Which of the following are necessary when proving that the diagonals of a
rectangle are congruent? Check all that apply.
o A. Opposite sides are congruent.
O
B. All obtuse angles are congruent.
O
C. Opposite sides are perpendicular.
O
D. All right angles are congruent.
Answers
Answer:look
Step-by-step explanation:
The diagonals of a rectangle exist congruent the necessary conditions are
A. Opposite sides are congruent.
C. Opposite sides are perpendicular.
How to verify that the diagonals of a rectangle are congruent?A quadrilateral exists named a rectangle if the opposite sides exist congruent and parallel to each other. All interior angles exist as right angles and are congruent.
To verify that the diagonals of a rectangle exist congruent the necessary conditions are:
1. Opposite sides of a rectangle exist congruent.
2. All right angles exist congruent.
Therefore, the correct answer is options A and C.
A. Opposite sides are congruent.
C. Opposite sides are perpendicular.
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Related Questions
What is the next term in the following sequence? -3, 4, 11, 18, ...
Answers
Answer:25
Step-by-step explanation: Add 7 to the next term to get the next term.
-3+7=4
4+7=11
11+7=18
18+7=25
Kittens weigh about 100 grams when born and gain 7 to 15 grams per day. If a kitten weighed 100 grams at birth and gained 8 grams per day, in how many days will the kitten triple its weight
Answers
First, start with an equation
100+8x= kittens weight
(X representing the days)
Since you’re trying to figure out the number of days it takes the kitten to triple it’s weigh you multiply it’s initial weight by 3 (100•3)
Then, you output 300 into the equation and solve
A kitten weighing 100 grams at birth and gaining 8 grams per day will take 25 days to triple its birth weight and reach 300 grams.
To calculate the number of days it will take for a kitten to triple its birth weight, we will use the given rate of weight gain and the initial weight. A kitten weighs about 100 grams at birth and gains 8 grams per day. To triple the kitten's weight, it must reach 300 grams (100 grams multiplied by 3).
First, we find the total weight gain needed for the kitten to triple its weight:
300 grams (desired weight) - 100 grams (birth weight) = 200 grams (weight gain needed).
Next, we divide the total weight gain needed by the daily weight gain to find the number of days:
200 grams (weight gain needed) / 8 grams (daily weight gain) = 25 days.
Therefore, it will take the kitten 25 days to triple its birth weight at a rate of 8 grams per day.
Eight more than seven times a number is 8
Answers
Answer:
The number is 0
Step-by-step explanation:
We form an equation using the statement:
8 = 7x + 8
Then we solve it:
8 = 7x + 8
8 - 8 = 7x
0 = 7x
0 ÷ 7 = x
x = 0
The height h in feet of a ball thrown vertically upward from the top of a 288-foot tall building is given by h=288+48t-16t^2 where t is in seconds. How long will it take to he penny to strike the ground.
Answers
6 sec can take penny to strike the ground.
Solution:
Given data:
[tex]H_0=288[/tex] feet
[tex]V_0=48[/tex] feet
[tex]h(t)=288+48t-16t^2[/tex]
Re-arrange the terms from greatest degree to smallest degree.
[tex]h(t)=-16t^2+48t+288[/tex]
We can solve it by applying quadratic formula,
[tex]$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Here a = –16, b = 48, c = 288
[tex]$t=\frac{-48\pm \sqrt{48^2-4(-16)(288)}}{2(-16)}[/tex]
[tex]$t=\frac{-48\pm \sqrt{2304+18432}}{-32}[/tex]
[tex]$t=\frac{-48\pm \sqrt{20736}}{-32}[/tex]
[tex]$t=\frac{-48\pm144}{-32}[/tex]
Now, write find two t's using plus and minus operation.
[tex]$t=\frac{-48+144}{-32},\ \ t=\frac{-48-144}{-32}[/tex]
[tex]$t=\frac{96}{-32},\ \ t=\frac{-192}{-32}[/tex]
t = –3 (or) t = 6
We cannot write time is negative. so neglect t = –3.
Therefore t = 6.
Hence 6 sec can take penny to strike the ground.
Question 3 of 50
Line A in the given graph has what kind of slope?
-1/2
0
undefined
Answers
Write an inequality that represents 54 less than 1/2 of a number is more than 233
Answers
[tex]\frac{1}{2}[/tex]x - 54 > 233 would be your inequality.
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The inequality that represents 54 less than 1/2 of a number is more than 233 would be; 1/2 x - 54 > 233
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.
Given that 54 less than 1/2 of a number is more than 233
Let the number be x.
So, 1/2 of a number means 1/2x
54 less than 1/2 of a number = 1/2 x - 54
Therefore,
Hence, 1/2 x - 54 > 233 would be your inequality.
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Angie and Eric have opened a jumbo bag of candies and counted the number of each color. They have 100 red, 180 green, 90 yellow, and 130 brown candies. Sarah and Laney each take turns drawing a candy, replacing each candy after they draw. If Angie and Eric each draw a candy 500 times, how many times should they expect for Angie to draw a brown candy followed by Eric drawing a red candy?
Answers
Answer:
26 times.
Step-by-step explanation:
Total number of candies = 500.
Probability ( Angie drawing a brown candy) = 130/500 = 13/50.
Probability (Eric drawing a red candy) = 100/500 = 1/5.
So Probability ( Angie drawing brown then Eric drawing a red) = 13/50 * 1/5
= 13/250.
Therefore the expectation of the number of times this will happen
= Probability * total number of draws
= (13/250) * 500
= 13 * 2
= 26 times.
Each year the local country club sponsors a tennis tournament. Play starts with 128 participants. During each round, half of the players are eliminated. How many players remain after 5 rounds?
Answers
Answer:4
Step-by-step explanation:
128, 64, 32, 16, 8, 4
The number of players remaining after 5 rounds is equal to 4 players.
What is an exponential function?An exponential function refers to a mathematical function whose numerical values are generated by a constant that is raised to the power of an argument.
Mathematically, the number of players remaining after 5 rounds is given by:
f(x) = neˣ
f(x) = 128 × (1/2)⁵
f(x) = 128 × 0.03125
f(x) = 4 players.
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what is 130/15 simplifed
Answers
Answer:
26/3Step-by-step explanation:
answer:
5 or 26/3
step-by-step explanation:
either one is okay mine is just simplified all the way :)
How much pure acid is in 440 milliliters of a 19% solution
Answers
Answer:
83.6 mL
Step-by-step explanation:
Given 440 mL of 19% acid solution. This means the whole volume of this acid solution is 100%. Let x mL be the volume of pure acid in this solution.
Then
[tex]440\ mL - 100\%\\ \\x\ mL - 19\%[/tex]
Write a proportion:
[tex]\dfrac{440}{x}=\dfrac{100}{19}[/tex]
Cross multiply:
[tex]100\cdot x=440\cdot 19\\ \\x=\dfrac{440\cdot 19}{100}\\ \\x=\dfrac{8,360}{100}\\ \\x=83.60\ mL[/tex]
Final answer:
In 440 milliliters of a 19% solution, there are 83.6 milliliters of pure acid, calculated by multiplying the percentage (converted to a decimal) by the total volume of the solution.
Explanation:
To find out how much pure acid is in 440 milliliters of a 19% solution, you need to use the concept of percentage concentration in chemistry. The percentage concentration tells us how much of a substance is present in a solution compared to the total amount of the solution.
In this case, we have a 19% acid solution. This means that 19% of the solution's total volume is pure acid. To calculate the volume of pure acid, you multiply the total volume of the solution by the percentage (expressed as a decimal).
Calculation:
Convert the percentage to a decimal: 19% = 0.19
Multiply this decimal by the total volume of the solution: 0.19 × 440 mL
This gives us the volume of pure acid: 0.19 × 440 mL = 83.6 mL
So, there are 83.6 milliliters of pure acid in 440 milliliters of a 19% acid solution.
Consider the dice A, B, and C below. The opposite sides have the same values as those shown.
A(2,9,4) B(1,8,6) C(3,7,5)
a) If A is rolled against B with the higher number the winner, which should you bet on? Why?
Explain in terms of probability.
b) What if B is rolled against C?
c) Now what about C against A?
Answers
Answer:
a) A
b) B
c) C
Step-by-step explanation:
There are 9 different outcomes when 2 die are rolled.
a) A & B : A has a higher chance of winning, i.e probability of 5/9
(A,B) : (2,1) (9,1) (9,8) (9,6) (4,1)
In other 4 possible outcomes, B will win which is a probability of 4/9 (less than 5/9)
b) B & C: B has a higher chance of winning, i.e probability of 5/9
(B,C) : (8,3) (8,7) (8,5) (6,3) (6,5)
In other 4 possible outcomes, C will win which is a probability of 4/9 (less than 5/9)
c) A & C: C has a higher chance of winning, i.e probability of 5/9
(A,C) : (2,3) (2,7) (2,5) (4,7) (4,5)
In other possible outcomes, A will win which is a probability of 4/9 (less than 5/9)
Subtract. (5 x 2 −3x−2)−(−2 x 2 −x+10)
Answers
Step-by-step explanation:
We have,
(5[tex]x^2[/tex] − 3x − 2) − (− 2[tex]x^2[/tex] − x + 10)
To subtract (5[tex]x^2[/tex] − 3x − 2) − (− 2[tex]x^2[/tex] − x + 10) = ?
∴ (5[tex]x^2[/tex] − 3x −2) − (−2[tex]x^2[/tex] − x + 10)
= 5[tex]x^2[/tex] − 3x − 2 + 2[tex]x^2[/tex] + x - 10
= (5[tex]x^2[/tex] + 2[tex]x^2[/tex]) + ( − 3x + x) + (- 2 - 10)
= 7[tex]x^2[/tex] + ( -2x) + ( - 12)
= 7[tex]x^2[/tex] - 2x - 12
∴ (5[tex]x^2[/tex] − 3x −2) − (−2[tex]x^2[/tex] − x + 10) = = 7[tex]x^2[/tex] - 2x - 12
A jet leaves the Charlotte, North Carolina, airport traveling at an average rate of 564 km/h. Another jet leaves the airport one-half hour later traveling at 744 km/h in the same direction. Use an equation to find how long the second jet will take to overtake the first.
A.
1 17/30 h
B.
2 1/15 h
C.
− 1 17/30 h
Answers
Answer:
[tex]A.\ 1\frac{17}{30}\ hours[/tex]
Step-by-step explanation:
[tex]Let\ second\ jet\ overtake\ first\ in\ x\ hours.\\\\[/tex]
Distance covered by first jet:
[tex]Speed\ of\ first\ jet=564\ km/h\\\\Time=x+\frac{1}{2}\\\\Distance\ covered=speed\times time\\\\Distance\ covered=564\times (x+\frac{1}{2})=564x+564\times \frac{1}{2}\\\\Distance\ covered=564x+282[/tex]
Distance covered by second jet:
[tex]Speed\ of\ second\ jet=744\ km/h\\\\Time=x\\\\Distance\ covered=speed\times time\\\\Distance\ covered=744\times x\\\\Distance\ covered=744x[/tex]
[tex]Distance\ covered\ by\ both\ the\ jet\ in\ x\ hours\ is\ equal.\\\\744x=564x+282\\\\744x-564x=282\\\\180x=282\\\\x=\frac{282}{180}=\frac{6\times 47}{6\times 30}\\\\x=\frac{47}{30}\ hours\\\\x=1\frac{17}{30}\ hours[/tex]
Subtract and simplify. Show work please!
(-2y^2-11y-7)-(-9y^2-5y+10)
Multiply and simplify. Show work please!
(7x-6)(3x^2-4x+5)
Answers
I dont really know but nice a question from last year
URGENT 15 POINTS
Which event has a probability of 1/2? Select two answers.
A.Rolling a number greater than 6 on a six-sided number cube
B.A flipped coin landing on tails
C.A flipped coin landing on heads or tails
D.Picking a blue marble from a bag of 6 red marbles and 4 blue marbles
E.Rolling an odd number on a six-sided number cube
Answers
Answer:
C and e
Step-by-step explanation:
there are two sides and its pretty much completely random on which side it lands on 2 sides = 1/2 probrability for each side and for the dice there are 3 odd numbers and 3 even numbers so thats half and half of the dice therefore 1/2 probrability
It is C and E. It can't be A or D or B.
Round 0.768 to the nearest tenths
Answers
0.768 is closest to 0.77, which is closest to 0.8, so there's your answer.
Round up when the number is higher than 5, or round down when lower than 5
what value of x makes the equation 3(x - 6) - 8x = -2 + 5(2x + 1) true ?
Answers
Answer:
x = -3
Step-by-step explanation:
3(x - 6)= -2 + 5(2x + 1)
= 3x - 18 = -2 + 10x + 5
= -18 = -2 + 7x + 5
= -18 = 7x + 3
= -21 = 7x
= -3 = x
= x = -3
Calculate the surface area of the following triangular prism:
156 cm^2
240 cm^2
0336 cm^2
288 cm^2
Answers
Answer:
S = 2(1/2)(4)(6) + 4(12) + 2(7)(12)
= 24 + 48 + 168
= 240 cm²
What is the solution set of the given equation?
4y - 6y + 9y = -2
{-2/11}
{2/7}
{2/11}
{-2/7}
Answers
What is the solution to the equation?
Answers
Answer:
x= 27
Step-by-step explanation:
Move constant to the right-hand side and change its sign.
[tex]\sqrt{2x+10}[/tex] = 2+6
Add the numbers.
[tex]\sqrt{2x+10}[/tex]= 8
Square both sides of the equation.
2x+10= 64
Move the constant to the right-hand side and change its sign.
2x= 64-10
Subtract the numbers.
2x= 54
Divide both sides of the equation by 2.
x= 27
_/2x+10 = 8
Square both sides
2x + 10 = 64
Subtract 10
2x = 54
Divide two
X = 27
work out the equation of the line which has a gradient of -2 and passes through the point (1,7)
Answers
Answer: [tex]y = -2x + 9[/tex]
Step-by-step explanation:
The formula for finding equation of line given slope and one point is given as :
[tex]y - y_{1} = m ( x - x_{1} )[/tex]
[tex]x_{1}[/tex] = 1
[tex]y_{1}[/tex] = 7
[tex]m = -2[/tex]
substituting the values into the equation , we have :
[tex]y - 7 = -2 ( x - 1 )[/tex]
[tex]y - 7 = -2x +2[/tex]
[tex]y = -2x + 2 + 7[/tex]
[tex]y = -2x + 9[/tex]
Darnell starts the month $952.43 in his checking account. Darnell buys an iPhone 7 for $217.49 with tax included, and two kindle books that each cost $7.99. He pays with his checking account debit card. What is his new balance? The new iPhone 7 is not as awesome as promised, and Darnell returns it. What is his new balance? Explain how returning the phone is like the subtracting a negative number from his balance.
Answers
Answer:
Therefore his new balance=$712.95
Therefore his new balance is =$ 930.44
Step-by-step explanation:
Darnell starts the month $ 952.43 in his checking account.
He buys an iPhone 7 for $ 217.49 with tax included and two kindle books that each $7.99.
The price of two books is =$(7.99× 2)= $ 15.98
Total amount that he paid for iPhone 7 and two books is =$(217.49+15.98)
=$233.47
Therefore his new balance = $(952.43- 233.47)
=$712.95
The new iPhone 7 is not as awesome as promised , and Darnell returns it.
He will get the price of iPhone refund.
Therefore his new balance is $(712.95+217.49)
=$ 930.44
Darnell's new balance after purchases is $718.96. When he returns the iPhone 7, his balance is back to $936.45, as subtracting the negative cost of the iPhone is equivalent to adding its price back to his account.
To find Darnell's new balance after his purchases and subsequent return, we need to perform a few calculations based on the transactions. Darnell starts with $952.43 in his checking account. First, he purchases an iPhone 7 for $217.49 and two Kindle books, each costing $7.99. The total cost for the books is $7.99 x 2 = $15.98. We subtract these amounts from his initial balance:
$952.43 - $217.49 = $734.94
$734.94 - $15.98 = $718.96
Therefore, after the purchases, Darnell's new balance is $718.96.
When Darnell returns the iPhone 7, he gets a refund of $217.49, which is like subtracting a negative number from his balance because subtracting a negative is the same as adding a positive. So:
$718.96 + $217.49 = $936.45
After returning the iPhone 7, Darnell's new balance is $936.45.
Which is the slope of the line that passes through the points (−2,4) and (5,−1)?
Answers
Answer:
-1-4=-5
5+2=7
slope=-5/7
Answer:
slope = -5/7
Step-by-step explanation:
To find probability, divide the number of __________ by the number of trials
Answers
Answer:
To find probability, divide the number of times an event happens by the number of trials.
Answer:
outcome
Step-by-step explanation:
i took the test and i got this anser to the question
Table 1.19 Frequency of Number of Movies Viewed
1. Using the tables, find the percent of data that is at most two. Which table did you use and why?
2. Using the tables, find the percent of data that is at most three. Which table did you use and why?
3. Using the tables, find the percent of data that is more than two. Which table did you use and why?
4. Using the tables, find the percent of data that is more than three.
Answers
To find the percent of data that is at most two or three, locate the corresponding column in the frequency table and divide the frequency by the total number of data points. To find the percent of data that is more than two, subtract the percent at most two from 100.
Explanation:1. To find the percent of data that is at most two, I would look at the table that displays the frequency of the number of movies viewed. I would locate the column that represents 'at most two' and find the corresponding frequency. To calculate the percent, I would divide this frequency by the total number of data points and multiply by 100.
2. To find the percent of data that is at most three, I would use the same procedure as in the previous question, but this time I would find the column representing 'at most three.'
3. To find the percent of data that is more than two, I would subtract the percent of data that is at most two from 100. This is because the percent of data that is at most two includes any data that is less than or equal to two.
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On Saturday sally works 8.25 hours and earns $6.50 an hour. Michelle work 6.75 hours and earns $8.95 an hour. Who earns more? How much more?
Answers
Answer:
Sally y= (8.25)(6.5)= $53.63
Michelle y = (6.75)(8.95)= $60.41
Michelle earns more
60.41-53.63= $6.78
help help help help help
Answers
Answer:
?
Step-by-step explanation:
Amanda works at a store that pays her 5% commission on the total amount of clothes she sells last week she sold $1200 worth of clothes what is the amount of commission Amanda earned last week
Answers
Answer:
$75
Step-by-step explanation:
What is the y-value when x equals -16?
y = -200 - 12(x)
Answers
Answer:
Step-by-step explanation:
y = -200 - 12(x)
x = -16
y = -200 - 12(-16)
y = -200 + 192
y = -8
Answer:
y=-8
Step-by-step explanation:
y=-200-12(-16)
y=-200+192
y=-8
A person’s salary is $2500 per month. She receives a 10% raise. What is her new salary, in dollars per month?
* Write an expression using multiplication.
Answers
Answer:
Her new salary per month is $2750.
Step-by-step explanation:
Given:
A person’s salary is $2500 per month.
She receives a 10% raise.
Now, to find the new salary.
Salary per month = $2500.
She receives raise = 10% of $2500.
Now, to get the new salary:
[tex]2500+10\%\ \times 2500[/tex]
= [tex]2500+\frac{10}{100} \times 2500[/tex]
[tex]=2500+0.10\times 2500[/tex]
[tex]=2500+250[/tex]
[tex]=2750.[/tex]
Hence, the new salary = $2750.
Therefore, her new salary per month is $2750.
The person's new salary, after receiving a 10% raise, is $2750 per month.
Step 1: Calculate the raise amount:
Raise Amount = Original Salary × Raise Percentage
Raise Amount = $2500 × 0.10 = $250
Step 2: Add the raise amount to the original salary:
To determine the new salary, add the raise amount to the original salary.
New Salary = Original Salary + Raise Amount
New Salary = $2500 + $250 = $2750
Therefore, the person's new salary, after receiving a 10% raise, is $2750 per month.
Expression:
New Salary = Original Salary + (Original Salary × Raise Percentage)
New Salary = $2500 + ($2500 × 0.10)
New Salary = $2500 + $250
New Salary = $2750