Answers
The inverse, converse and contrapositive of a statement are used to determine the true values of the statement
How to determine the inverse, converse and contrapositiveAs a general rule, we have:
If a conditional statement is: If p , then q .
Then:
Inverse -> If not p , then not q .Converse -> If q , then p .Contrapositive -> If not q , then not p .Using the above rule, we have:
Statement 1
Inverse: If a parallelogram does not have a right angle, then it is not a rectangle. Converse: If a parallelogram is a rectangle, then it has a right angle.Contrapositive: If a parallelogram is a not rectangle, then it does not have a right angle.All three statements above are true
Statement 2
Inverse: If two angles of one triangle are not congruent to two angles of another, then the third angles are not congruent. Converse: If the third angles of two triangle are congruent, then the two angles are congruent to two angles of anotherContrapositive: If the third angles of two triangle are not congruent, then the two angles are not congruent to two angles of anotherAll three statements above are also true
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Related Questions
What is the general equation of a sine function with an amplitude of 2, a period of Pi and a horizontal shift of Pi units? y = 2 sine (2 (x minus pi)) y = 2 sine (4 (x pi)) y = sine (0. 5 (x minus pi)) y = sine (2 (x pi)).
Answers
The general equation of the sine function is [tex]\rm y= 2sin(2(x-\pi)[/tex]. The sine and cosine of an acute angle are utilized to find the angle of the triangle.
What is sin function?The sine and cosine of an angle are trigonometric functions. In the context of a right triangle, the sine and cosine of an acute angle are used to find the angle of the triangle.
The standard general equation of a sine function is given as;
[tex]\rm y= AsinB(x-C)+D[/tex]
Where A denotes the amplitude, B is the frequency, D is the vertical shift and C is the phase shift.
The given data in the problem is;
A is the amplitude= 2
B is the frequency=2
D is the vertical shift =0
C is the phase shift.=[tex]\pi[/tex]
The general equation is found as;
[tex]\rm y= 2sin(2(x-\pi)[/tex]
Hence the general equation of the sine function is [tex]\rm y= 2sin(2(x-\pi)[/tex].
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what is c² + 6c - 6 if c = 4?
Answers
Answer:
34
Step-by-step explanation:
In order to solve this problem, you would have to plug-in 4 in letter c.
So the equation would go from:
c² + 6c - 6 to
(4)² + 6(4) - 6
4 to the square power is 16
6 times 4 is 24
So you would write this equation next
16 + 24 - 6
after adding and subtracting you should get 34 as your final answer.
Hope this helps!
SIDE NOTE: REMEMBER TO FOLLOW THE RULES OF PEMDAS WHEN ANSWERING THESE PROBLEMS!
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Answer:
34
Step-by-step explanation:
In order to solve the equation, all you would have to do is substitute your answer by the number given. It would look something like this:
(4)^2+6(4)-6
Remember to follow PEMDAS when solving it.
(4)^2 --> 4*4=16
6(4)=24
16+24-6=34
So, your final answer would be 34.
if (3/8)/(2/3)=(3/8)*(3/x), then x= ?
Answers
Answer:
[tex]\fbox{x=4.5}[/tex]
Step-by-step explanation:
[tex] \frac{ \frac{3}{8}}{ \frac{2}{3} } = \frac{ \frac{3}{8}}{ \frac{3}{x} } [/tex]
Multiplying LHS & RHS with 3/8,
[tex]\frac{1}{\frac{2}{3}} = \frac{1}{\frac{3}{x}}[/tex]
Taking reciprocal both the side,
[tex] \frac{3}{2} = \frac{x}{3} [/tex]
Cross multiplying and dividing,
[tex]9 = 2x \\ x= \frac{9}{2} \\ x= 4.5[/tex]
[tex]\fbox{x=4.5}[/tex]
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The rate at which people learn about a secret is directly proportional to the number of people who know the secret. If two people know the secret on day 0, and 20 people know it on day 2, how long will it take for the whole school (4000 people) to know?
Answers
Answer:
between 222 and 223 days
Step-by-step explanation:
This relation includes the point (0, 2).
A proportional relation must include the point (0, 0).
This is not proportional, but it may be linear.
Points: (0, 2), (2, 20)
y = mx + b
20 = (20 - 2)/(2 - 0) × 2 + b
20 = 18/2 × 2 + b
b = 2
y = 18x + 2
When 4000 people know, y = 4000.
y = 18x + 2
4000 = 18x + 2
3998 = 18x
x = 3998/18
x = 222.111...
Answer: between 222 and 223 days
653005 number with commas as per the international number system
Answers
Answer:
653005 = 653,005 in the International System of Numeration, the number is (Six hundred fifty-three thousand and five)
25
Which equation best represents the relationship between x and y in the graph?
Y
9
S
2
5
4
3
2
1
-2
3
Ay=-4-3
4
3
BY--x-3
c y = - 8x - 4
D y = - 3X -4
Cy
7X
Dy=-31
*
Answers
Answer:
-3/4 x -3
Step-by-step explanation:
Put all Answer choice on graph:
-3/4 x -3
-4/3 x - 3
-3/4 x -4
Base on the graphs below:
we can see that -3/4 x -3 is the best represents..
~Lenvy~
Part A
Find the website for your state’s department of motor vehicles (DMV). Investigate the minimum coverage requirements established by your state, and list these coverage requirements:
Injury or death to one person
Injury or death to more than one person
Damage to property
Answers
California often needs the following minimum insurance coverage:
That is $15000 for any kind of bodily Injury or death to one person.That is $30000 for any kind of bodily $30,000 for injury or death to more than one person.That is $5000 for any form of property damage liability.What does minimum mean?The phrase minimum coverage in terms of car insurance policy is known to be the bodily injury liability and property damage liability that one has to cover.
It is known to often differ per state. Note that all the minimum coverage requirements above are paid by the person who cause the accident.
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Use the distributive property (expand) to write an equivalent expression for: 3(4x-2t). Type your answer ( I NEED THIS RIGHT AWAY PLS)
Answers
Answer:
The distributive property here is to just multiply each value by tree number outside the parenthesis.
3 ( 4x - 2t)
12x - 6t
That would be your answer.
I
For each of the following functions find f(-x) and -f(x), then determine whether it
is even, odd or neither. Justify your answer.
f(x)=x^3-7/x
f(x)=|-x|
f(x)=25-x^3
f(x)=72-x^4
Answers
By using the definition of even and odd functions, we will see that:
a) oddb) even.c) neitherd) even.What is an odd and an even function?A function f(x) is even if:
f(x) = f(-x)
And the function is odd if:
f(-x) = -f(x).
Now let's check it for all the given functions.
a) f(x) = x^3 - 7/x
-f(x) = -x^3 + 7/xf(-x) = (-x)^3 - 7/(-x) = -x^3 + 7/xSo this function is odd.
b) f(x) = |-x|
-f(x) = -|-x|f(-x) = |-(-x)| = |x| = |-x|This function is even.
c) f(x)=25-x^3
-f(x) = -25 + x^3f(-x) = 25 - (-x)^3 = 25 + x^3This function is neither odd nor even.
d) f(x) = 72-x^4
-f(x) = -72 + x^4f(-x) = 72 - (-x)^4 = 72 - x^4 = f(x)This function is even.
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Thank you for your help please help thanks
Answers
Answer: 147m²
Step-by-step explanation:
Find the area of the rectangle or square 19 3 km and 38.4 km.
Answers
Answer:
Area of rectangle is 741.12km^2
Area of square is 1474.56km^2
Step-by-step explanation:
Formula for Area of a rectangle= length x breadth
Area = l x b = 19.3 km x 38.4 km (substitute the numbers)
Area = 741 km^2
OR
Area of square = length x length
Area = l x l = 38.4 x 38.4
Area = 1474.56 km^2
troy organizes a samll party there are 30 glasses of drinks at the party 20 of which contain an orange flavored drink what is the probability that a randomly selected drink will be orange flavored
Answers
Answer:
66(2/3) %
Step-by-step explanation:
There are 30 possible outcomes because there are 30 cold drinks.
The Probability of orange flavored 20/30 = 2/3 = 0.6666....
66.6666....%= 66(2/3) %
A snack-size bag of pretzels contains 0.5 ounce. How many ounces of pretzels come in a bulk pack that contains 64 snack size bags.
Answers
[tex]__________________________[/tex]
Given:Each bag of pretzels contain = 0.5 ozAnswer & Solution:64 x 0.5 oz = 32 oz
Therefore, 64 bags of pretzels contains 32 oz of pretzels.
1) on a test suzy has a diagram of a regular prism and pyramid. both have a height of 4 inches, both have square bases with the side lengths of 6 inches, and the pyramid has a slant height of 5 inches. which shape has the larger surface area? a) they have the same surface area. b) the prism does by 72 square inches. c) the pyramid does by 72 square inches. d) there is not enough information to determine the surface area.
Answers
The Prism has a larger surface area than the pyramid.
What is area?Area is the amount of space occupied by a two dimensional shape or object.
Surface area of Prism = 2 * base area + 4(base length)(height)
Surface area of Prism = 2(6 * 6) + 4(6)(4) = 168 in²
Surface area of pyramid = (base area) + 2(base length)(slant height)
Surface area of pyramid = (6 * 6) + 2(6)(5) = 96 in²
The Prism has a larger surface area than the pyramid.
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Please help answer the attached question
Answers
Answer:
angle BCD = 108
Step-by-step explanation:
opposite angles in a cyclic quadrilateral add to 180
so angle BDC is 180 - 72 = 108
what are the angles 32 and 114 there for??
In rectangle GRAM below GA =4×+17 and MR= 7x-4 find the value of x and the lenghts of GA MR
Answers
Answer: x=7, GA=MR=14
Step-by-step explanation:
Eric runs a coffee shop and bought 5,480 cups at the beginning of the week. At the end of the week, he had 20% of the cups left. How many cups does Eric have left?
Answers
Answer: 1,096 cups
Step-by-step explanation:
Answer: 1096 cups left.
Step-by-step explanation: 20% of 5,480 is 1096. This is accurate because 20% is one-fifth of 100%. In this case, 5,480 is our 100%. When you divide 5,480 by 5, you get the answer 1,096, which is 20% of the 5,480 cups that Eric started with.
Have a great day! :)
After door-to-door canvassing, census workers determine the number of unoccupied homes. The table shown to the
right lists the number of homes, in millions, that were unoccupied in four census years.
Answer questions a through c.
Answers
The exponential regression equation of the census predicts the number of unoccupied homes
The exponential regression equation is y = 5.247256 * 1.033157^x
How to determine the exponential regression equation?The dataset is given as:
x y
0 5.3
10 7.3
20 9.7
30 14.3
To determine the exponential regression equation, we make use of a graphing calculator.
The calculation summary from the graphing calculator are:
Regression Equation: y = 5.247256 * 1.033157^xCorrelation: r = 0.998002R-squared: r^2 = 0.996008Hence, the exponential regression equation is y = 5.247256 * 1.033157^x
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help 1 hour left please
Answers
Answer: 110 degrees
Step-by-step explanation:
Jake opens a credit card with 18% annual interest compounded monthly. If he charges $800 on the card and never pays it off, how much will he owe the credit card company in 2
years? Round to the nearest cent.
Answers
Work Shown:
A = P*(1+r/n)^(n*t)
A = 800*(1+0.18/12)^(12*2)
A = 1,143.60224954321
A = 1,143.60
Notes:
P = 800 is the principal. It is the amount loaned to Jake.r = 0.18 is the decimal form of the 18% interest raten = 12 because we're compounding monthly, i.e. 12 times a yeart = 2 = number of yearsFor more information, check out the compound interest formula.please help me please
Answers
Answer:
Heres the answer Hope this helps!:)
Which of the following best explains why one graph appears skewed and one graph appears symmetrical? The scale of the box-and-whisker plot does not start at zero. The interval of the box-and-whisker plot is too large. The interval of the stem-and-leaf plot is not consistent. The scale of the stem-and-leaf plot is too small for the set of data.
Answers
The statement that best explains why one graph appears skewed and one graph appears symmetrical is given by: Option C: The interval of the stem-and-leaf plot is not consistent.
What is a symmetric distribution?A symmetric distribution oftenly refers to the distribution which looks symmetric about a fixed line.
For this case, the missing image is attached below.
The stem leaf plot represents the considered bar plot.
But stem leaf plot seems symmetric whereas the box plot isn't.
This is because the stem and leaf plot is missing '5' in its stem, making the interval inconsistent.
Doing inconsistant graphing isn't allowed as that represents distorted data, as for this case, the data seems symmetric when it isn't.
Thus, the statement that best explains why one graph appears skewed and one graph appears symmetrical is given by: Option C: The interval of the stem-and-leaf plot is not consistent.
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Answer:c edge
Step-by-step explanation:
Each square below represents one whole
Answers
Answer:
52.
Step-by-step explanation:
shaded = (3²) + (2²)
shaded = 9 + 4
shaded = 13
Unshaded = (3 x 2) + (2 x 3)
Unshaded = 6 + 6
Unshaded = 12
All = 12 + 13
All = 25
100 / 25 = 4
4 x 13 = 26 x 2
26 x 2 = 52.
Answer:
48%
Step-by-step explanation:
25 total boxes
12 are filled
12/25=48%
A stunt plane ended a maneuver
100 meters above the top of a
skyscraper before dropping more
than 12 meters. What is the
highest altitude the plane could be
after the drop?
Answers
Answer:
The stunt plane finally finished his stunt at a height of 300m above the skyscraper which means he is at a height of h0 + 300 above sea level
Therefore , the total elevation (e) would be :
e = 300 + 100
= 400m
what is the way to find inverse of matrix?
Answers
Formula for inverse of matrix:
matrix → inverse matrix
[tex]A = \bold{ \sf { \begin{pmatrix}a&b\\ c&d\end{pmatrix} \ \ \ \rightarrow \ \ A^{-1} = \dfrac{1}{(ad-bc)} \begin{pmatrix}d&-b\\ -c&a\end{pmatrix} }}[/tex]
The cost price of 12 candles is equal to the sellering price of 15 candles. Find the loss percent.
Answers
Answer: Let SP of 15 candles = Rs.100. CP of 12 candles = SP of 15 candles = Rs.100 CP of 15 candles = = Rs.125 Loss = CP – SP = 125 – 100 = 25 = 20% 10.
Step-by-step explanation: This was a simple answer also CP means sale price
Y+1.27=7.23 solve for y
Answers
Answer:
y=5.96
Step-by-step explanation:
You can do a reverse equation and do 7.23 - 1.27 = 5.96
What heat transfer is Christmas lights radiation or convention or conduction
Answers
Answer:
The heat from the sun or heat released from the filament of a light bulb is the example of radiation.
Hi, good morning. i will give u brainlest if u help me thanks and if u get the answer correct.
Answers
Answer:
22.50
Step-by-step explanation:
Given:
Selling everything in his store for 5/8 of the marked price.
find a t-shirt that is marked at $36
Solve:
36 * 5/8
[tex]\frac{36}{1}\cdot \frac{5}{8}[/tex]
[tex]\frac{9\cdot \:5}{2}[/tex]
[tex]\frac{45}{2}[/tex]
22.50
~lenvy~
each team in a youth soccer league pays $784 to join the league. if a team consists of 12 players and the fee is divided equally among the players, how much does each player pay?
Answers
Answer:
$65.33
Step-by-step explanation:
12x = 784
÷12 ÷12
x = 65.33
They would each have to pay $65.33.
I hope this helps!