which of the following are necessary when proving that the opposite side of a parallelogram are congruent?

Answers

Answer 1
The congruent triangles are congruent.

A parallelogram is congruent if the corresponding angles are congruent and they form a common triangle. A parallelogram is also congruent if the sides are parallel to each other and can be divided into two common triangles.
Answer 2

Answer: If anyone needs this in more simple terms it would be, “Alternate interior angles are congruent” and “ corresponding parts of congruent triangles are congruent“

Step-by-step explanation: The rules of parallelograms, the quotes are from Ap3x (it registered as a link)


Related Questions

A typical stone on the lowest level of the Great Pyramid in Egypt was a rectangular prism 5 feet long by 5 feet high by 6 feet deep and weighed 15 tons. What was the volume of the average stone? How much did one cubic foot of the stone way?

Answers

To find the volume, you need to do length times width times heightSO you have to do 5 times 5 times 6The volume is 150 cubic feetSince 150 cubic feet of this rectangular prism is 15 tonsyou can do 15 divided by 150so one cubic feet of this stone sculpture weight 0.1 tons

3. Quilt squares are cut on the diagonal to form triangular quilt pieces. The hypotenuse of the resulting triangles. Is 18 inches long. What is the side length of each piece?

4. Find the missing value to the nearest hundredth.
sin________=8/15

Answers

These are two questions and two answers:

Question 3.

Answer: fourth option 9√2

Explanation:

1) Since the original quilt is square, you know that the diagonal length is the hypotenuse of the two triangles formed and it satifies this formula, derived from the Pythagorean theorem:

(diagonal) ^2 = (hypotenuse)^2 = 2 * (side length)^2

2) Solve for the side length:

(side length)^2 = (diagonal)^2 / 2

=> side length = √ [ (diagonal)^2 / 2 ] = diagonal * (√2) / 2

3) Substitute the diagonal length value:

side length = 18 * (√2) / 2 = 9√2

Question 4

Answer: second option 32.23°

Explanation

1) Given sin(angle) = 8 /15

2) To find the angle you have to use the inverse function, arcsin

angle =  arcsin (8/15)

3) The calculator uses that function and the result that it gives is 32.23°.

To avoid confusions make sure that the calculator is in mode degrees.

Using the variables 'x' and 'y', write an equation for the situation. Your school sold adult and student tickets for a high school play. They sold a total of 782 tickets.

Answers

x+y=782

Is there any other info given or no?

Step 1: Assign variable for the unknown that we need to find

Let ' x ' be the number of adult tickets

and Let ' y ' be the number of student tickets

Step 2: Use the given sentence to write an equation.

Sentence: "Your school sold adult and student tickets for a high school play. They sold a total of 782 tickets."

[tex] Number \; of\; adult\; tickets + \; Number \; of\; student\; tickets\; =\; Total\; number\; of\; tickets\\ \\ x + y = 782 [/tex]


ratios equivalent to 2:6.

Answers

The ratios equivalent to 2:6 are: 9:3 and 7:21

The given ratio is [tex]\(2:6\)[/tex]. To find equivalent ratios, you can multiply or divide both parts of the ratio by the same non-zero number. Let's analyze the options:

1. 10:7

  To check if this is equivalent to 2:6, divide both parts by 2:

[tex]\[\frac{10}{2} : \frac{7}{2} = 5: \frac{7}{2}\][/tex]

  This is not equivalent.

2. 9:3

  To check if this is equivalent to 2:6, divide both parts by 3:

 [tex]\[\frac{9}{3} : \frac{3}{3} = 3: 1\][/tex]

  This is equivalent.

3. 7:21

  To check if this is equivalent to 2:6, divide both parts by 7:

 [tex]\[\frac{7}{7} : \frac{21}{7} = 1: 3\][/tex]

  This is equivalent.

Therefore, the ratios equivalent to 2:6 are:

2:6

9:3

7:21

|12-14|-|15|. How do you figure this equation out anyone?

Answers

As a rule, the value inside absolute ( l l )

will always be positive. So,

l12-14l-l15l = l-2l-l15l = 2 - 15 = -13 Ans.


A rectangular field is 0.45 kilometers long and 0.4 kilometers wide. What is the area of the field in square meters? Do not round your answer. Be sure to include the correct unit in your answer.



Answers

area of rectangle = l * w

here l=0.45 km

w=0.4 km

area = 0.45 * 0.4 = 0.18 sq. km

Answer : Area = 0.18 km²

Problem:Broderick had 420 in his checking account. He made 6 deposits of 35.50 each and he needs to write 4 checks for 310.75 each.
Question: I need to know an INTEGER to represent the total deposits Broderick made and another integer to represent Broderick needs from his checking account to cover the checks?

Answers

Broderick made 6 deposits of 35.50 each. Then total deposits are: 6*$35.50= $213

He needs to write 4 checks for 310.75 each. Then total checks are: 4* $310.75- $1243

To cover the checks, Broderick will need to add: $1243- ($420 + $213)= $610

Lorenzo plans to purchase three identical shirts. The shirts are on sale for 20% off. Let c represent the cost of each shirt. Which expressions can Lorenzo use to calculate his total cost for the three shirts after the discount?

Select each correct answer.


A. 0.80(3c)

B. 3c−0.20(3c)

C. 3(c−0.20c)

D. 1.20(3c)
please help

Answers

A. 0.80(3c)
B. 2c-0.20(3c)
C. 3(c-0.20c)

I'm 100% sure that these are the answers. ♡

Answer:

Options A, B and C are correct choices.

Step-by-step explanation:

Let c represent the cost of each shirt.

As Lorenzo bought 3 shirts, so the cost of 3 shirts will be 3c.    

We have been given that the shirts are on sale for 20% off, so the total cost of three shirts after discount will be 3c minus 20% of 3c.

We can represent this information in an equation as:

[tex]\text{Total cost for the three shirts after the discount}=3c-(\frac{20}{100}\times 3c)[/tex]

[tex]\text{Total cost for the three shirts after the discount}=3c-(0.20\times 3c)[/tex]

[tex]\text{Total cost for the three shirts after the discount}=3c-0.60c[/tex]

[tex]\text{Total cost for the three shirts after the discount}=2.40c[/tex]

Let us see our given choices one by one.

A. 0.80(3c)

Upon simplifying our given expression we will get,

[tex]0.80(3c)=2.40c[/tex]

Therefore, option A is a correct choice.

B. 3c−0.20(3c)

We have already seen that total cost of 3 shirts after discount will be 3c minus 20% of 3c and after simplifying our expression we will get,

[tex]3c-0.20(3c)=3c-0.60c=2.40c[/tex]

Therefore, option B is a correct choice as well.

C. 3(c−0.20c)

Upon simplifying our given expression we will get,

[tex]3(c-0.20c)=3c-0.60c=2.40c[/tex]

Therefore, option C is a correct choice as well.

D. 1.20(3c)

Upon simplifying our given expression we will get,

[tex]1.20(3c)=3.60c[/tex]

Since total cost of 3 shirts after discount is 2.40c, therefore, option D is not a correct choice.

a rectangular prism has a length of 4 feet, a width of 1 yard, and a height of 3 inches. what is the total surface area of the prism to the nearest tenth of a square foot?

Answers

[(4x3)x2]+[(1x3)x2]+[(1x4)x2]=38
38.0 square feet

The heights of all the 12-year-old boys in the United States are normally distributed with a mean of 59 inches and a standard deviation of 3 inches. What is the probability that a boy chosen randomly from that age group will have a height greater than 65 inches?

Answers

65 inches is 2 standard deviations away from the mean (59 + 3 + 3 = 65).  In a normal distribution, 95% of data falls within 2 standard deviations from the mean.  The remaining for the tails would be 100-95=5%.  This would include both tails, however.  We just want the upper level, so we divide by 2:  5/2 = 2.5%.  The probability is 2.5% or 0.025.

Find the missing value to the nearest hundredth of a degree. Help!!

Answers

we have that 
cos(alfa)=0.2546
arc cos (0.2546)=75.2501---------- > 75.25°
the answer is 75.25°

Answer:

The answer above for question 7 is also correct its B. 30 degrees. Because that anser is hard to find on here.

Step-by-step explanation:

help me please which one is the answer

Answers

The graph is skewed to the LEFT. There are fewer data plots to the left.
There are more values larger than there are smaller, so it is skewed left.

ANSWER: First choice: the graph is skewed left.

Hope this helps! :)

An exponential function f(x) is reflected across the y-axis to create function g(x). Which is a true statement regarding f(x) and g(x)?
A. The two functions have no points in common.

B. The two functions have the same initial value.

C. The two function have opposite output values of each other for any given input value.

D. The graph of the two functions would look exactly the same.

Answers

It's B, I'm doing my online school assignment and this was the correct answer.
I think the correct answer is b

If m∠

1=45 degrees, which other angles have a measure of 45 degrees? Select all that apply.



2


3


4


5


6

Answers

Answer:

4,5

Step-by-step explanation:

The person above me is correct

The angles ∠2 = 135°, ∠3 = 135°, ∠4 = 45°, ∠5 = 45°, and ∠6 = 135° (all are in degrees)

What is an angle?

Angle is the space between the line or the surface that meets.  And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.

The angle ∠1 = 45° is given. And the diagram is shown.

Types of the angles are as follows;

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.Corresponding angle - If two lines are parallel then the third line. The corresponding angles are equal angles.Vertically opposite angle - When two lines intersect, then their opposite angles are equal.Alternate angle - If two lines are parallel then the third line will make z -angle and z-angles are equal angles with the parallel lines.

 ∠1 + ∠2 = 180°    (Supplementary angle)

45° + ∠2 = 180°

        ∠2 = 135°

∠1 = ∠5 = 45°   (Corresponding angle)

∠2 = ∠6 = 45°   (Corresponding angle)

∠1 = ∠4 = 135°   (Alternate angle)

∠2 = ∠3 = 135°   (Alternate angle)

More about the angled link is given below.

https://brainly.com/question/15767203

Amir is operating a machine that adds sand to a concrete mixture. The machine adds 1/10 ton of sand to the mixture in 4/5 minute. Enter a number in each box to complete the statements. Write the ratio that compares 1/10 ton of sand to 4/5 minute. The ratio in ton(s) per minute(s) is $$ ​. Simplify the ratio to find the amount of sand added in one minute. ton(s) per minute

Answers

for the above question, we can first convert the fractions to decimals to make it easier to work with

1/10 of sand - 0.1 ton 

4/5 minute - 0.8 minute

Q1 - 

ratio 

0.1:0.8

since the ratio is in decimals we can convert it to whole numbers by multiplying by 10

1:8

Q2. amount of sand added in 0.8 minutes - 0.1 ton

       amount of sand added in 1 minute - 0.1/0.8 = 0.125 tons


What is the side length of a cube with a volume of 0.008 m3?

Answers

I'm sorry, I don't really know how to explain, but I don't want you to feel ignored? I don't know, maybe I'll come up with a good explanation later.

0.008=8/1000

Cube root of 8/cube root of 1000 = 2/10

2/10=1/5

The side length of the cube is 0.2 meters.

Hope this helps?

Answer:0.2

Step-by-step explanation:

how many minutes are in the time interval from 7:09 a.m. to 10:36 a.m.

Answers

7.09 AM - 10.36 AM

In-between these two times, there are 3 hours and 27 minutes.

This calculates to 207 minutes.

A bird picks up a golf ball and drops it while flying 81 feet above the ground. The ball hits the top of a 32-foot-tall pine tree then bounces down to the ground. After how many seconds does the ball hit the tree?

Answers

its unable to answer this because it never says how long it yoke to hit the tree

A bird picks up a golf ball and drops it while flying 81 feet above the ground

The ball hits the top of 32 foot - tall pine tree

Now distance travelled by the ball till hitting the pine tree = 81 - 32

= 49 feet

now we have to convert feet into metre

49 feet = 14.93 metre

By applying formula s = ut + 1/2at^2

here initial velocity u = 0

And acceleration is g

therefore, 14.93 = 1/2*9.8*t^2

i.e. 14.93 = 4.9*t^2

i.e. t^2 = 14.93/4.9 = 3.047

i.e. t = 1.75 secs

Therefore ball hits the tree after 1.75 secs

how do you compare y intercepts and rates of change

Answers

the y-intercept can't be compared to the unit rat because they are different, very different. the Y-intercept gets added to the product that is produced by the unit rate.

The rate of change is represented by the slope of a line and the y-intercept is the value of y at the point where the line crosses the y-axis. Hope this helps!

Which civilization was known to use geometry to construct canals for the transportation of water?

A.
Greeks
B.
Egyptians
C.
Maya
D.
Babylonians

Answers

The correct answer should be D. Babylonians.
The correct answer I believe is D

Owen settled on a price of $7,870 for a new car. The dealer had to add 4.5% sales tax to this price, but allowed a $1,200 trade-in for Owen's old car. Although not a universal practice, please add the sales tax to the price of the new car first and then deduct the trade- in value. If the dealer required a 15% down payment, calculate the amount of the purchase price that Owen financed.

Answers

Final answer:

To find the amount that Owen financed, we first calculate the sales tax, add it to the initial price, deduct the trade-in value, and then calculate the percent of the final price that Owen needs to finance.

Explanation:

To solve the problem, we first need to calculate the total cost of the car by adding the sales tax to the original price. Sales tax is calculated as follows: $7,870 * 4.5/100 = $354.15. So, the total cost before the trade-in is $7,870 + $354.15 = $8,224.15.

Next, we deduct the trade-in value of the old car, which is $1,200. The price after trade-in is, therefore, $8,224.15 - $1,200 = $7,024.15.

Finally, the dealer requires a 15% down payment. The amount Owen needs to finance is therefore 85% of the final price (100% - 15% = 85%). The financed amount is: $7,024.15 * 85/100 = $5,970.53.


Learn more about Sales Tax and Financing here:

https://brainly.com/question/32497551

#SPJ12

Lee baked 50 cookies. He gave some to a friend and ate 50% of the remaining cookies. He had 15 cookies left. What percentage of the cookies did he give to his friend?

Answers

He had 50 cookies
He ate 50% of the remaining cookies.
He had 15 cookies left

15 = 50% so 30 = 100%

He had 30 left after giving cookies to his friend.
50 - 30 = 20

He gave 20 cookies to his friend.
20 is 40% of the total amount of cookies.

He gave his friend 40% of the cookies

If you were given a rectangle with a certain area how would you draw it so that it had the greatest perimeter

Answers

Anwer: draw a square with side length equal to the square root of the area of the rectangle.

Explanation:

The rectangle that has the greatest perimeter given a fixed area is the square.

So, take the square root of the area and draw a square with that side length.

The demostration of that is done using the optimization concept from derivative. If you already studied derivatives you can follow the following demostration.

These are the steps:

1) dimensions of the rectangle:

length: l
width: w

perimeter formula: p = 2l + 2w
area formula: A = lw

2) solve l or w from the area formula: l = A / w

3) write the perimeter as a function of w:

p = 2 (A / w) + 2w

4) find the derivative of the perimeter, dp / dw = p'

p' = - 2A / w^2 + 2

5) The condition for optimization is p' = 0

=> -2A / w^2 + 2 = 0

=> 2A / w^2 = 2

=> w^2 = A

Which means that the dimensions of the rectangle are w*w, i.e. it is a rectangle of side length w = √A

To maximize the perimeter of a rectangle with a given area, increase the length and decrease the width significantly.

To draw a rectangle with the greatest perimeter given a certain area, you should make the rectangle as long and narrow as possible. When the length of the rectangle approaches infinity and the width approaches zero while maintaining the same area, the perimeter is maximized.

The amount of money that Charlie saves each week is directly proportional to the amount he earns. Last week Charlie saved $32 on his earnings of $512. At the same rate, how much will Charlie save this week on his earnings of $448?

Answers

if k is a constant of proportionality then we know from last week that
512= k ·32 so k=512/32=16;

This week 
448= k · amount he saved
448=16· amount he saved
amount saved=448/16=28

Answer $28


Answer:

$28.

Step-by-step explanation:

Let y represent of saved money and x represent amount of earned money.

We have been given that the amount of money that Charlie saves each week is directly proportional to the amount he earns.

We know that two proportional quantities are in form [tex]y=kx[/tex], where, k is constant of proportionality.

Substitute given values and solve for k:

[tex]32=k*512[/tex]

[tex]\frac{32}{512}=\frac{k*512}{512}[/tex]

[tex]\frac{1}{16}=k[/tex]

To find amount of saved money, we will substitute [tex]k=\frac{1}{16}[/tex] and [tex]x=448[/tex] in our equation.

[tex]y=\frac{1}{16}\cdot 448[/tex]

[tex]y=28[/tex]

Therefore, Charlie saved $28 in the given week.

Mrs. Jackson earned a $500 bonus s for signing a one-year contract to work as a nurse. Her salary is $22 per hour. If her first weeks checks including the bonus is $1,204, how mqny hours did Mrs. Jackson work?

Answers

Final answer:

To find the number of hours Mrs. Jackson worked, subtract the bonus from her total earnings and divide the result by her hourly rate. Mrs. Jackson worked 32 hours.

Explanation:

To find the number of hours Mrs. Jackson worked, we need to subtract the bonus from her total earnings and divide the result by her hourly rate. Let's set up an equation:

Total earnings - Bonus = Hourly rate * Number of hours worked

$1204 - $500 = $22 * ">Number of hours worked

$704 = $22 * Number of hours worked

Divide both sides of the equation by $22:

Number of hours worked = $704/$22 = 32 hours

Therefore, Mrs. Jackson worked 32 hours.

Final answer:

Mrs. Jackson worked 32 hours in total.

Explanation:

To calculate the number of hours Mrs. Jackson worked, we need to subtract the bonus from her total earnings and then divide the result by her hourly rate.

Let's set up an equation for this:

Total earnings - Bonus = Hourly rate * Hours worked

Substituting in the given values:

1204 - 500 = 22 * Hours worked

Simplifying the equation:

704 = 22 * Hours worked

Dividing both sides by 22 gives:

Hours worked = 704 / 22 = 32

Therefore, Mrs. Jackson worked 32 hours in total.

Ryan made 65 ounces if apple jelly. He put the same amount of jelly into 6 jars. How much jelly is in each jar?

Answers

65 divided by 6 is your answer of 10.83
To find the answer, we need to divide the total amount of jelly Ryan has by the amount of jars he has. This would create the equation:
65 oz / 6 jars

And now we solve:
65 / 6 = 10.83 oz


The answer is: There are 10.83 oz in each jar.

Show twelve in four different ways.use words, pictures and numbers

Answers

You can draw 12 lines
Draw a dime and two pennies
Draw a circle and cut it into 12 different pieces
Write out the number 12 Twelve
Write 12

Im desperate xD

I KEEP TRYING AND FAILING HELP PLS

Burger Barn makes dipping sauce by mixing 2 spoonfuls of honey with 1/2 spoonful of mustard. Sandwich Town makes dipping sauce by mixing 4 spoonfuls of honey with 1 spoonful of mustard. Which dipping sauce has a stronger mustard flavor?

Answers

They both have the same intensity because both of them have a 1:4 ratio of concentration.
Burger Barn make for every
2 spoonfuls of honey....................1/2 spoonful of mustard if we multiply by 2
4 spoonfuls of honey......................1 spoonful of mustard
sandwich Tom has the same strength of dipping sauce
4 sp of honey to 1 of mustard
both are the same 

3x=-5y
6x-7y=17
Solve the equation

Answers

3x = -5y -------------- (1)
6x - 7y = 17 --------- (2)

From (1):
3x = -5y
x = -5/3 y ---------- sub into (2)

6 (-5/3 y) - 7y = 17
-10y - 7y = 17
-17y = 17
y = -1 ------------ Sub into (1)
3x = -5 (-1)
3x = 5
x = 5/3

Ans: x = 5/3, y = -1

Final answer:

To solve the system of equations, we first expressed x in terms of y from the first equation and substituted it into the second equation. After simplifying, we solved for y and then substituted back into the first equation to find x. The solution is x = 5/3, y = -1.

Explanation:

To solve the system of equations 3x = -5y and 6x - 7y = 17, one can use the method of substitution or elimination. We'll use elimination for this example. First, observe that the first equation can be rewritten to solve for x in terms of y:

3x = -5y
x = -5y/3

Let's substitute this expression for x into the second equation:

6(-5y/3) - 7y = 17
-10y - 7y = 17
-17y = 17
y = -1

Now substitute y back into the first equation to find x:

3x = -5(-1)
3x = 5
x = 5/3

The solution to the system of equations is x = 5/3, y = -1.

I don’t know how to do it

Answers

Basically, we need to find the diagonal of the square. Once we have the diagonal, we need to find if it's more or less than 11 cm, which is diameter of the circle.
This is the formula we'll use:
a²+b²=c²
Since it's a square, a and b are the same.
7²+7²=c²
49+49=c²
98=c²
√98=c
c=9.8995
So, the diagonal is 9.8995
9.8995<11

So, since the diagonal of the square is 9.8995 cm, it is less than the circumference of the circle meaning that it will fit in to the circle without touch the circle's circumference.
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