If a line segment joins the midpoints of two sides of a triangle, then it is parallel to the third side and half of the third side.
The midpoint theorem states that if a line segment is drawn joining the midpoint of two sides of a triangle, then that line segment is parallel to the third side of the triangle, and the line segment is half of the length of the third side of the triangle.
Therefore, the given statement can be filled in as follows:If a line segment joins the midpoints of two sides of a triangle, then it is parallel to the third side and half of the third side.
Answer: parallel, half
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which one is the greatest 5/6 or 7/8 or 3/4
Answer:
im pretty sure its 7/8
Step-by-step explanation:
Answer:
It might be 7/8
Step-by-step explanation:
first which one would be greater
3/4 or 5/6 =? once you get you answer which one is greater?
5/6 or 7/8? so the answer will be .... 7/8
PLEASE HURRYY!!
Which sequence of transformations maps Trapezoid WXYZ onto Trapezoid W′X′Y′Z′ ?
A. Dillation by a factor of 2 about the origin and a translation 1 unit down
B. Dilation by a factor of 1/2 about the origin and a translation 1 unit up
C. Dilation by a factor of 2 about the origin and a translation 1 unit up
D. Dilation by a factor of 1/2 about the origin and a translation 1 unit down
Answer:
Step-by-step explanation: i think the answer is A
1
Name segment AB.
1.
B
A Angle Bisector
B Perpendicular Bisector
C Median
D Altitude
E Midsegment
Answer:
Median
Step-by-step explanation:
Because it divides line B into a prefect section
find the slope of a line parallel to each given line y = -5/3x
Answer:
Slope = -5/3
Step-by-step explanation:
Parallel lines have the same slope, so the slope will be -5/3.
Hope this helps!!
Answer:
-5/3x
Step-by-step explanation:
its the same slope
URGENT WILL MARK BRAINLIEST
Show your work and solve for x and y.
3x + y = 8
2x + 4y = 12
Answer:
x=2, y=2
Step-by-step explanation:
3x + y = 8
2x + 4y = 12
Multiply the first equation by -4
-12x -4y = -32
Then add to the second equation
-12x -4y = -32
2x + 4y = 12
------------------------
-10x + 0y = -20
-10x = -20
Divide by -10
-10x/-10 = -20/-10
x =2
Now find y
3x+y = 8
3(2)+y = 8
6+y = 8
y = 8-6
y =2
Answer:
\(\huge\boxed{\sf Solution Set = \{(2,2)\}}\)
Step-by-step explanation:
3x + y = 8 ----------------------(1)
2x + 4y = 12 -------------------(2)
Multiply Eq. (1) by 4
4(3x+y) = 8*4
12x + 4y = 32 -----------------(3)
Subtract Eq. (3) from (2)
2x + 4y - (12x + 4y) = 12 - 32
2x + 4y - 12x - 4y = -20
2x - 12x = -20
-10x = -20
Divide both sides by -10
x = 2
Put x = 2 in Eq. (1)
3(2) + y = 8
6 + y = 8
Subtract 6 to both sides
y = 8 - 6
y = 2
Solution Set = {(x,y)} = {(2,2)}
\(\rule[225]{225}{2}\)
Hope this helped!
~AH1807Peace!2.Sierra buys a pack of candy that was on sale for 40 % off , the original price of the candy was 10 dollars . What is the new cost ?
Given :
The original price of the candy = $10
What is the formula to find the units?
A unit rate's component is always 1. To find the unit rate, divide the fraction by the fraction such that the denominator is equal to one.
The meaning of math units:
Of mathematics, a unit can be thought of as the right side point in a number or the number one. In this instance, the unit number in the number 6713 is 3. A unit is also a term that may be used to describe the common measurement units.
The dimensions of a unit:
The area of a unit as depicted on the subdivision or annexation map that created the unit is referred to as its size. The lot, tract, or parcel size divided by the number of dwellings is the unit size for two-family and multiple-family homes on a single unit.
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I found a pair of Vans at the mall last week. They were normally priced at $45, but were on sale for 60% of the original price. How much do they cost now?
Answer:
18
Step-by-step explanation:
60% of 45 is 27
So 45-27 = 18
Answer:
$27.
Step-by-step explanation:
To find the percentage of something, simply multiply the value by the percentage ÷ 100:
60% = 60 ÷ 100 = 0.6
0.6 * 45 = 27
So they now cost $27.
Hope this helps!
Find each missing measure
Benny's arcade has five video game machines. The average time between failures (i.e. the average time between jobs) is 34 hours. The maintenance engineer can repair a machine in about 13 hours. Assume the failure time and repair times are both exponentially distributed. What is the average time in HOURS from when a machine breaks until it is fixed?
The average time in hours from when a machine breaks until it is fixed is approximately 11.3 hours.
Given,
Benny's arcade has five video game machines
The average time between failures = 34 hours
The maintenance engineer can repair a machine in about = 13 hours
The failure time and repair times are both exponentially distributed
The formula for the mean of an exponential distribution is mean = 1/λ where λ is the rate parameter of the distribution.
In this problem, the rate parameter of both the failure time and repair time is the reciprocal of their respective averages. Therefore,
λ_f = 1/34λ_r = 1/13
Now, let's find the average time from when a machine breaks until it is fixed using the fact that the sum of two independent exponential distributions with rate parameters λ1 and λ2 is itself an exponential distribution with rate parameter λ1+λ2.
So, the rate parameter for the time from when a machine breaks until it is fixed is λ_f+λ_r = 1/34+1/13
= 0.0885 hours⁻¹ (approximately)
Hence, the average time from when a machine breaks until it is fixed is mean = 1/λ= 1/0.0885 ≈ 11.3 hours (approximately).
Therefore, the average time in hours from when a machine breaks until it is fixed is approximately 11.3 hours.
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You basically look at the bar graph on the right and see which statement is true. Brainliest and thank you!
Answer:
d. if graphed, the ordered pairs would form a straight line.
Arnold Brown has a Visa Card with an annual percentage rate of 18.0%. The unpaid balance for his June billingcycle is $1,085.36. During the billing cycle he purchased a printer cartridge for $41.96, books for $244.36 andgasoline for $16.97. He made a payment of $1,200. If the account applies the unpaid balance method, what arethe finance charge and the new balance?The finance charge is $ The new balance is $(Round to the nearest cent as needed.)
Here is what we know:
The initial unpaid balance was $1085.36
During the billing cycle, be purchased a total of $41.96 + $244.36 + $16.97 = $303.29 in goods
He maid a payment of $1200
Then, since the annual percentage rate is 18.0%, the finance charge is given by:
\(1085.36\cdot\frac{0.18}{12}=\text{ \$16.28}\)Then, the new balance is:
\(1085.36+303.29+16.28-1200=\text{ \$}204.93\)Answer:
The new finance charge is $16.28
The new balance is $204.93
help me please!!( 30 POINTS IF ANSWERED!!)
Answer:
Step-by-step explanation:
b
Helloo
Nabeel travelled to London by train, her journey was made up of two parts.
One train into York and then another train into London.
The first train departed at 07:05 and the journey lasted for 12 minutes.
The second train departed at 07:27 and the journey lasted for 122 minutes.
The total distance travelled was 197 miles.
What was Nabeela's average speed for the entire journey?
Answer:
1.47 miles/min (to 3sf)
Step-by-step explanation:
Total amount of time taken for both parts of the journey
= 12 minutes + 122 minutes
= 134 minutes
Average speed for the entire journey = 197 miles ÷ 134 minutes
= 1.47 miles/min (to 3sf)
For every two-dimensional set C contained in R^2 for which the integral exists, let Q(C)=∬c(x^2+y^2dxdy)
If C1={(x,y) : −1 ≤ x ≤ 1, −1 ≤ y ≤ 1} C2 ={(x,y):−1≤x≤1,−1≤y≤1} and C3 = {(x,y):x^2 + y^2 ≤1}, find Q (C1), Q(C2), Q (C3)
The values of Q(C1), Q(C2), and Q(C3) are 4, 4, and π, respectively.
The concept of the integral is a fundamental part of calculus and it is used to calculate the area under a curve or the volume of a 3-dimensional object. In this context, we will be exploring the integral of a two-dimensional set in the R^2 plane.
For every two-dimensional set C contained in R^2 for which the integral exists, the function Q(C) is defined as the double integral of the function (x^2 + y^2) over the set C. The double integral is a mathematical tool for finding the total volume under a surface.
Let's consider the three sets C1, C2, and C3 and find Q(C1), Q(C2), and Q(C3).
C1={(x,y) : −1 ≤ x ≤ 1, −1 ≤ y ≤ 1}
Q(C1) = ∬C1 (x^2 + y^2) dxdy = ∫^1_{-1}∫^1_{-1} (x^2 + y^2) dxdy = ∫^1_{-1} [(x^2 + y^2)/2]^1_{-1} dx = 4.
C2 ={(x,y):−1≤x≤1,−1≤y≤1}
Q(C2) = Q(C1) = 4.
C3 = {(x,y):x^2 + y^2 ≤1}
Q(C3) = ∬C3 (x^2 + y^2) dxdy = π.
In conclusion, the values of Q(C1), Q(C2), and Q(C3) are 4, 4, and π, respectively.
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find the coordinate matrix of x in rn relative to the standard basis. x = (7, −6)
To find the coordinate matrix of x in Rn relative to the standard basis, we need to express x as a linear combination of the standard basis vectors. In R2, the standard basis vectors are e1 = (1,0) and e2 = (0,1).
We can write x as:
x = 7(1,0) - 6(0,1)
This means that the coordinate matrix of x in R2 relative to the standard basis is:
[x] = [7 -6]
Note that the first column corresponds to the coordinate of x with respect to e1, and the second column corresponds to the coordinate of x with respect to e2.
To find the coordinate matrix of the vector x in R^n relative to the standard basis, you simply need to represent the vector x as a column matrix using its given components. In this case, x = (7, -6), so the coordinate matrix of x relative to the standard basis is:
[ 7 ]
[ -6 ]
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Question 31 of 41
What is the name of the Platonic solid shown below?
OA. Icosahedron
OB. Octahedron
OC. Hexahedron
OD. Tetrahedron
The name of the Platonic solid shown is D. Tetrahedron
How to determine the name of the Platonic solidFrom the question, we have the following parameters that can be used in our computation:
The Platonic solid
In the solid, we can see that there are
Four triangular facesSix straight edgesFour vertex cornersThe Platonic solid that has this property is the Tetrahedron
Hence, the name of the Platonic solid shown is D. Tetrahedron
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Questions 154020 refer to tho following example. Red Dawi, a specialist widgot retailer started business on 1 tarkuary 2121 . In the first, year, bie businass made the following trantactions. 1. The owners plinoed 550.000 of their own funds irlo the business bank acoount. 2. The thusiness used the bank acoount to buy shon fatures and fation whith cost £16,000. 3. The business used the bank account to buy new impensory for E10,000. 4. The business bought further inventory of £9,000 on credit. 5. The shop soid 28,000 of its inwentory for Σ4,000 to customers throught the shop for cas?. 6. Also, the business eold goods that cost R6.,000 to another business for E8,000 on credt 7. The business paid 89,000 in ren from the bank accoint. This covered the 18 months to 30 dune 2022 B. The builnoss caloulated depreciation on tne straight-fine method at 10 per cent per annum, 9. Although the bel had not been received, the ownem ostimated that the electicity would be f.2, 000 for the year, 10. The omners withdrew E0.000 in cash for the own une Question 17: Wrat is the net profit for the year ording 31 Deconter 2021? a. - f3,100 b. −51,600 c.
E500
d E1,500
The net profit for the year ending December 31, 2021, is £1,000. Therefore, the correct answer is d) £1,000.
To determine the net profit for the year ending December 31, 2021, we need to calculate the total revenue and subtract the total expenses. Let's analyze the transactions provided:
The owners invested £550,000 of their own funds into the business bank account. This does not affect the net profit as it represents an owner's contribution of capital.
The business used £16,000 from the bank account to purchase short features and fashion. This expense reduces the net profit.
The business used £10,000 from the bank account to buy new inventory. This expense also reduces the net profit.
The business bought additional inventory worth £9,000 on credit. This is not an expense for the current year as it represents an increase in assets.
The shop sold £28,000 worth of inventory to customers for cash. This revenue increases the net profit.
The business sold goods costing £6,000 to another business on credit for £8,000. This revenue also increases the net profit.
The business paid £9,000 in rent from the bank account. This expense reduces the net profit.
Depreciation and estimated electricity expenses are not mentioned in the given transactions and cannot be calculated.
The owners withdrew £10,000 in cash for personal use. This is not an expense for the business and does not affect the net profit.
Based on the provided information, we can calculate the net profit as follows:
Total Revenue = £28,000 (from sales to customers) + £8,000 (from sales to another business) = £36,000
Total Expenses = £16,000 (short features and fashion) + £10,000 (new inventory) + £9,000 (rent) = £35,000
Net Profit = Total Revenue - Total Expenses = £36,000 - £35,000 = £1,000
Therefore, the net profit obtained is £1,000.
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What is the value of √m = ∓ 17
Answer:
What is the value of √m = ∓ 17
The value of √m = ∓ 17 is undefined.
Janelle is considering two options for saving money. One option earns simple interest while the other option earns interest compounded monthly. If there are no additional deposits or withdraws, how much more will Janelle earn with the compound interest option? Assume Janelle deposits $3,000 at 3% interest for 7 years for both options
Janelle will earn approximately 729.19 more with the compound interest option compared to the simple interest option over a period of 7 years.
The amount Janelle will earn with the compound interest option can be calculated using the formula for compound interest:
\(A = P(1 + r/n)^{(nt)}\)
Where:
A is the total amount after interest has been compounded
P is the principal amount (the initial deposit)
r is the annual interest rate (expressed as a decimal)
n is the number of times interest is compounded per year
t is the number of years
In this case, Janelle deposits 3,000 at an interest rate of 3% for 7 years. We'll compare the simple interest and compound interest options.
For the simple interest option, the interest is calculated using the formula:
I = P * r * t
Where:
I is the total interest earned
Using the given values, we can calculate the interest earned with simple interest:
I = 3000 * 0.03 * 7
I = 630
Now, let's calculate the total amount earned with the compound interest option.
Since the interest is compounded monthly, the interest rate needs to be divided by 12 and the number of years needs to be multiplied by 12:
r = 0.03/12
t = 7 * 12
Using these values, we can calculate the total amount with compound interest:
\(A = 3000 * (1 + 0.03/12)^{(7*12)}\)
A ≈ 3,729.19
To find out how much more Janelle will earn with the compound interest option, we subtract the initial deposit from the total amount with compound interest:
Difference = A - P
Difference = 3,729.19 - 3,000
Difference ≈ 729.19
Therefore, Janelle will earn approximately 729.19 more with the compound interest option compared to the simple interest option over a period of 7 years.
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Rectangle MNOP has diagonals NP and MO. Determine the length of NP if NP = 7x - 4 and MO = 3x + 19.
Answer:
Give me heart and 5 stars I don’t need your smile
Step-by-step explanation:
Answer:
..... 36.25 ...
please mark brainliest
Step-by-step explanation:
diagonals have the same length
so:
NP=MO
7x-4=3x+19
4x=23
x=5.75
then we put 5.75 as the va.lue of x:
7(5.75)-4= 36.25
Plzzzz help will mark BRAINLYLIST!!!!!!!
Answer:
6
Step-by-step explanation:
If you follow the angle once you reflect you get one angle with a length of 4 and one with 3Multiply to get 12Multiply by 1/2 since it's a triangleAnswer:6Similarly, converting between units can be very important, and it can be done by canceling units. For example, suppose that I want to convert 66 feet/second into miles per hour. If I know that there are 5280 feet in a mile, 60 seconds in a minute, and 60 minutes in an hour, then I can convert the quantity by multiplying it by those conversion factors in such a way that they cancel: ( 1 s
66ft )( 1 min60 s )( 1hr 60 min )( 5280ft1 mile )=45mile/hr I can do this because each conversion factor is equal to one, and multiplying by one does not change anything. Notice that if you cancel all the units that you can, you are left with the desired units. The numbers are evaluated with normal arithmetic. Cglints = 1 filn 4 ZCOS=1 strord Now you try, except I'm going to make up some fictional units for you to work with: There are 12 grees in a zool. There are 2 grees in 10 twibbs. There are 5 grees in a blob. There are 6 glints in a filn. There are 4 zools in a strord. 12 grees =1 ZOO 2 grees =10 twibs 5 grees =1 bic (a) Convert the quantity 7 glint/twibb (i.e., 7 glints-per-twibb) into filn/strord (i.e., filns-per-strord). As always, show your work. (b) Often we use prefixes for scientific units. For example, there are one-hundred centimeters in a meter. Similarly, the prefix kilo- means a factor of 10
3. For example, a kilometer is 10 3 meters or 1000 meters. If you need to review these prefixes, there is a handy chart on Wikipedia: ht tpa://en.wikipedia.org/wiki/Metric_prefix. Convert your answer from part (a) into megafiln/strord (i.e., megafilns-per-strord). (Hint: Check your answer for plausibility. Should the number of megafilns-per-strord be bigger or smaller than the number of filns-per-strord? If someone is going 1 foot-per-hour, are they going a larger number of feet-per-hour or a larger number of miles-per-hour?)
The number of megafilns-per-strord should be smaller than the number of filns-per-strord since a mega is a conversion factor of 10³ and is greater than 1, hence 1 megafiln is greater than 1 filn.
(a) The given units can be converted as follows: 6 glints = 1 filn...
(1)12 grees = 1 zool...
(2)2 grees = 10 twibbs...
(3)5 grees = 1 bic...
(4)Note that the grees are in both the numerator and denominator of the second unit conversion factor (3). Hence we can cancel out the grees by using it twice in the numerator and denominator. Now using the given conversion factors in equation (1), we get:
7 glint/twibb=7 glint/ (10 grees/2 grees)=14 glint/10 grees=14 glint/ (5 grees/12 grees)=16.8 filn/strord
(b) We need to convert the result of part (a) from filn/strord to megafiln/strord.
1 mega = 106
Thus 1 megafiln = 106 filn
16.8 filn/strord = (16.8 filn/strord) x (1 megafiln/106 filn) = 1.68 x 10-5 megafiln/strord
The number of megafilns-per-strord should be smaller than the number of filns-per-strord since a mega is a factor of 10³ and is greater than 1, hence 1 megafiln is greater than 1 filn. Similarly, going 1 foot-per-hour would mean going a smaller number of feet-per-hour than going 1 mile-per-hour since there are 5280 feet in a mile.
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In the figure below, 7 ||
m. Find x.
Answer:
96
Step-by-step explanation:
a goat is six times as heavy as its kid if their total mass is 70 kg find each of their masses in kg
plzz help i need it fast
Answer:
10kg and 60 kg.
Step-by-step explanation:
Let the kid's mass be x kg, then the goat's mass is 6x.
x + 6x = 70
7x = 70
x = 10.
Find the measure of the missing angle of each
Answer:
? = 120, ? = 145, respectively
Step-by-step explanation:
? + 60 = 180
? (+ 60 - 60) = 180 - 60
? = 120
35 + ? = 180
(35 - 35) + ? = 180 - 35
? = 145
The Spring Break-Inn Hotel is trying to make plans for the spring break season. They must decide on the number of beds to place in each room in order to maximize profit. They can put 1, 2, or 3 beds in any room and realize a profit of $90, $115, or $180 respectively. They have a total of 200 beds and 100 rooms available. They would like to insure the ratio of 3 bedroom rentals to 2 bedroom rentals is no more than 4 to 1.
The decision variables for this model would be:
Let X1 = the number of 1 bedroom rentals
Let X2 = the number of 2 bedroom rentals
Let X3 = the number of 3 bedroom rentals
What would be the constraint(s) to insure the ratio of 3 bedroom rentals to 2 bedroom rentals is no more than 4 to 1?
X3 <= 4X2
3X3 <= 4X2
X2 <= 4X3
2X2 <= 4X3
None of these
The constraint(s) to ensure that the ratio of 3 bedroom rentals to 2 bedroom rentals is no more than 4 to 1 is:
3X3 <= 4X2
This constraint states that the number of 3 bedroom rentals (X3) must be less than or equal to four times the number of 2 bedroom rentals (X2). This ensures that the ratio of 3 bedroom rentals to 2 bedroom rentals does not exceed 4 to 1.
For example, if there are 10 2 bedroom rentals (X2), the constraint would be:
3X3 <= 4(10)
3X3 <= 40
This means that the number of 3 bedroom rentals (X3) cannot exceed 40.
The constraint to ensure the ratio of 3 bedroom rentals to 2 bedroom rentals is no more than 4 to 1 is 3X3 <= 4X2.
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answer this please !!!!!
Please help asap ill give you brainlest
Consider − 196 14. Which THREE statements are correct?
A) The quotient is 14.
B) The quotient is −14.
C) The quotient is − 1 14.
D) −196 14 is equivalent to the expression.
E) 196 −14 is equivalent to the expression.
Answer:
B, E, and D are correct
Step-by-step explanation:
Benjamin is selecting embellishments for a child’s dresser. He picks a wooden embellishment, a ceramic embellishment, and a metal embellishment. What is the probability that he picks a cloud, a dog, and a star?
Answer:
B
Step-by-step explanation:
Here is the complete question :
Benjamin is selecting embellishments for a child’s dresser. There are 9 wooden embellishments, 5 ceramic embellishments, and 8 metal embellishments to choose from, shown in the table below. He picks a wooden embellishment, a ceramic embellishment, and a metal embellishment. What is the probability that he picks one of the clouds, one of the dogs, and one of the stars?
Wooden Embellishments Ceramic Embellishments Metal Embellishments
2 hearts 2 cats 3 stars
3 clouds 3 dogs 5 squares
4 birds
A.1/27
B. 3/40
C. 1/9
D.3/8