What are the characteristics of trapezoid ?

Answers

Answer 1

Answer:

"A trapezoid is a quadrilateral with two parallel sides and, usually, two nonparallel sides."

Step-by-step explanation:

"A trapezoid is a quadrilateral with two parallel sides and, usually, two nonparallel sides. A quadrilateral is a geometric shape that has four sides. Some specialized types of trapezoid are the parallelogram and the isosceles trapezoid.

The two parallel sides of a trapezoid are its bases while the legs are the nonparallel sides. Geometric analysis of a trapezoid includes calculating the height, median and area. The height of a trapezoid is a line segment that runs perpendicular to the bases. The median, or mid-segment, is a line that is parallel to the bases and connects the midpoints of each leg. The area is calculated with a formula using the lengths of each base and the height.

A parallelogram is usually defined as a trapezoid, although it has two pairs of parallel sides instead of just one. An isosceles trapezoid has congruent base angles and equal leg lengths."

Answer 2

A trapezoid is a four-sided polygon with one pair of parallel sides. Its key characteristics include parallel sides, supplementary adjacent angles, and specific area calculation. The median connects the midpoints of the legs, with a length that averages the bases.

A trapezoid is a four-sided polygon, also known as a quadrilateral, with one pair of opposite sides parallel. These parallel sides are known as the bases of the trapezoid, while the other two sides are called the legs.

Key Characteristics:

Parallel Sides: The most defining feature of a trapezoid is that it has exactly one pair of parallel sides.Angle Properties: The angles adjacent to each leg are supplementary, meaning they add up to 180 degrees.Area Calculation: The area of a trapezoid can be calculated using the formula A = 1/2 × (Base1 + Base2) × Height, where Base1 and Base2 are the lengths of the parallel sides, and Height is the perpendicular distance between them.Median: The median (or midsegment) of a trapezoid is a line segment that connects the midpoints of the legs, and its length is the average of the lengths of the bases.

These characteristics are essential for identifying and working with trapezoids, especially in various mathematical problems and geometric constructions.


Related Questions

Solve for x: |x + 2| + 16 = 14

Answers

Step-by-step explanation: What we want to do is to get x on one side. First, we subtract 16 on both sides, leaving us with:

[tex]|x+2| + 16-16 = 14-16[/tex]

Then, we subtract two on both sides, giving us:

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

That leaves us with:

[tex]|x| = -4[/tex]

HOWEVER

Since those lines mean that x MUST be positive, that means that x has no value, and this has no solutions.

Which of the following points lies on the circle whose center is at the origin and whose radius is 10

Answers

Answer:

Step-by-step explanation:

No given points, but you can figure it out from the equation of the circle:

Centered at the origin means that a = b = 0 in

(x-a)^2+(y-b)^2=radius^2

leaving the following:

x^2+y^2=10^2

or x^2+y^2=100

then, from the given points, plug in the coordinates and check to see if it satisfies the equation.

For example, we already know that (10,0) will be on the circle, since it is centered at the origin with radius 10. We can check by plugging into the equation: (10)^2+0^2=100

100=100, so the point lies on the circle.

Side note:

To find which points are within the circle, the equation x^2+y^2<10^2 would have to be satisfied. In this case, (9,0) is one of infinitely many points which satisfies this equation, and therefore is inside the circle.

Answer:

(6,-8)

Step-by-step explanation:

D O,K = (0, 2) → (0, 6) The scale factor is _____.

0

1/3

3
please help soon!!!

Answers

Answer: the answer will be 3

Step-by-step explanation:

The scale factor is 3 because the point (0, 2) becomes (0, 6) option third is correct.

What is a scale factor?

The ratio among comparable dimensions of an object and a model with that object is known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.

We have:

D O,K = (0, 2) → (0, 6)

The point (0, 2) becomes (0, 6)

The scale factor = 6/2 = 3

Thus, the scale factor is 3 because the point (0, 2) becomes (0, 6) option third is correct.

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Shelly has a beaker with 5 2/3 fluid ounces of water. She pours out 3 1/3 fluid ounces of water. Which expression can be used to find the number of fluid ounces of water that remain in the beaker?

Answers

Answer:

option A

Expression [tex]5\frac{2}{3} - 3 \frac{1}{3}[/tex] tells the remain in the beaker.

Step-by-step explanation:

Given in the question,

amount of fluid present in the beaker = 5 2/3 ounce

amount of fluid Shelly took from the beaker = 3 1/3 ounce

To find the amount left after Shelly took water from the beaker

[tex]5\frac{2}{3} - 3 \frac{1}{3}[/tex]

= 7/3 amount left

Answer:

The correct answer option is A. [tex]5 \frac{2}{3}[/tex] - [tex]3\frac{1}{3}[/tex].

Step-by-step explanation:

We are given that Shelly has a beaker with [tex]5 \frac{2}{3}[/tex] fluid ounces of water and she pours out [tex]3\frac{1}{3}[/tex] fluid ounces of water.

We are to determine whether which of the given expressions can be used to find the number of fluid ounces of water that remain in the beaker.

To find the remaining ounces of water, we just need to subtract [tex]3\frac{1}{3}[/tex] from [tex]5 \frac{2}{3}[/tex].

Therefore, the correct answer option is A. [tex]5 \frac{2}{3}[/tex] - [tex]3\frac{1}{3}[/tex].

If x = 14, which equation is true?
A 3(20- x) = 44
B 3(12-x) = 6
c 2(x - 3) = 22
D 2x-3 = 22
please I need help on this​

Answers

Answer:

C

Step-by-step explanation:

Simply plug in x for all the questions to see if the x is the solution

A.) 3(20-14) = 44

3(16)=48

so A is incorrect

B.) 3(12-14) = 6

3(-2) = -6

so B is incorrect

C.) 2(14-3) =22

2(11) =22

C is correct

D.) 2(14)-3=22

28-3 = 25

so D is incorrect

Answer:

the answer would be 2(x - 3) = 22  (C)

Step-by-step explanation:

step 1:

2(x - 3) = 22

step 2: divide both sides by the equation 2

x - 3 = 11

step 3: move constant (3) to the right and change its sign

x = 11 + 3

step 4: add the numbers (11 and 3)

x = 14

Adrian has 5 times as many stickers as Derrick. If Adrian has 325 stickers, how many stickers does Derrick have?

Answers

Answer: 1625

Step-by-step explanation: If Adrian has 5 times as many times is a keyword to know its multiplication. 325x5=1625

Final answer:

Derrick has 65 stickers.

Explanation:

To find out how many stickers Derrick has, we need to divide the number of stickers Adrian has by 5. Since Adrian has 325 stickers, we divide 325 by 5.

325 ÷ 5 = 65.

Therefore, Derrick has 65 stickers.

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What is the 50th term of the arithmetic sequence 32,27,22,17,12

Answers

Answer:

- 213

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a + (n - 1)d

where a is the first term and d the common difference

d = 27 - 32 = - 5 and a = 32, hence

[tex]a_{50}[/tex] = 32 + (49 × - 5) = 32 - 245 = - 213

The 50th term of the arithmetic sequence is -213.and this can be determined by using the [tex]\rm T^{th}[/tex] term of the arithmetic sequence formula.

Given :

Arithmetic sequence  ---  32,27,22,17,12

The difference of the arithmetic operation is given by the formula:

[tex]a_2-a_1 = 27 - 32 = - 5[/tex]

The [tex]\rm T^{th}[/tex] term of the arithmetic sequence is given by the formula:

[tex]\rm T_n = a + (n-1)d[/tex]

where a is the first term, n is the total number of terms, d is the difference, and [tex]\rm T^{th}[/tex] is the term of the arithmetic sequence.

[tex]\rm T_{50} = 32 - (50-1)5[/tex]

[tex]\rm T_{50} = 32 - (49)\times 5[/tex]

[tex]\rm T_{50} = -213[/tex]

The 50th term of the arithmetic sequence is -213.

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The Fitness Gram™ Pacer Test is a multistage aerobic capacity test that progressively gets more difficult as it continues. The 20 meter pacer test will begin in 30 seconds. ... The running speed starts slowly, but gets faster each minute after you hear this signal.

Answers

*ding*ready go 1 *ding* ready go 2

The FitnessGram™ Pacer Test is a multistage aerobic capacity test that progressively gets more difficult as it continues. The 20 meter pacer test will begin in 30 seconds. Line up at the start. The running speed starts slowly, but gets faster each minute after you hear this signal. Ding  A single lap should be completed each time you hear this sound. Ding  Remember to run in a straight line, and run as long as possible. The second time you fail to complete a lap before the sound, your test is over. The test will begin on the word start. On your mark, get ready, ding

what value of m is not a solution for the following inequality 3m ≤ 36​

a.m=4
b.m=9
c.m=12
d.m=15

Answers

Answer:

D. m = 15

Step-by-step explanation:

[tex]3m\leq36\qquad\text{divide both sides by 3}\\\\\dfrac{3m}{3}\leq\dfrac{36}{3}\\\\m\leq12\\\\a.\ m=4\leq12\to\boxed{SOLUTION}\\\\b.\ m=9\leq12\to\boxed{SOLUTION}\\\\c.\ m=12\leq12\to\boxed{SOLUTION}\\\\d.\ m=15>12\to\boxed{NOT\ A\ SOLUTION}[/tex]

Martha has a bidget for groceries etc. She spent 20% of her budget on groceries. If martha spent $42.00 on groceries how much is her budget.

THIS MATH IS CONFUSING ME

Answers

Final answer:

Martha's total budget for groceries is calculated using the proportion of the amount spent, which is $42.00 corresponding to 20% of her budget. By cross-multiplying and dividing, we find that her total budget is $210.00.

Explanation:

To figure out Martha's budget for groceries based on the percentage she spent, we can use proportions. If Martha spent $42.00 on groceries, which represents 20% of her budget, we can set up the proportion as follows:

20% (the percentage spent on groceries) / 100% (the total budget) = $42.00 (amount spent on groceries) / B (total budget)

Now, we solve for B using cross-multiplication:

20% * B = 100% * $42.00

0.20 * B = $42.00

B = $42.00 / 0.20

B = $210.00

Hence, Martha's total budget is $210.00.

Because of the costs involved in maintaining high temperatures and pressure, nuclear_______________is not yet a practical method for generating electrical energy.

Answers

Answer:

fusion

Step-by-step explanation:

Help me answer this question please

Answers

Answer:

i dont know the answer to this one

Step-by-step explanation:

I’m with the other dude i don’t know the answer

help on math homework plz im not good at geomatry​

Answers

C= 2(3.14)r or 3.14D

so, if the diameter (d) is given just multiply it by 3.14. If the radius (r) is given multiply it by 2 then multiply that answer by 3.14 (or just multiply the radius by 6.28)

Pay attention to the units, then find the answer at the bottom.

Simplify 5 + 5 - 2 + 7 - 1 + 2 + 2 + 2 * 3 - 1 * 7 - 2 / 6.

Answers

Answer:

16 2/3

Step-by-step explanation:

5+5-2+7-1+2+2+2*3-1*7-2/6

5+5-2+7-1+2+2+6-7-1/3

17-1/3

16 2/3

Simplify 2×3 to 6.

5+5−2+7−1+2+2+6−1×7−[tex]\frac{2}{6}[/tex]

Change 1 x 7 to 7.

5+5−2+7−1+2+2+6−7−[tex]\frac{2}{6}[/tex]

Then we simplify to get:

17−[tex]\frac{2}{6}[/tex]

And that in decimal form is: 16.6 repeating.

The square pyramid pictured below has a surface area of

Answers

Answer:

Step-by-step explanation:

Triangles

Area of a triangle = 1/2 b * slanted height

b = 6 m

h = 9 m

Area of 1 triangle = 1/2 * 6 * 9

Area of 1 triangle = 27

Area of all 4 triangles = 4*27 = 108 m^2

==================

Base area

The base is a square. All 4 sides are equal.

The formula for a square is s^2

Area = (6 m)^2

Area = 36 m^2

Total area

Total Area = 108 m^2 + 36 m ^2

Total Area = 144 m^2

your answer is 144m2

hope this helps;)

mark brainly

When a line of symmetry divides an image, every point on one side of the line has a corresponding point on the other side.

True or False?

Answers

The answer would be:

True.

When a line of symmetry divides an image, every point on one side of the line has a corresponding point on the other side is true.

To find true/false When a line of symmetry divides an image, every point on one side of the line has a corresponding point on the other side.

What is meant by line of symmetry?

A line of symmetry is a line that cuts a shape exactly in half.

A line of symmetry divides a design so that every point on one side of the line coincides with a point on the other side of it.  There are figures and shapes that can have more than one lines of symmetry. A circle has infinite lines of symmetry. Likewise, a triangle has three lines of symmetry, while rectangle and square have four such lines which divide them into identical parts.

so, a line of symmetry divides an image, every point on one side of the line has a corresponding point on the other side is true.

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Solve g−17≥17. Graph the solution

Answers

Answer:

g≥34

Step-by-step explanation:

Final answer:

To solve the inequality g-17≥17, add 17 to both sides to get g≥34, and graphically represent it with a closed circle at 34 and shade the area to the right.

Explanation:

To solve the inequality g−17≥17, add 17 to both sides of the inequality. This yields g ≥ 34. The graph of this solution will include a number line with a closed circle at 34 and a shaded area to the right of 34, indicating all the values of g that are greater than or equal to 34. When graphically representing inequalities, it is important to use a closed circle to indicate that the number is included in the solution.

Select the correct answer

Answers

Answer:

16

2

Step-by-step explanation:

Given in the question an equation

[tex]\frac{x^2 - 10x + 14}{ x-8}[/tex]

The constant term that the numerator must have = 16

To get this number add 2 in the numerator

after which the equation will become

[tex]\frac{x^2 - 10x + 14+2}{ x-8}[/tex]

[tex]\frac{x^2 - 10x + 16}{ x-8}\\[/tex]

Now by using factorisation of quadratic equation we have

[tex]\frac{(x-8)(x-2)}{x-8}[/tex]

(x-2)

but if we add and subtract 2 in the numerator then

[tex]\frac{x^2 - 10x + 16 -2}{ x-8}[/tex]

[tex]\frac{(x-8)(x-2)-2}{x-8}[/tex]

[tex](x-2)-\frac{2}{x-8}[/tex]

What is the simplified form of the following expression?

^3sqrt(4x/5)

Answers

Answer:

= (∛(100x))/5

Step-by-step explanation:

Given the expression; ∛(4x/5)

To simplify this we need to make denominator a perfect cube.

So multiply and divide 25 inside the cube root, so that the denominator will become a perfect cube of 5.

∛(4x/5) = ∛((4x/5)×(25/25))

            = ∛(100x/125)

            = ∛(100x/5³)

            = (∛100x)/5

Answer:

C)  [tex]\frac{\sqrt[3]{100x} }{5}[/tex]

Step-by-step explanation:

Rolando has $120,000 in a CD at Big Bucks Bank, which just failed. If the FDIC insurance limit per depositor, per bank, is $250,000, how much will Rolando get back?

Answers

Answer:

120,000

Step-by-step explanation:

Rolando would get back 120,000. Because the insurance limit is 250k, Rolando only put in 120k, so he should get everything back.

What is the common difference for the sequence shown below? coordinate plane showing the points 1, 3; 2, 5; and 3, 7

a. −2
b. −one third
c. one third
d. 2

Answers

Answer:

D

Step-by-step explanation:

The common difference of sequence given in coordinate points is the difference in the y-values of the points.

Common Difference (d) = term y-value - previous term y-value

Thus, we can say, d = 5 -3 = 2, or even 7 - 5 = 2.....

Hence d = 2

Correct answer is D

A sub graph is not part of a graph true or false

Answers


True a sub graph is not part of a graph

Answer:

no a sub graph is not part of a graph

**WILL MARK BRAINLIEST AND THANK YOU**

Evaluate

4x^2-12x+5 at x=6

A. 67

B. 77

C. 105

D. 221

Answers

Answer:

Step-by-step explanation:

D) 221

Which is the missing term? (10x - 4x^2)-(7x+ ? ) = 3x-6x^2

Answers

2x^2 because you do (-4x^2)-x=(-6x^2) and solve for x to get 2x^2.

Answer:

The missing term is   -2x²

Step-by-step explanation:

It is given that,

(10x - 4x² ) - (7x + ?) = 3x - 6x²

To find the missing term

Let 'M' be the missing term we can write the above equation,

(10x - 4x² ) - (7x + M) = 3x - 6x²

⇒ 10x - 4x²  - 7x + M = 3x - 6x²

⇒ 10x - 7x - 4x² + M = 3x - 6x²

⇒ 3x - 4x² + M = 3x - 6x²

 M = -6x² + 4x²

 M = -2x²

Which of the following illustrates the truth value of the given conditional statement? If 5 = 3 + 2, then 3 + 2 = 5.

Answers

Answer:

T T → T

Step-by-step explanation:

The following table represents the truth table.

(p)  (q)  (p->q)

T     T       T

T     F       F

F     T       F

F     F       F

Now we have the hypothesis that 5 = 3 + 2.

5 = 3 + 2 is True

Then we have the conclusion that 3 + 2 = 5.

3 + 2 = 5 is True

Therefore, we can conclude that (p->q) is True

This can also be represented as:

T T → T

What 2 numbers multiply to 30 and add to -11

Answers

Answer:

It isnt possible

Step-by-step explanation:

-5 and -6 cause when you multiply them both u get positive 30 and when you add them you get negative 11

A rectangle with sides of lengths 5/6 inch and 1/3 inch area

Answers

Answer:

The area of the rectangle is [tex](5/18)\ in^{2}[/tex]

Step-by-step explanation:

we know that

The area of rectangle is equal to

[tex]A=LW[/tex]

where

L is the length of rectangle

W is the width of rectangle

substitute the values

[tex]A=(5/6)(1/3)=(5/18)\ in^{2}[/tex]

Which probability distribution table corresponds with this frequency distribution table

Answers

Answer:

A.

[tex]\begin{array}{cccccc}x&1&2&3&4&5\\f&0.2&0.3&0.05&0.2&0.25\end{array}[/tex]

Step-by-step explanation:

First find the sum

[tex]\sum f=4+6+1+4+5=20.[/tex]

Now, find the probabilities:

[tex]Pr(x=1)=\dfrac{4}{20}=\dfrac{1}{5}=0.2;[/tex][tex]Pr(x=2)=\dfrac{6}{20}=\dfrac{3}{10}=0.3;[/tex][tex]Pr(x=3)=\dfrac{1}{20}=0.05;[/tex][tex]Pr(x=4)=\dfrac{4}{20}=\dfrac{1}{5}=0.2;[/tex][tex]Pr(x=5)=\dfrac{5}{20}=\dfrac{1}{4}=0.25.[/tex]

Hence, the frequency distribution table is

[tex]\begin{array}{cccccc}x&1&2&3&4&5\\f&0.2&0.3&0.05&0.2&0.25\end{array}[/tex]

Using the probability concept, it is found that the following probability table corresponds to the frequency table:

x 1 2 3 4 5

p 0.2 0.3 0.05 0.2 0.5

Which is the first table.

The frequency table gives the number of times each outcome happened.A probability is the number of desired outcomes divided by the number of total outcomes.

In the frequency table:

Total of 4 + 6 + 1 + 4 + 5 = 20 outcomes.

The probability of each outcome is:

[tex]p(1) = \frac{4}{20} = 0.2[/tex]

[tex]p(2) = \frac{6}{20} = 0.3[/tex]

[tex]p(3) = \frac{1}{20} = 0.05[/tex]

[tex]p(4) = \frac{4}{20} = 0.2[/tex]

[tex]p(5) = \frac{5}{20} = 0.25[/tex]

Then, the corresponding table is:

x 1 2 3 4 5

p 0.2 0.3 0.05 0.2 0.5

Which is the first table.

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La Quintas population is about 954,000 and is decreasing at an annual rate of 0.1% Predict the population in 50 years

Answers

Answer:

907,450

Step-by-step explanation:

This is a problem of exponential decay. The population is decreasing at 0.1% per year.

The formula to figure this out is  [tex]A=P(1+r)^t[/tex]

Where

A will be the future population (after 50 years)

P is the initial population (which is 954,000)

r is the rate of decrease (which is -0.1% or -0.001)

t is the time in years (which is 50)

Plugging these information into the formula and figuring out A will give us the answer. Shown below:

[tex]A=P(1+r)^t\\A=954,000(1-0.001)^{50}\\A=954,000(0.999)^{50}\\A=907,450.17[/tex]

Since fractional/decimal population is not feasible, we round it off.

The population in 50 years would be around 907,450

Consider the expression below. Place the steps required to determine the sum of the two expressions in the correct order. 3x+6/x^2-x-6 + 2x/x^2+x-12

Answers

Answer:

Help with this please

Step-by-step explanation:

i have the attachment down there

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