want to know, when (after how many months) both runners will have the same amount of money, we simply need to say both equations are equal and solve for m.

-3x + 1 + 10x = x + 4

how do we solve this ?

by bringing all x to one side and contract them into one expression. and try to bring all constants to the other side and contact them too. and then do the reverse operation of the x expression (like a division for a multiplication).

1 + 7x = x + 4

1 + 6x = 4

6x = 3

x = 3/6 = 1/2

hurray, it is the first option !

Can you please help me with this?/

Answers

Answer:

1.3 meters

Step-by-step explanation:

The question is: What is the position of Michael's hands relative to the surface of the water?

It seems like it is asking for the amount of space between Michael's hands, and the surface of the water.

His hands are 1.8 meters below his feet, and his feet are 0.5 meters above the water.

To solve: subtract

1.8-0.5

1.3

I hope this helps!

Find the scale factor for the given two similar rectangles.

A. 1/3
B. 1/4
C. 1/5
D. 1/6

HELPPPPP!!!!!!!!!!!!

Answers

Answer: A) 1/3

Explanation: ok the left triangle is 9 and 27 and the right triangle is 3 and 9

The way you find this is saying what can you multiple the smaller numbers to get the big numbers, so 9 x 3 = 27 and 3 x 3 = 9 which is the bigger triangles area. The easiest way to do this in the future is take the biggest numbers and divide them by the denominated in your answer choices because if you took 27 and 9 / 3 you would get the numbers on the right side triangle. Good luck in the future :)

Question 2 (5 points) ✓ Saved
Determine the value of x.
3
6
3V3
3V2

Answers

Answer:

x = 6 units

Step-by-step explanation:

For θ = 30°, Perpendicular is 3. Hypotenuse is x.

We can use trigonometry to find x.

[tex]\sin(30)=\dfrac{P}{H}[/tex]

[tex]\sin(30)=\dfrac{3}{x}\\\\x=\dfrac{3}{\sin(30)}\\\\x=6[/tex]

So, the value of x is equal to 6 units.

Which function is represented by the graph?
5
4
3
2
Of(x) = -x - 3] + 4
f(x) = -x + 3 + 4
f(x) = -x + 4 + 3
f(x) = -x + 4 + 3
-5 A-3 -2 -1 2 3 4 5
2+
-3
45

Answers

Step-by-step explanation:

The correct answer is f(x)=3^(x+3)

3/8 + 1/8 - 1/3 + 1/4 =

Answers

Answer:

0.41666666, to round up, the answer is 0.42

Step-by-step explanation:

[tex] \frac{3}{8} + \frac{1}{8} - \frac{1}{3} + \frac{1}{4} = \frac{4}{8} - \frac{1}{3} = \frac{4}{24} + \frac{1}{4} = \frac{10}{24} = \frac{5}{12} [/tex]

Replace ∗ with a monomial so that the trinomial may be represented by a square of a binomial: b2 + 20b +*

Answers

Given:

The expression is:

[tex]b^2+20b[/tex]

To find:

The a monomial so that the trinomial may be represented by a square of a binomial.

Solution:

If an expression is [tex]x^2+bx[/tex], then be need to add square of half of coefficient of x, i.e., [tex]\left(\dfrac{b}{2}\right)^2[/tex] in the given expression to make in perfect square.

We have,

[tex]b^2+20b[/tex]

Here, coefficient of b is 20,so wee need to add square of half of coefficient of b, i.e., [tex]\left(\dfrac{20}{2}\right)^2[/tex].

[tex]\left(\dfrac{20}{2}\right)^2=10^2[/tex]

[tex]\left(\dfrac{20}{2}\right)^2=100[/tex]

Therefore, we need to add 100 to make [tex]b^2+20b[/tex] a perfect square binomial.

Can someone help with this problem

Answers

which one.

................................

Step-by-step explanation:

................

Answer:

x = 15

Step-by-step explanation:

If A parallel to B then ∠ 2 and ∠ 4 are same- side interior angles and sum to 180° , then

2x + 10 + 4x + 80 = 180 , that is

6x + 90 = 180 ( subtract 90 from both sides )

6x = 90 ( divide both sides by 6 )

x = 15

which inequality represents all values of x for which the quotient below is defined? √15(x-1) ÷ √2^2

Answers

Answer:

Option D: x ≥ 1.

Step-by-step explanation:

Here we have the quotient:

[tex]\frac{\sqrt{15*(x - 1)} }{\sqrt{2*x^2} }[/tex]

Here we have two restrictions for the domain.

first, the denominator can never be zero, so x must be different than zero.

Second, the arguments of the square roots can not be negative.

The one in the denominator is always positive because we have the square of x.

So let's look at the values of x, such that:

15*(x - 1) ≥ 0

(x - 1) ≥ 0

x ≥  1

Note that when x ≥ 1, we are also removing the problem in the denominator, then we can conclude that the fraction is defined when:

x ≥ 1.

The correct option is D

An item was marked down 64% from its original price,x . The amount discounted was $30. Which equation can be used to find the original price

Answers

Answer:

OP = discount amount × 100 / discount %

Step-by-step explanation:

if I understand this correctly, the actual sale price was 36% (100-64) of the originally marked price.

original price (OP) = 100%

64% of OP = 30

1% of OP = 30/64

OP (100%) = 100 × 30/64

this could be simplified to 100 × 15/32, but this hinders is finding the global formula :

OP = discount amount × 100 / discount %

Fred, a skycap at the airport, is paid
$5.15 per hour. During an 8-hour
shift, he earned $195.00 in tips. What
were his estimated total earnings for
a 40-hour week?

Answers

Answer:

401 a week

Step-by-step explanation: Fred earns $5.15 dollars plus a tip of $195  if he works for 40 hours the equation would be x=ab+c  X is the week, A is the money per hour, B is the amount of hours and C is the tip   X= 5.15(40)+195       5.15 times 40 is 206 then 206+195 is 401 which is your answer

Solve for X. Thank you

Answers

Answer:

x = 4

Step-by-step explanation:

The segment inside the triangle is an angle bisector and divides the opposite side into segments that are proportional to the other two sides , that is

[tex]\frac{15}{20}[/tex] = [tex]\frac{x+2}{14-(x+2)}[/tex]

[tex]\frac{3}{4}[/tex] = [tex]\frac{x+2}{14-x-2}[/tex] = [tex]\frac{x+2}{12-x}[/tex] ( cross- multiply )

4(x + 2) = 3(12 - x) ← distribute parenthesis on both sides )

4x + 8 = 36 - 3x ( add 3x to both sides )

7x + 8 = 36 ( subtract 8 from both sides )

7x = 28 ( divide both sides by 7 )

x = 4

Find the slope between the points (-1,11) and (-6,-7)

Answers

Answer:

m=18/3

Step-by-step explanation:

m=-7-11/-6-(-1)

What is the domain of f(x)=(1/4)^

Answers

c ans

...................

If a = ba and b = 2a, what is the value of a + b?​

Answers

a = ba

1 = b

Since b = 1,

b = 2a

1 = 2a

a = 0.5

Therefore,

a + b = 0.5 + 1

a + b = 1.5

work out the area of the triangle 35.7m 17m 28.9m 13.6m

Answers

Answer:

N/A

Step-by-step explanation:

the question is not in depth could you add a photo

The perimeter of a rectangular swimming pool is 56 meters. The width is 4 meters less than the length. What is the width of the swimming pool? 4 meters 4 meters 8 meters 8 meters 12 meters 12 meters 24 meters

Answers

Answer:

Length = 16 meters

Width = 12 meters

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Let

length = x

Width = (x - 4) meters

Perimeter of the rectangular pool = 56 meters

Perimeter of a rectangle = 2(length + width)

56 = 2{x + (x - 4)}

56 = 2(x + x - 4)

56 = 2(2x - 4)

56 = 4x - 8

56 + 8 = 4x

64 = 4x

x = 64/4

x = 16

length = x = 16 meters

Width = (x - 4) meters

= 16 - 4

= 12 meters

please I need answer right now pleasssseee

Find the lowest common multiple of
A. 12,18,36
B. 9,27,18

please plz plz​

Answers

Answer:

1.)36

2.)54

Step-by-step explanation:

sana po makatulong gehehe

4x - 10 + 5x = 71 solve the equation and enter the value of x below ​

Answers

Add ten to both sides
Then combine the like terms
9x=81
X= 9

Answer:

x = 9

Step-by-step explanation:

First, combine like terms. Like terms are terms with the same variable as well as the same amount of said variables:

4x - 10 + 5x = 71

(4x + 5x) - 10 = 71

9x - 10 = 71

Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Divisions

Additions

Subtractions

~

First, add 10 to both sides of the equation:

9x - 10 (+10) = 71 (+10)

9x = 71 + 10

9x = 81

Next, isolate the variable x by dividing 9 from both sides of the equation:

(9x)/9 = (81)/9

x = 81/9 = 9

x = 9 is your answer.

~

What is the image of (-6, -2) after a dilation by a scale factor of 4 centered at the origin?​

Answers

The image of the point (-6, -2) after dilation by a scale factor of 4 centered at the origin is (-24, -8).

What is a scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object,

We have,

To find the image of the point (-6, -2) after dilation by a scale factor of 4 centered at the origin, we can use the following formula:

(x', y') = (kx, ky)

where (x, y) are the coordinates of the original point, (x', y') are the coordinates of the image after dilation, k is the scale factor, and (0, 0) is the center of dilation.

Substituting the values given in the problem, we get:

(x', y') = (4*(-6), 4*(-2))

Simplifying,

(x', y') = (-24, -8)

Therefore,

The image of the point (-6, -2) after dilation by a scale factor of 4 centered at the origin is (-24, -8).

Learn more about scale factors here:

https://brainly.com/question/20759556

#SPJ2

Dr. Miller decided to conduct an exercise in his class in which two students each flipped a coin and record how many times they received heads or tails. One student had five heads in a row, while the other student's coin toss had no pattern. Dr. Miller explained that, while the five-head pattern is interesting, it is BEST explained by

Answers

Answer: random events

Step-by-step explanation:

Based on the information given in the question, the scenario can be best explained by a random event.

Random event refers to the event that cannot be made exact and one whose outcome can't be predicted. An example is the sum of numbers that are gotten when two rolled dice are rolled.

From the experiment, one student had five heads in a row, while the other student's coin toss had no pattern depicts a random event.

help please!!! :)
2x + 6 = 4x - 2

Answers

Answer:

[tex]2x + 6 = 4x + -2[/tex]

[tex]\Longrightarrow2x+6-6=4x-2-6[/tex]

[tex]\Longrightarrow 2x=4x-8[/tex]

[tex]\Longrightarrow 2x-4x=4x-8-4x[/tex]

[tex]\Longrightarrow -2x=-8[/tex]

[tex]\Longrightarrow \frac{-2x}{-2}=\frac{-8}{-2}[/tex]

[tex]\hookrightarrow \underline{ANSWER: x=4}[/tex]

-------------------------

hope it helps...

have a great day!!

If a class has a total of 3400 points I can earn how many points would I need to get in total to get at least a 90?

Answers

hi wassup yo k bye daddy

Answer:

are you asking how many points are needed to get 90% in

a class that has a total of 3400 points ?

id so that is : 3060

Step-by-step explanation:

state the square root of 53-12root10

Answers

Answer: ~15.05267 (im not sure though i just used a calculator)

In which section of the number line is 32−−√?

Answers

where's the number line?

maybe u can attach it at the comments:)

Answer:

Section B

Step-by-step explanation:

help me with this please​

Answers

the first line is parallel and the second is 3 times

the ratio of boys to girls is 4 :3,if there are 24boys and how many girls will be there?​

Answers

Answer:

There are 18 girls

Step-by-step explanation:

explanation given in the image

❣️◕Jess bregoli◕❣️

#keep learning!!

I NEED HELP SOMEONE HELP ME OUTTT!!

Answers

Its 4/5 bc soh cah toa

b) In a survey of 200 families, 80 were found using 'A brand ton only, 75 were found using 'B' brand tea only and each family is using at least one of the two brands, (1) Draw a Venn diagram to illustrate the above information (i) How many families are using both brande? (111) How many families are using 'A' brand? (iv) How many families are using 'B' brand?​

Answers

Answer:

The answer would be D

Step-by-step explanation:

I did the quiz

Step-by-step explanation:

n(u)=200

no(A)=80

no(B)=75

ii) Using both brand=200-80-75

=45

iii)n(A)=80+45

=125

iv)n(B)=75+45

=120

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