Answer:
i < 3u
Step-by-step explanation:
For which pair of triangles could the Angle-Side-Angle Postulate (ASA) be used to prove that △ABC≅△XYZ ? I only have an hour pls help.
The pair that support Angle-Side-Angle Postulate (ASA) be used to prove that △ABC≅△XYZ is option B
What are congruent triangles?Triangles are said to be congruent when the sides and angles equal in accordance to to the triangle congruency rules
examples of these rules are
Angle - Side - Angle = ASASide - Side - Side = SSSSide - Angle - Side = SASAngle - Angle - Side = AASHypotenuse and one leg = HLThe problem requires the prove by Angle - Side- Angle = ASA to ensure that the the triangles are congruent
The Angle - Side - Angle = ASA have it that the two triangles being compared should have their two angles and the included side being equal
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Find the area of the polygon 2cm 2cm 3cm in square centimeters
Answer:
12sq cm
Step-by-step explanation:
For Area, we do lenth x width x height. Here, the lenth and the width is 2, so we do 2x2 which is 4. Next the height is 3 so we do 4x3 which is 12. There is your answer. Hope it helps!
Angle α lies in quadrant II, and tanα=−12/5. Angle β lies in quadrant IV, and cosβ=35.
What is the exact value of cos(α+β)?
Enter your answer in the box.
Answer:
Step-by-step explanation:
[-5/13] 3/5 +12+13 [-4/5 = - 63/65
F(x) = x5 - 2X* +3x3 - 2x² + 7x-1
Answer:
x5+3x3-2x2-2x+7x-1
Step-by-step explanation:
x5+3x3-2x2-2x+7x-1
Quadrilateral ABCD is a square and the length of BD¯¯¯¯¯ is 10 cm.
What is the length of AE¯¯¯¯¯ ?
Enter your answer in the box.
the length of AE¯¯¯¯¯ =
cm
The length of AE¯¯¯¯¯ is 5√2 cm.
Since quadrilateral ABCD is a square, all four sides are congruent. Let's denote the length of one side as s. Therefore, the length of BD¯¯¯¯¯ is equal to s.
Given that the length of BD¯¯¯¯¯ is 10 cm, we can conclude that s = 10 cm.
Now, we need to find the length of AE¯¯¯¯¯. Looking at the square, AE¯¯¯¯¯ is the diagonal connecting opposite corners.
In a square, the diagonal divides the square into two congruent right triangles. We can use the Pythagorean theorem to find the length of the diagonal.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, the diagonal (the hypotenuse) is the same as the side length, s.
Applying the Pythagorean theorem:
s^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2
10^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2
100 = 2 * AE¯¯¯¯¯^2
AE¯¯¯¯¯^2 = 50
Taking the square root of both sides:
AE¯¯¯¯¯ = √50
Simplifying the square root:
AE¯¯¯¯¯ = √(25 * 2) = 5√2 cm
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6. Assessment Practice For which
addition equations can you make a 10
to add? Choose two that apply. 1.NSO.2.4
24 + 14 = ?
0 7+25=
076+3 =
26 + 14 =
?
?
?
The sums are 38,32,79,40
What is the BODMAS rule?According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.
Given here: The addition of two numbers
When adding, always line up the addends, the two numbers being combined, one on top of each other according to their place values. Add the numbers in the ones column first, then the tens column, and finally the hundreds column, to get the sum, or the total.
1) 24+14=38
2) 7+25=32
3)76+3=79
4)26+14=40
Thus the sums of the respective equations gives 38,32,79,40 respectively
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three sides of triangle is x cm y cm z cm its perimeter and semi perimeter
Answer:
Step-by-step explanation:
Perimeter:
\(P=(x+y+z) \ cm\)
Semi-perimeter:
\(SP=\frac{1}{2} (x+y+z) \ cm\)
helppppppppppppppppppppppppppp
solve for the indicated variable in the literal equation
Answer:
\(x = \frac{y}{3} - \frac{5}{3}\)
Step-by-step explanation:
Given
\(y = 5 + 3x\)
Required
Solve for x
Subtract 5 from both sides
\(y-5 = 5 -5+ 3x\)
\(y-5 = 3x\)
Divide through by 3
\(\frac{y}{3} - \frac{5}{3} = x\)
\(x = \frac{y}{3} - \frac{5}{3}\)
Angle ADB and CD are straight lines. angle ADC = 5 x angle CDB Work out the size of angle ADC.
Answer:
Step-by-step explanation:
could someone help me with this and show work?
The volume of the shape is 490cm³
What is volume of prisms?A prism is a solid shape that is bound on all its sides by plane faces. prism is named after the shape of these bases.
The base of this prism is rectangular. The volume of a prism is expressed as;
V = base area × height
base area = 7 × 10 = 70cm²
height = 7cm
the volume of the shape = 70× 7 = 490cm²
therefore the volume of the shape is 490cm³.
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What is the Quotient of 7^5/7^2
Based on the information provided, it can be concluded that the quotient 7^5/7^2 is 7^3
What are the indices?Indices are the power or exponent which is raised to a number or a variable. This means the indices are used to indicate how many times the number has been multiplied by itself.
How to determine the quotient in this case?By using the law of division which is when dividing indices with the same base, subtract the powers. This process is shown below:
a^m / a^n = a^m-n
So, 7^5/7^2= 7^5 - 2= 7^3
According to the above, the correct quotient of 7^5/7^2 is 7^3
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9. A has some amount of money with him. He gave one half of one third from that amount One half of the amount received by B is 20. What is the amount that A originally had?
Using the expression 5x/12 = 20, the amount that A originally had was $48.
We have,
Let x be the amount of money that A originally had.
Then, A gave away 1/2 x 1/3 = 1/6 of the amount, which is equal to x/6.
The amount received by B is 1/2 of the remaining amount,
which is (x - x/6)/2 = 5x/12.
We know that 5x/12 = 20,
Solving for x.
5x/12 = 20
5x = 240
x = 48
Therefore,
The amount that A originally had was $48.
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Bennett Griffin and Chula Garza organized Cole Valley Book Store as a corporation; each contributed $71,500 cash to start the business and received 5,600 shares of common stock. The store completed its first year of operations on December 31, current year. On that date, the following financial items for the year were determined: December 31, current year, cash on hand and in the bank, $69,250; December 31, current year, amounts due from customers from sales of books, $43,500; unused portion of store and office equipment, $72,500; December 31, current year, amounts owed to publishers for books purchased, $12,400; one-year note payable to a local bank for $3,200. No dividends were declared or paid to the stockholders during the year.
Required:
Complete the following balance sheet as of the end of the current year. Some information has been given below.
What was the amount of net income for the year? (Hint: Use the retained earnings equation [Beginning Retained Earnings + Net Income − Dividends = Ending Retained Earnings] to solve for net income.)
he net income for the year is $16,550.
Calculation of the net income for the year:Retained earnings equation is:Beginning Retained Earnings + Net Income − Dividends = Ending Retained EarningsWhere, Beginning Retained Earnings = $0 (not given)Ending Retained Earnings = $16,550 (calculated from balance sheet)Dividends = $0 (not given)
Therefore,Net Income = Ending Retained Earnings - Beginning Retained Earnings + Dividends= $16,550 - $0 + $0= $16,550 Balance Sheet of Cole Valley Book Store as of December 31, current year:Current assets Cash on hand and in bank = $69,250 Amounts due from customers from sales of books = $43,500 Total current assets = $112,750 Property, plant, and equipment Unused portion of store and office equipment = $72,500
Total assets = $185,250Liabilities Amounts owed to publishers for books purchased = $12,400 One-year note payable to a local bank = $3,200 Total liabilities = $15,600 Stock holders' Equity Common stock, 5,600 shares at $71,500 = $400,400 Retained earnings, beginning = $0Net income = $16,550 Retained earnings, ending = $16,550 Total stockholders' equity = $416,950Total liabilities and stockholders' equity = $185,250 + $15,600 + $416,950= $617,800
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How much would you need to deposit in an account now in order to have $5,000.00 in the account in 697 days?
Assume the account earns 5% simple interest.
You would need to deposit _____ in your account now.
Step-by-step explanation:
To find out how much you need to deposit in an account now to have a certain amount after a certain number of days, you can use the formula:
P = F / (1 + r * t)
where:
P is the present value or the amount you need to deposit now.
F is the future value or the amount you want to have in the account after a certain number of days.
r is the annual interest rate, expressed as a decimal.
t is the number of years for which the money will be invested.
In this case, you want to have $5,000 in the account in 697 days, which is equivalent to 697 / 365 = 1.91 years. The annual interest rate is 0.0375. Plugging these values into the formula, we get:
P = 5000 / (1 + 0.0375 * 1.91)
Solving this equation, we find that you would need to deposit $4,921.15 in your account now to have $5,000 in the account in 697 days.
Write a decimal equivalent to the nearest hundredth. Put a zero before the decimal point.
2/9 = ____
Answer: 2/9 = 0.22
Step-by-step explanation: This is rounded to the nearest hundredth which is in the 2nd place after the decimal point.
I NEED HELP WITH THIS QUESTION MATHE HOMEWORK HELP
Answer:
oh.. dang.. u on ur own
Step-by-step explanation:
2789 divided by 36 what is the remainder
I will provide a picture with the questions for this problem. Please note that this is a lengthy problem and is relatively complex or so I’ve been told
1) Albert
To determine the balance of Albert's $2000 after 10 years you have to calculate the ending balance of each investment he did and then add them together.
a) $1000 earned 1.2% annual interest compounded monthly.
To determine the final balance after 10 years you have to apply the following formula:
\(A=P(1+\frac{r}{n})^{nt}\)Where
A is the accrued amount (initial + interest)
P is the principal/ initial amount
r is the interest rate, expressed as a decimal value
n is the number of compounding periods per year
t is the number of years
For this investment:
P= $1000
r=0.012
n= 12 → the interest is compounded monthly, there are 12 months in a year, so there are 12 compound periods per year.
t=10 years
\(\begin{gathered} A=1000(1+\frac{0.012}{12})^{12\cdot10} \\ A=1000(1+0.001)^{120} \\ A=1000(1.001)^{120} \\ A=1127.429 \end{gathered}\)After 10 years, the final balance for this investment will be $1127.43
b) $500 lost 2% over the course of the 10 years
This investment lost 2% over the 10 years, to determine how much was lost you have to calculate the 2% of 500:
\(500\cdot0.02=10\)Then subtract the calculated amount from the initial investment to determine the final balance:
\(500-10=490\)After 10 years, the final balance for this investment will be $490
c) $500 grew compounded continuously at a rate of 0.8% annually
To calculate the accrued amount for an account that compounds continuously you have to apply the following formula:
\(A=Pe^{rt}\)Where
A is the accrued amount
P is the principal amount
r is the interest rate expressed as a decimal value
t is the time in years
e is the natural number
For this investment:
P=$500
r=0.8/100=0.008
t=10
\(\begin{gathered} A=500\cdot e^{0.008\cdot10} \\ A=500\cdot e^{0.08} \\ A=541.643 \end{gathered}\)After 10 years the final balance will be $541.64
d) Add the three results to determine the total balance of Albert's $2000 after the 10 years:
\(1127.43+490+541.64=2159.07\)Albert's balance after 10 years will be $2159.07
2) Marie
a) $1500 earned 1.4% annual interest compounded quarterly
To determine the final balance of this investment after 10 years you have to use the same formula as in the first part of the previous question:
\(A=P(1+\frac{r}{n})^{nt}\)For this investment:
P= $1500
r= 1.4/100=0.014
n=4 → the account compounds quarterly, which means once every 3 months, there are 4 quarters per month.
t=10 years
\(\begin{gathered} A=1500(1+\frac{0.014}{4})^{4\cdot10} \\ A=1500(1+0.0035)^{40} \\ A=1500(1.0035)^{40} \\ A=1724.989\approx1724.99 \end{gathered}\)The final balance for this investment is $1724.99
b) $500 gained 4% over the course of 10 years.
To determine how much was won over the 10 year period you have to calculate the 4% of 500
\(500\cdot0.04=20\)Add this amount to the initial investment to determine the final balance:
\(500+20=520\)The final balance for this investment is $520
c) Add both results to determine the final balance of the investment after 10 years:
\(1724.99+520=2244.99\)Marie's balance after 10 years will be $2244.99
3) Hans
$2000 grew compounded continuously at a rate of 0.9% annually.
The account compounds continuously, so to calculate the final balance you have to use the formula:
\(A=P\cdot e^{rt}\)For this investment
P= $2000
r=0.9/100=0.009
t=10
\(\begin{gathered} A=2000\cdot e^{0.009\cdot10} \\ A=2000\cdot e^{0.09} \\ A=2188.348\approx2188.35 \end{gathered}\)Hans's balance after 10 years will be $2188.35.
4) Max
a) $1000 decreased in value exponentially at a rate of 0.5% annually
To determine the final balance of this investment you can determine an exponential decrease:
\(A=P(1-r)^t\)A corresponds to the accrued amount
P is the principal amount
r is the decrease rate, expressed as a decimal value
t is the time in years
For this investment
P=$1000
r=0.5/100=0.005
t=10 years
\(\begin{gathered} A=1000(1-0.005)^{10} \\ A=1000(0.995)^{10} \\ A=951.11 \end{gathered}\)The balance after 10 years will be $951.11
b) $1000 earned 1.8% annual interest compounded biannually
For this part, use the formula:
\(A=P(1+\frac{r}{n})^{nt}\)For this investment
P=$1000
r=1.8/100=0.018
n=2 → the account compounds annually, there are two compounding periods per year.
t=10 years
\(\begin{gathered} A=1000(1+\frac{0.018}{2})^{2\cdot10} \\ A=1000(1.009)^{20} \\ A=1196.25 \end{gathered}\)The balance after 10 years will be $1196.25
c) Add both results to determine the final balance after 100 years:
\(951.11+1196.25=2147.36\)Max's balance after 10 years will be $2147.36
5) Finally, to determine who will win the $10000 after 10 years, you have to compare the results of all previous calculations:
Albert: $2159.07
Marie: $2244.99
Hans: $2188.35.
Max: $2147.36
As you can see Marie made the most after the 10 years, so she will receive the $10,000
The top of a coin has a radius of 2 cm.
What is the area of the top of the coin?
4π cm²
2π cm²
4 cm²
2 cm²
Answer:
I think is 2cm if I’m wrong plz correct me
Step-by-step explanation:
I’m guessing so no work
plz help I will mark brainlest!
Answer: hmmmmm
Step-by-step explanation:
It’s a b or c and maybe just maybe b
Find the value of x in the equation below. 60 = 10 x
Answer:
Just do 60 divided by 10
Step-by-step explanation:
60=10 x 10 times 6 = 60 so x=6
Answer: \(x=6\)
Divide both sides by 10
\(10x=10=60/10\\x=6\)
Two fractions between 2 and 2 1/2
Answer:
2 2/5 and 2 2/100
Step-by-step explanation:
The answers range in many ways! Whatever floats your boat to pick!
Hope this helped! :)
what is the property of 3x(5x7)=(3x5)7
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
PLEASE HELP ME ON QUESTION ASAP!!
IF YOU HAVE A TOPIC LIST IN YOUR EXAMS AND IT SAYS AVERAGES AND THE RANGE ARE YOU GOING TO BE HAVING MEAN AND RANGE IN YOUR TEST OR MEAN, RANGE MODE, MIDPOINT BASICALLY ALL OF IT ? IF ANSWERS CORRECT ILL RATE YOU FIVE STARS, GIVE YOU A THANKS AND MAYBE EVEN BRAINLIEST (sorry for caps)
Answer:
Step-by-step explanation:
Typically yes you need to know
Mean
Median
Mode
and Range
Mean = average, add all numbers then divide by how many
Median = midpoint, middle number. Be sure to list numbers from small to large if there are 2 middle numbers (this happens when there are an even amount), take the average of the 2 middle numbers
Mode = numbers that occurs the most in the list of numbers
Range = This is the largest number minus the smallest number.
Aircraft A has 105 more seats than aircraft B. If their total number of seats is 519, find the number of seats for each aircraft.
Aircraft A has how many seats?
Aircraft A has 312 seats.
Let's assume that Aircraft B has x seats.
According to the given information, Aircraft A has 105 more seats than Aircraft B. So, the number of seats in Aircraft A can be expressed as x + 105.
The total number of seats in both aircraft is 519, which can be represented by the equation:
x + (x + 105) = 519
Simplifying this equation, we have:
2x + 105 = 519
Subtracting 105 from both sides, we get:
2x = 414
Dividing both sides by 2, we find:
x = 207
Therefore, Aircraft B has 207 seats.
To find the number of seats in Aircraft A, we substitute the value of x back into the expression x + 105:
Aircraft A = 207 + 105 = 312
Hence, Aircraft A has 312 seats.
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Fine the slope of the line that passes through the given point (-1,9) and (2,8)
Step-by-step explanation:
please mark me as brainlest
Caculate.
2 1/4÷(3/8÷1/2)
let's firstly convert the mixed fraction to improper fraction and proceed from there.
\(\stackrel{mixed}{2\frac{1}{4}}\implies \cfrac{2\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{9}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{9}{4}\div \left(\cfrac{3}{8}\div \cfrac{1}{2} \right)\implies \cfrac{9}{4}\div \left(\cfrac{3}{8}\cdot \cfrac{2}{1} \right)\implies \cfrac{9}{4}\div \left(\cfrac{3}{4} \right) \\\\\\ \cfrac{9}{4}\cdot \left(\cfrac{4}{3} \right)\implies \cfrac{9}{3}\cdot \cfrac{4}{4}\implies 3\cdot 1\implies \text{\LARGE 3}\)
ade A.7 Add and subtract whole numbers: word problems A67
D) Last month, the local grocery store sold 52 cans of cherry soda, 194 cans of orange
soda, and 76 cans of grape soda. How many cans of soda did the grocery store sell in all?
(1)
Submit
cans of soda
322 cans of soda were sold by the grocery store in all.\
Concept: Addition is one of the four basic operations of arithmetic, the other three being subtraction, multiplication and division. The addition of two whole numbers results in the total amount or sum of those values combined.
Given: 52 cans of cherry soda, 194 cans of orange soda, and 76 cans of grape soda.
The total no. of total soda cans sold by the local grocery store is 52+194+76 = 322
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Molly used 192 beads to make a necklace AND a bracelet. It takes 5 times as many beads to make a necklace as it does a bracelet. How many beads are used to make the necklace?
Examining the word problem we can say that, Molly used 160 beads to make the necklace.
How to find the number of beadsLet's assume the number of beads used to make the bracelet is x.
We also know that Molly used a total of 192 beads for both the necklace and the bracelet. and It takes 5 times as many beads to make a necklace as it does a bracelet, So,
x + 5x = 192
6x = 192
solve for x
x = 192 / 6
x = 32
Molly used 32 beads to make the bracelet.
number of beads used to make the necklace
Number of beads used for the necklace = 5 * 32
Number of beads used for the necklace = 160
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