Find the midpoint of each side of the trapezoid. Connect the midpoints. What is the most precise classification of the quadrilateral formed by connecting the midpoints of the sides of the trapezoid?
(photo)
Answers
M ( - 1 , 1 ), N ( 1, - 1 ), P ( 3, 1 ), Q ( 1, 3 ).
MN = NP = PQ = QM = √ ( 2² + 2² ) = √ 8 = 2√2
∠MNP = ∠NPQ = ∠PQM = ∠QMN = 90°
Answer:
The quadrilateral formed by joining the midpoints of the sides of the trapezoid is a square.
Related Questions
What is 36000 divided by 11 using long division
Answers
11÷36000
33
30
22
80
77
30
22
Two similar polygons have areas of 50 and 100 sq. in. Find the ratio of the length of a pair of corresponding sides.
Answers
50/100 = (x1)^2 / (x2)^2
1/2 = (x1)^2 / (x2)^2
x1 : x2 = 1 : √2
^2 means squared
Answer:
the answer is square root 2/ 2
Step-by-step explanation:
Work out the area of a triangle with a height of 6m and a base length of 14m
Answers
Base = 14m
Height = 6m
(14m x 6m)/2 = (84m^2) / 2 = 42m^2
Here, b = 14
h = 6
Substitute their values in expression,
Area = 1/2 * 14 * 6
Area = 1/2 * 84
Area = 42 m²
So, your final answer is 42 m²
Hope this helps!
Liam has purchased a fee-for-service health insurance plan from Leroux Health Insurance. Plan A includes a $248.00 monthly premium and an annual deductible of $5,500.00 (not including co-pays).
Liam is a fairly healthy young man. He visits his primary care physician three times a year on scheduled visits. He sees a chiropractic specialist every week to help with lower back pain. He has no current prescriptions that need refilling regularly.
Assuming Liam maintains his regular visits with his primary care physician and his chiropractor, and avoids any trips to the emergency room or urgent care, how much will Liam pay in health care related fees this year?
Answers
Answer: D | $6,216.00
Step-by-step explanation:
Evaluate the expression when y = 4. 5 + y + 8
Answers
A company manufacturers and sells x electric drills per month. The monthly cost and price-demand equations are
C(x)=64000+60x, p=190−x/30, 0≤x≤5000.
a) production level at max revenue = 2850
b) price to max profit = $125
c) Suppose that a 5 dollar per drill tax is imposed. Determine the number of drills that should be produced and sold in order to maximize profit under these new circumstances. ???
Answers
Revenue x * p = 220x - x^2/30
d/dx = 220 * 15 = 3300
B.
Profit = Revenue - Cost
= 220x - x^2/30 - 72000 - 80x
d/dx = 220 - x/15 - 80 = 0
x = 15 * 140 = 2100
p = 220 - 2100/30 = 220 - 70 = $150
C.
With $5 tax the price-demand equation should be
p = 220 - x/30 + 5
Profit = 225x - x^2/30 - 72000 - 80x
d/dx = 225 - x/15 - 80 = 0
x = 15 * 145 = 2175
A shopper purchased 8 T-shirts and 5 pairs of pants for $220. The next day he purchased 5 T-shirts and 1 pair of pants for $112. How much does each T-shirt and each pair of pants cost?
Answers
5t + p = 112....multiply by -5
----------------
8t + 5p = 220
-25t - 5p = - 560 (results of multiplying by -5)
---------------add
- 17t = - 340
t = 340/17
t = 20 <== each tee shirt costs $ 20
8t + 5p = 220
8(20) + 5p = 220
160 + 5p = 220
5p = 220 - 160
5p = 60
p = 60/5
p = 12 <== each pair of pants cost $ 12
By setting up a system of linear equations based on the shopper's purchases and solving it, we found that the cost of each T-shirt is $20, and the cost of each pair of pants is $12.
Explanation:To find out how much each T-shirt and each pair of pants cost based on the shopper's purchases, we can set up a system of linear equations. Let's denote the cost of a T-shirt as T and the cost of a pair of pants as P.
The two purchases give us these equations:
8T + 5P = $220
5T + 1P = $112
Next, we use a method such as substitution or elimination to solve these simultaneous equations. If we multiply the second equation by 5, we get:
5(5T + 1P) = 5($112)
25T + 5P = $560
Now subtract the first equation from this result:
25T + 5P - (8T + 5P) = $560 - $220
17T = $340
T = $20
Now that we know the cost of a T-shirt, we can substitute T in one of the original equations to find P:
5T + P = $112
5($20) + P = $112
$100 + P = $112
P = $12
So, a T-shirt costs $20 and a pair of pants costs $12.
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suppose you went to a carnival. the price in was $6, and you paid $0.50 to get on each ride. if you went to the carnival and rodeo 11 rides, how much did you spend?
suppose you went to a carnival. the price in was $6, and you paid $0.50 to get on each ride. if you went to the carnival and rodeo 11 rides, how much did you spend?
Answers
Answer: 11.50
Step-by-step explanation:
6$ to get in+ rides=$
11(rides)*.50(price of rides)=5.50
5.50+6=$11.50
You want to put $2,500 in a simple interest account. It has a 4% annual interest rate. How long will it take you to earn $200 in interest? 2nd question of the day. See if you can answer it.
Answers
what are the two types of exponential functions?
Answers
The two types of exponential functions are:
Exponential Growth: exponential growth function is [tex]y = a^x[/tex], where "a" is the base and "x" is the exponent.
Exponential Decay: exponential decay function is [tex]y = a^{(-x)[/tex], where "a" is the base and "x" is the exponent.
The two types of exponential functions are:
Exponential Growth: In an exponential growth function, the base (often denoted by "a") is greater than 1.
As the input (x) increases, the output (y) grows at an increasing rate, creating a steep upward curve on the graph.
The general form of an exponential growth function is [tex]y = a^x[/tex], where "a" is the base and "x" is the exponent.
Exponential Decay: In an exponential decay function, the base (often denoted by "a") is between 0 and 1 (exclusive).
As the input (x) increases, the output (y) decreases at an increasing rate, creating a steep downward curve on the graph.
The general form of an exponential decay function is [tex]y = a^{(-x)[/tex], where "a" is the base and "x" is the exponent.
Both types of exponential functions show rapid growth or decay patterns, and their graphs exhibit a characteristic curve that is continuous and smooth.
The difference lies in the behavior of the output (y) concerning the input (x).
In exponential growth, the output increases exponentially with increasing input, while in exponential decay, the output decreases exponentially as the input increases.
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the rule is :divided by 5 the pattern is : 625
Answers
hope this helps :)
An equation for this problem- The cable company charges a monthly fee of $45. Each movie rental is $1.99. You owe $68.88/ How many movies did you rent?
Answers
Answer:
12 movies
Step-by-step explanation:
If you have to pay 1.99 per movie and that is our unknown, we can express that as 1.99x, where x is the number of movies (our independent variable). If you rent 0 movies, you still have to pay the company $45. So the equation for the number of movies you rent:
y = 1.99x + 45 where y is the total cost of your cable for that month. We know the cost for a certain month was 68.88 so our equation becomes
68.88 = 1.99x = 45 and
23.88 = 1.99x so
x = 12 movies
To calculate the number of movies you rented, first subtract the monthly fee of $45 from the total amount owed of $68.88, which leaves $23.88 for movie rentals. Since each movie costs $1.99, divide $23.88 by $1.99 to get approximately 12 movies rented.
Explanation:
The subject of this question is a simple algebraic problem involving a basic equation. To find out how many movies were rented, we first need to understand what charges make up the total charge of $68.88. Given that the cable company charges a monthly fee of $45 and each movie rental costs $1.99, we know that the total charge of $68.88 includes both the monthly fee and the cost of movie rentals.
To find out how many movies were rented, we subtract the monthly fee from the total owed: $68.88 - $45 = $23.88. This is the total cost for movie rentals. Since each movie costs $1.99, we divide the total cost of rentals by the cost per movie: $23.88 / $1.99. The answer is about 12, "so you rented approximately 12 movies".
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Which distribution has the greatest spread?
Mean Standard
Deviation
Distribution 1 22 0.2
Distribution 2 21 0.8
Distribution 3 19 1.2
Distribution 4 20 3.2
Answers
Answer:
Distribution 4, mean is 20 and standard deviation is 3.2
Step-by-step explanation:
The standard deviation tells us on average how far each of our data values is from the mean. A standard deviation that is larger than the others will mean a distribution that is more spread out than the others; 3.2 is the largest standard deviation, so Distribution 4 has the greatest spread.
PLEASE HELP ASAP
A construction crew is lengthening a road. The road started with a length of 57 miles, and the crew is adding 4 miles to the road each day. Let L represent the total length of the road (in miles), and let D represent the number of days the crew has worked. Write an equation relating L to D . Then use this equation to find the total length of the road after the crew has worked 38 days.
Equation:
total length of the road after 38 days: Miles
Answers
so L= 167
i hope thats right!!
A unit of measure used in surveying is the link; 1 link is about 8 inches. about how many links are there in 9 feet.
Answers
1 link = 8 inches
1 inch = 0.083 feet
108 inches = 9 feet
To find how many links:
108/8= 13.5 links
To find out how many links are there in 9 feet, we can use the conversion factor that 1 link is about 8 inches.
Explanation:To find out how many links are there in 9 feet, we can use the conversion factor that 1 link is about 8 inches. First, we need to convert 9 feet to inches by multiplying it by 12 (since there are 12 inches in 1 foot). So, 9 feet = 9 x 12 = 108 inches. Next, we can divide 108 inches by 8 (since 1 link is approximately 8 inches) to find the number of links. 108 inches ÷ 8 = 13.5 links. Therefore, there are approximately 13.5 links in 9 feet.
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what divided by 6 equals 4
Answers
6÷1.5 = 4
The correct answer is 1.5.
What is the formula of divide?The formula of divide is Dividend ÷ Divisor = Quotient + Remainder.
What is Remainder?Remainder is the left over number in the division.
Given:
6 ÷ ? = 4......(1)
Here we assume x is divided by 6 equals 4.
Then put x in given equation (1).
6 ÷ x = 4
x = 6 ÷ 4.
x = 6/4 = 1.5
Here 6 is dividend, 4 is divisor and 1.5 is quotient.
Therefore, 1.5 divided by 6 equals 4.
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Calculate the length of the circumference of a circle with a diameter of 7 cm
Answers
circumference of a circle with a radius of 5 inches
Answers
You can express that by writing C ≈ 31.42 in.
I hope you find this answer the most helpful.
Answer is provided in the image attached.
What is the common difference in the sequence 5, 10, 15, 20, 25,...?
A. -5
B. 1/2
C. 2
D. 5
Answers
You just need to subtract term 1 (5) from term 2 (10) to find the answer, and the common difference between each sequential term is 5
Solve by factoring.
3q^2+q-14=0
Answers
In all you will get (q+7) (q-6)
What is the simplified form of (x – 2)(2x +3)? Use the Distributive Property.
2x2 – x – 6
2x2 – 6
2x2 – 7x – 6
2x2 + x – 6
2. What is the simplified form of (3x + 2)(4x – 3)? Use a table.
12x2 + 18x + 6
12x2 + x – 6
12x2 + 18x – 6
12x2 – x – 6
3. What is the simplified form of (4p – 2)(p – 4)?
4p2 + 6p – 16
4p2 – 18p + 8
4p2 – 14p – 6
4p2 – 6p + 16
4. The radius of a cylinder is 3x – 2 cm. The height of the cylinder is x + 3 cm. What is the surface area of the cylinder? Use the formula A = 2r2 + 2rh.
Answers
the answer is 2x² – x – 6
2) (3x + 2)(4x – 3) =12x²-9x +8x -6
the answer is 12x2 – x – 6
3) (4p – 2)(p – 4) = 4p²-16p-2p+8
the answer is 4p2 – 18p + 8
4) since A = 2r2 + 2rh
so A = 2(3x – 2)² + 2(3x – 2)(x + 3)
= (3x – 2) ( 2(3x – 2) + 2 (x + 3))
A =(3x – 2) ( 10x+2)
Answer:
Step-by-step explanation:
A. The given equation is:
[tex](x-2)(2x+3)[/tex]
simplifying this,
[tex]2x^{2}-4x+3x-6[/tex]
[tex]2x^{2}-x-6[/tex]
Option A is correct
B. The given equation is:
[tex](3x+2)(4x-3)[/tex]
simplifying this,
[tex]12x^{2}+8x-9x-6[/tex]
[tex]12x^{2}-x-6[/tex]
Option D is correct.
C. The given equation is:
[tex](4p-2)(p-4)[/tex]
simplifying this,
[tex]4p^2-2p-16p+8[/tex]
[tex]4p^2-18p+8[/tex]
Option B is correct.
D. The radius of a cylinder is 3x – 2 cm. The height of the cylinder is x + 3 cm. Then,
Surface area of cylinder=[tex]2r^{2}+2rh[/tex]
=[tex]2r(r+h)[/tex]
=[tex]2(3x-2)(3x-2+x+3)[/tex]
=[tex]2(3x-2)(4x+1)[/tex]
=[tex]2(12x^{2}-8x+3x-2)[/tex]
=[tex]24x^{2}-10x-4[/tex]
Therefore, Surface area of cylinder=[tex]24x^{2}-10x-4[/tex] sq units
Given four functions, which one will have the highest y-intercept?
f(x)g(x)h(x)j(x)
Blake is tracking his
savings account with
an interest rate of 5%
and a original deposit
of $6.
xg(x)
16
28
312
the function h of x equals 4 to the x power, plus 3j(x) = 10(2)x
Answers
1) Blake is tracking his savings account with an interest rate of 5% and a original deposit of $6.
Equation : y = 0.05x + 6
y-intercept = (0,6)
2) x g(x)
1 6
2 8
3 12
y-intercept = (0,5)
3) The function h of x equals 4 to the x power, plus 3
equation : y = 4^x + 3
y-intercept = (0,4)
4) j(x) = 10(2)x
y-intercept = (0,1)
Best choice : f(x) has the highest y-intercept.
Answer:
The highest Y-intercept would be f(x)
"Compounding frequency" refers to:
Answers
A(n) ______ is a letter or symbol that represents some unknown value.
A. term
B. equation
C. variable
D. expression
Answers
hope this helps you
For example, if you have the equation 6x=47
You are trying to find the value of "x"
So x is unknown
Hope this helps!
A refrigerator is priced at $1,250. There are two options offered to reduce the price: either a 25% discount off the price or a rebate of $300. Which is the better choice, and what is the extra amount saved?
A.The 25% discount is better; it saves $12.50.
B.The rebate is better; it saves $12.50.
C.The 25% discount is better; it saves $75.
D.The rebate is better; it saves $75.
Answers
Answer:
A.The 25% discount is better; it saves $12.50.
Step-by-step explanation:
Here, the given marked price of the refrigerator = $ 1250,
In first option,
Discount percentage = 25 %,
Thus, total discount = 25 % of the marked price
= 0.25 × 1250
= 312.5
Thus, the selling price = 1250 - 312.5 = $ 937.5,
In second option,
Discount = $ 300,
Thus, the selling price = 1250 - 300 = $ 950,
Since, 937.5 < 950
Hence, First option is better than that of second.
Also, total saving = 950 - 937.5 = $ 12.5
⇒ The 25% discount is better; it saves $12.50
lim x tanx/ 1-cosx
x―>0
please help... ...?
Answers
⇒ lim x→0 xtan(x)/ [1 - cos(x)] =
= lim x→0 xtan(x) / 2sin²(x/2) =
= lim x→0 1/2 xtan(x) / [sin²(x/2) / (x/2)² * (x/2)²]
Also, we know that lim x→0 sin(x)/x = lim x→0 tan(x)/x = 1
So the limit is :
= 1/2 lim x→0 xtan(x) / (x²/4) =
= 1/2 lim x→0 4/x² * xtan(x) =
= 2 lim x→0 tan(x)/x =
= 2.
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
help please!
What percent of $6.50 is $2.60?
Answers
What is one half plus one fifth?
Answers
What is the slope intercept of 2x-8y=24?
Answers
Which property of equality would be used to solve the equation -3x = 252?
addition
subtraction
multipication
division< is it this one
Answers
Hey there! Your answer is division! You were right! Because you would divide by -3 to get x. Hope this helped! Your fellow Brainly user, GalaxyGamingKitty.