True or false. A trapezoid has congruent diagonals and one set of opposite sides that have equal slopes.

Answers

Answer 1
Final answer:

A trapezoid has congruent diagonals and one set of opposite sides that have equal slopes.

Explanation:

A trapezoid is a quadrilateral with one pair of parallel sides. It has two diagonals that connect opposite vertices. The diagonals of a trapezoid are not necessarily congruent because they have different lengths. However, one set of opposite sides of a trapezoid will always have equal slopes.



To see this, we can consider the equation of a line and the formula for slope. Let's say we have a trapezoid with vertices A, B, C, and D. The equation of the line passing through points A and B can be written as y = mx + b, where m is the slope of the line and b is the y-intercept. Similarly, the equation of the line passing through points C and D can be written as y = nx + c. Since the opposite sides of the trapezoid are parallel, the slopes m and n will be equal.



Therefore, the statement is true. A trapezoid has congruent diagonals and one set of opposite sides that have equal slopes.

Learn more about Trapezoid here:

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Related Questions

The table shows the price of bagels at two different stores: Store Price Bagels Bagel Stop $6.00 15 bagels Yummy Bagels $14.00 35 bagels' Yummy Bagels sells bagels at a lower unit price than Bagel Stop. True False

Answers

you divide the price by the amount of bagels. 6/15 is .4, and 14/35 is also .4 each bagel is 40 cents at both places so false
store price : 6 / 15 = 0.40 per bagel
yummy bagels : 14/35 = 0.40 per bagel

false...bagels at both stores have the same unit price

Of 480 students in a high school, 180 were in ninth year. What percent of the students in the school were in the ninth year

Answers

180/480 =0.375

0.375 = 37.5%

so 37.5% of kids are in 9th grade

What is the relationship between the 6's in the number 6647

Answers

We can break down the number 6647 into:
6647=6000+600+40+7
The first 6 in the number is in the thousands place (6,000), and the second 6 is in the hundreds place (600). 
The first 6 is 10 times greater than the second one.

The calculated average of a data set best describes which of the following

A: Mean
B: Median
C:Mode
D:Mean Absolute Deviation

Answers

The calculated average of a data set best describes A: Mean.

what is the circumference of a circle

Answers

the circumference is the distance around the outside of a circle.

 If you know the radius you can use the formula

 circumference = 2 x PI x radius

 

Show work please. If you need to

Answers

dishwasher:

1200*0.15 = 180

1200-180 =$1,020

area:

middle section 6x6 = 36

left triangle 6*6*0.5 = 18

right triangle Area=base x height/2 = 6x6/2 = 18


36 +18 +18 =

72 in^2

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Hey there Duolingocom4! :)

To solve this, you need to first input the value given for the variables:
[tex]mx-y [/tex]
is 
[tex]1*5-2 [/tex]
Follow BEDMAS to simplify the expression.
[tex]5-2 [/tex]
[tex]=3[/tex]

The answer would be 3.

Hope this helps.
-Benjamin

Find an equation in standard form for the hyperbola with vertices at (0, ±10) and asymptotes at y = ±5/6x.

Answers

Standard form equation of hyperbola is:
y² / a² + x² / b² = 1
Vertices are: ( 0, a ) and ( 0, - a ) so :  a = 10
Asymptotes are : y = +/- a/b x
a/b = 5/6
10/b = 5/6
5 b = 60
b = 60 : 5
b = 12
Answer:
y² / 100 + x² / 144 = 1

Find the product. (2p 3)3 · (3p 2)2

Answers

(2p^3)^3 * (3p^2)^2
= 2^3 p^9 * 3^2 p^4
= 8 p^9 * 9 p^4
= 72 p^13
The answer will be 72p^13

Find the percent of discount. Round to the nearest tenth. original price $24,365; selling price $16,820

Answers

24365x = 16820
x = 16820/24365
x(rounded to the nearest tenth) = 0.70

Answer:

The percentage of discount is 31.0 % ( approx )

Step-by-step explanation:

Given,

The original price = $ 24,365

Selling price = $ 16,820

Thus,

[tex]\text{The percentage of discount}=\frac{\text{Original-Selling price}}{\text{Original price}}\times 100[/tex]

[tex]=\frac{24365-16820}{24365}\times 100[/tex]

[tex]==\frac{7545}{24365}\times 100[/tex]

[tex]=\frac{754500}{24365}[/tex]

[tex]=30.9665503796\%[/tex]

[tex]\approx 31.0\%[/tex]

Someone please help!!

Answers

To determine what the value of X is simply use the appropriate trigonometric ratio, which in this case is cos.

Cos 21 = 3/X
X • cos 21 = 3
X = 3/(cos 21)
X = 3.123 about 3.1

The value of X to the nearest tenth would be about 3.1.

7,005.9 rounded to the nearest one

Answers

One in this case is the 5 before the decimal point, so if you're rounding you look to the right and its a 9 so you would have to round one number up.

Answer: 7, 006

Hope this helps :)
Please give brainliest
the answer is 7,006 to the nearest one as 0.9 is over 0.5 so u go up and the one unit is the 5 so u round it up to 6 

answer=7006 to nearest one

brainliest g and thanks plz:))))))))))))

The table below shows the radius y, in inches, created by growing algae in x days: Time (x) (days) 5 10 15 20 Radius (y) (inches) 1 3 9 22 Part A: What is the most likely value of the correlation coefficient of the data in the table? Based on the correlation coefficient, describe the relationship between time and radius of the algae. [Choose the value of the correlation coefficient from 1, 0.94, 0.5, 0.02.] (4 points) Part B: What is the value of the slope of the graph of radius versus time between 5 and 10 days, and what does the slope represent? (3 points) Part C: Does the data in the table represent correlation or causation? Explain your answer. (3 points)

Answers

PART A:

The data is plotted in the graph below. The line best fit is drawn to show the trend of the data. Since the plots form a cluster that follows the line best fit and there are no outliers, the most likely coefficient is 0.94 which is a strong positive correlation.  

PART B:

The value of slope between x = 5 and x = 10 is
Slope = (3-1) ÷ (10-5) = 2/5

The slope represents the rate of change of the radius, which is 2/5 for every 5 days

PART C:

The data in the table represents correlation, that the algae grow longer as the days increase. It might not be necessary a causation because the growth of algae doesn't necessarily depend on the number of days.

The
6

students in Mrs. Flores' class were asked how many minutes it takes them to get to school in the morning. Here is what they answered:

7, 10, 16, 8, 5, 13

Find the mean and median travel times for these students.
If necessary, round your answers to the nearest tenth.

Answers

The median is nine (9). You add each number up, and then you divide by the amount of numbers you have. 
The mean is 9.83 according to my calculations. 

Please Help...................

Answers

When you are multiplying numbers with exponents, you always add them.
(5^4) * (5^8)
5^(4+8)
5^12

Answer is 
A. 5^12
its going to be the first choice cause u have to add the exponet

answer 5 of the power of 12 or 5 exponet 12

find the greatest common factor of each set of numbers 24,30,42

Answers

the creates common factor for all of them is 6
The greatest common factor of 24,30,and 42 is 6
If you look at all their multiples the highest is 6

Using synthetic division, how do you know if a given value is a root of a polynomial function?

Answers

When using synthetic division, if the answer has no remainder, it means it is a root of the polynomial function

Final answer:

A given value is a root of a polynomial function if, after using synthetic division, the remainder is zero. The remainder is found in the last position of the bottom row after performing synthetic division with the given value.

Explanation:

To determine if a given value is a root of a polynomial using synthetic division, follow these steps:

Write down the coefficient of the polynomial.

Place the value you want to test for being a root (let's call it 'c') to the left of the coefficients.

Bring down the leading coefficient to the bottom row.

Multiply 'c' by the value you just brought down and write the result underneath the second coefficient.

Add the second coefficient to the product you just wrote down and write the sum in the bottom row.

Repeat the multiplication and addition process until you reach the end of the row.

If the last number in the bottom row, which represents the remainder, is zero, then 'c' is a root of the polynomial. If the remainder is not zero, 'c' is not a root.

Understanding how to perform such operations is essential, especially when dealing with complex equilibrium problems where square roots, cube roots, or higher roots come into play. If unsure about carrying out these operations, particularly on a calculator, it is advisable to seek assistance from your instructor.

What is 3 divided by 363

Answers

Do you mean "363 divided by 3"?

If you meant "363 divided by 3", the answer would be: 363/3 = 121
If you meant "3 divided by 363", the answer would be: 3/363= 0.0083

***I, personally, would go for the first answer: 121***
3 divided by 363 is0.0082644628

heartbeat takes 0.8 seconds.how many seconds is this written as a fraction?

Answers

0.8 = 8/10

simplified = 4/5 seconds

hope this helps
0.8 written as a fraction is 4/5

Gabriel drives 80 kilometers in one hour. if he drives at the same speed, how many kilometers can he drive in 3.75 hours?

Answers

80/4=20 20/4=5  The answer to this problem is 300 Kilometer in 3.75 hours

Help!

Which of the following is not a condition for a tessellation?

The shape or shapes must be repeated.
The shapes must not overlap.
There can be no gaps.
The shapes must be polygons.

Answers

Answer:

The shapes must be polygons.

Answer:

The shapes must be polygon

Step-by-step explanation:

did a test that was the answer, also if ur looking up answers for a test look them all up cuz im not big brain and a got a 72 thinking i was smart and knew how to do the questions

Triangle ABC is a right triangle
The length of BC is 5 units.
The area of ABC is ____ square units.

Answers

Answer:

50 square units.

Step-by-step explanation:

Given in the picture is a right angled triangle

The coordinates of A are (-9,10) and B are (7,-2) and C is (4,-6)

Given that BC = 5 units

AB = distance between A and B

=distance between two points (-9,10) and (7,-2)

=[tex]\sqrt{(-9-7)^2+(10+2)^2} =\sqrt{256+144} \\=20[/tex]

Thus if we consider BC as base then AB is the height

Area of triangle = 1/2 bh = 1/2 (5)(20)

= 50 square units

The area of the triangle is: 50 square units.

What is the Area of a Triangle?

Area of a triangle = 1/2(base × height).

Given right triangle ABC:

Base = BC = 5 units

Height = AB = ?

Using the distance formula, [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex] to find AB:

Let,

A(-9, 10) = (x1, y1)

B(7, -2) = (x2, y2)

Thus:

[tex]AB = \sqrt{(7 -(-9))^2 + (-2 - 10)^2}\\\\AB = 20 $ units[/tex]

Area of triangle = 1/2(5 × 20) = 50 square units.

Learn more about the area of triangle on:

https://brainly.com/question/21735282

What is 64,005,874 in word and expanded form and 30,679,100

Answers

64005874  
word form: sixty-four million, five thousand, eight hundred and seventy-four
expanded form: 60000000 + 4000000 + 5000 + 800 + 70 + 4
30679100
word: thirty million, six hundred seventy nine thousand, and one hundred
30000000 + 600000 + 70000 + 9000 + 100

hope this helps

Which scenario best matches the linear relationship expressed in the equation y = 32x + 80? (4 points)


a. Joseph has $80 in his bank account and spends $32 each day.
b. Joseph has $80 in his bank account and earns $32 each day.
c. Joseph had $32 in his bank account and deposited another $80.
d. Joseph has $32 in his bank account and earns $80 each day.

Answers

Each day the amount increases by $32 and at days=0 he had $80 so:

b. Joseph has $80 in his bank account and earns $32 each day.

John and Jim painted a
fence John painted 1/4 of the fence and Jim painted 5/12 of the fence how much of the offense did they paint total

Answers

1/4+5/12=3/12+5/12=8/12=4/6=2/3

they painted 2/3 of the fence

What is twice 2 to the 30 power? Write in exponents. Explain your reasoning

Answers

Twice 2 to the 30-th power is
2*2³⁰ = 2¹*2³⁰ = 2³¹

For very large numbers, it is the usual practice to use scientific notation.
From the calculator, obtain
2³¹ = 2.1475 x 10⁹

Answer:  2.1475 x 10⁹

Is it possible for two different inputs to give you the same output? Justify your answer please.

Answers

yes it is possible. input and outputs yayyyy
Yes it to is possible

what is an equivalent ratio

Answers

Equivalent ratios are two ratios that express the same relationship between numbers. We can create equivalent ratios by multiplying or dividing both the numerator and denominator of a given ratio by the same number.

Two ratios that are equivalent means that they are equal to each other.

HELP PLEASEEE I WILL GIVE BRAINLIEST ANSWER!!!!!!!!!!

The dot plot shows how many attempts it took for each student to complete a puzzle:


Is the median or the mean a better measure of center for these data and why?


 Mean, because the data are skewed and there are outliers

 Mean, because the data are symmetric and there are no outliers

 Median, because the data are skewed and there are outliers

 Median, because the data are symmetric and there are no outliers

Answers

The best answer is Mean, because the data are symmetric and there are no outliers

Answer:  Mean, because the data are symmetric and there are no outliers.

Step-by-step explanation:

The given dot plot shows how many attempts it took for each student to complete a puzzle.

From the given dot plot, we observe that it has no outlier and the data is symmetric.

Therefore , the mean is a better measure of center for these data because mean the data are symmetric and there are no outliers .

"If a data is skewed or has outliers, then we choose median to measure the center of data over mean."

Which equation represents a linear function that has a slope of 4/5 and a y-intercept of –6?

Answers

Use the form y=mx+b where m is the slope and b is the y-intercept: y=4/5x-6

Answer:

y = 4/5x-6

Step-by-step explanation:

Edge 2020

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