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
pls help me to answer this
Answers
I'll do the first two questions of each activity to get you started. The remaining unanswered questions will follow similar steps compared to the other questions in the same activity group.
=======================================================
Activity 5, Problem 1
To find the mean, we first add up the values
4+8+2+8+5+9 = 36
Then we divide over n = 6 because there are 6 values in this data set.
36/n = 36/6 = 6
Answer: Mean = 6=======================================================
Activity 5, Problem 2
Follow the same idea as the previous problem.
Add the values: 9+8+8+13+12 = 50
Divide by the number of values: 50/n = 50/5 = 10
Answer: Mean = 10=======================================================
Activity 6, Problem 1
The median is the middle-most number. Think of a median of a highway or freeway.
In order to find the median, we first need to sort the data values from smallest to largest.
The original set {7,3,9,9,2,5,8} sorts to {2, 3, 5, 7, 8, 9, 9}
If we erased the first and last items, we get this smaller subset
{3, 5, 7, 8, 9}
repeat again to get
{5,7,8}
At this point its clear the middle most value is 7
But if you wanted, you could cross the first and last values from the list to end up with {7}
Answer: Median = 7=======================================================
Activity 6, Problem 2
We could do the same trick as the previous problem, but I'll use a slightly different route this time.
We'll need to sort {10,8,4,11,9} into {4, 8, 9, 10, 11}
There are n = 5 items in that set. The middle slot would be at slot n/2 = 5/2 = 2.5 = 3
The value 9 is in slot 3 of the sorted items.
Answer: Median = 9=======================================================
Activity 7, Problem 1
The mode is the most frequent value of a set. It repeats the most often.
The set {5,6,7,3,5,4} sorts to {3,4,5,5,6,7}
The value "5" shows up the most. It shows up twice when everything else shows up exactly once only.
Answer: Mode = 5=======================================================
Activity 7, Problem 2
Using the same idea in the previous problem, the set {7,4,11,9,7,3} has the mode 7 because it shows up the most of any other value.
Here's the sorted set: {3,4,7,7,9,11}
Sorting is optional with finding the mode in contrast to being mandatory when it comes to finding the median.
Answer: Mode = 7The total area of a picture frame, including
the glass and 1.5-inch wide wooden frame, is
238 square inches. If the frame is 17 inches
tall, what are the dimensions of the maximum
picture size that will fit in the frame?
Answers
The dimensions of the picture size to fit in the frame are 14 inches by 11 inches.
How tall can the picture be?It is known the frame is 17 inches tall but this includes 1.5 inches of the wooden frame. This means that 3 inches of the frame (1.5 inches x 2) do not count for the size of the picture.
17 inches - 3 inches = 14 inches tall.How long can the picture be?We already know the picture can be 14 inches tall and the total area is 238 square inches including the 1.5 wooden frame.
Area = s x sS = Area / sS = 238 / 17 (height including frame)S= 14 inches (length including frame)14 inches - 3 inches = 11 inches.Learn more about inches in: https://brainly.com/question/17533009
Maryan harvested a total of 22.69 t of rice and sold it in 100 kg bags. how many full bags did she sell
Answers
Answer:
1t = 1000kg
22.69 x 1000= 22690 kg
22690 kg ÷ 100 = 226.9
I would usually round it to 227 but I would say 226, since they are asking how many full bags she sold.
If a person who is 5.5 feet tall throws a baseball into the air, the path can be modeled using the table of values, where x represents the time in seconds and y is the height of the ball in feet.
(table is in the photo below)
Which quadratic equation models the data in the table?
y= −0.25x2 + 2x + 5.5
y= −0.35x2 + 2x + 5.5
y= −0.27x2 + 3x + 5.5
y= −0.15x2 + 2x + 5.5
Answers
Answer:
The answer is D : y= −0.15x^2 + 2x + 5.5
Step-by-step explanation:
i got it right on my test
The quadratic equation represented by the table is y = -0.15x² + 2x + 5.5
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Quadratic function is in the form y = ax² + bx + c; where a, b and c are constants.
From the table, at point (0, 5.5):
5.5 = a(0)² + b(0) + c (1)
From the table, at point (1, 7.35):
7.35 = a(1)² + b(1) + c (2)
From the table, at point (2, 8.9):
8.9 = a(2)² + b(2) + c (3)
From 1, 2 and 3:
a= -0.15, b = 2, c = 5.5
The quadratic equation represented by the table is y = -0.15x² + 2x + 5.5
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pls help me thank you very much and if your gonna put a wrong answer dont waste my time
Answers
Answer:
60 degrees
Step-by-step explanation:
well, angle x is on a line with a little square that means 90 degrees and a 30 degree angle, so you would simply add those two angles together 90+30=120 and then subtract by 180 because a straight line is always 180 degrees which is 180-120=60 degrees.
point grab lol
given that 2x^2 - 2y^2 = 40 and x-y=5, find the value of (x+y)
Answers
Answer:
x+y=4
Step-by-step explanation:
hello :
note : by identity you have x²-y² = (x-y)(x+y)
in this exercice : 2x²-2y² = 2(x²-y²) = 2 (x-y)(x+y)
means : 2 (x-y)(x+y) = 40
but x-y = 5
so : 2(5)(x+y) =40
x+y=40/10
x+y=4
A box of tissues is shaped like a rectangular prism and has a volume of 288 cubic inches. The box has a height of 4 inches and a length of 12 inches.
What is the width of the tissue box?
Answers
Answer:
6 in
Step-by-step explanation:
4×12×w=288
48×w=288
/48. /48
w=6
what is the nature of triangle formed by the lines x+y=0 , 3x+y=0 , x+3y-4=0
Answers
Answer:
isosceles obtuse triangle
Step-by-step explanation:
The attached graph shows a plot of the three lines.
The triangle is an isosceles obtuse triangle in the 2nd quadrant.
_____
It is convenient to let a graphing calculator plot these lines. If you're going to plot them by hand, it usually works best to choose values of the variables for the variable that has the largest coefficient (3 in two of the equations). That way, you're not trying to plot coordinates that contain fractions.
1. two positive numbers are in
a ratio of 3:4. the sum of
three times the first and two
times the second is 68. find
the smaller number?
solution
Answers
Answer:
12
Step-by-step explanation:
the ratio of the 2 numbers = 3 : 4 = 3x : 4x ( x is a multiplier ) , then
3(3x) + 2(4x) = 68 , that is
9x + 8x = 68
17x = 68 ( divide both sides by 17 )
x = 4
smaller number = 3x = 3 × 4 = 12
Hello, could anyone please help me with my homework?
My question is:-
(x+6)^6
Please solve A.S.A.P.
Kindly don't lose your precious time by spamming; instead, please provide a high-quality answer. Thanks in advance :-)
Answers
Answer:
[tex] (x + 6 {)}^{6} = {x}^{6 } + 36{x}^{5} + 540{x}^{4} + 4320 {x}^{3} + 19440{x}^{2}+ 46656{x}^{} + 46656 [/tex]
Step-by-step explanation:
we want to solve the following binomial:
[tex](x + 6 {)}^{6} [/tex]
There is a handy way to expand powers of binomials which is known as binomial theorem . and it describes the algebraic expansion of powers of a binomial. binomial theorem is given by
[tex] \displaystyle (a + b {)}^{n} = \sum _{k = 0 }^{n} \binom{n}{k} {a}^{n - k} {b}^{k} [/tex]
comparing (x+6)⁶ to (a+b)ⁿ , we get
[tex]a \implies \: x[/tex][tex]b\implies \: 6[/tex][tex]n\implies \: 6[/tex]now substitute them on the formula which yields:
[tex] \displaystyle (x + 6 {)}^{6} = \sum _{k = 0 }^{n} \binom{6}{k} {x}^{6 - k} \cdot {6}^{k} [/tex]
converting the summation notation into sum yields:
[tex] \displaystyle (x + 6 {)}^{6} = \binom{6}{0} {x}^{6 - 0} \cdot {6}^{0} + \binom{6}{1} {x}^{6 - 1} \cdot {6}^{1} + \binom{6}{2} {x}^{6 - 2} \cdot {6}^{2} + \binom{6}{3} {x}^{6 - 3} \cdot {6}^{3} + \binom{6}{4} {x}^{6 - 4} \cdot {6}^{4} + \binom{6}{5} {x}^{6 - 5} \cdot {6}^{5} + \binom{6}{6} {x}^{6 - 6} \cdot {6}^{6} \\ \implies(x + 6 {)}^{6} = \binom{6}{0} {x}^{6 } \cdot 1 + \binom{6}{1} {x}^{5} \cdot {6} + \binom{6}{2} {x}^{4} \cdot 36+ \binom{6}{3} {x}^{3} \cdot 216 + \binom{6}{4} {x}^{2} \cdot 1296+ \binom{6}{5} {x}^{} \cdot 7776+ \binom{6}{6} {x}^{0} \cdot 46656 \\ \implies(x + 6 {)}^{6} = 1 \cdot {x}^{6 } \cdot 1 + 6 \cdot{x}^{5} \cdot {6} + 15 \cdot {x}^{4} \cdot 36+ 20 \cdot {x}^{3} \cdot 216 + 15 \cdot{x}^{2} \cdot 1296+ 6 \cdot {x}^{} \cdot 7776+ 1 \cdot {x}^{0} \cdot 46656 \\ \implies \boxed{ (x + 6 {)}^{6} = {x}^{6 } + 36{x}^{5} + 540{x}^{4} + 4320 {x}^{3} + 19440{x}^{2}+ 46656 {x}^{} + 46656 }[/tex]
and we're done!
50 points!! Instructions: Find the missing side. Round your answer to the nearest tenth.
Answers
Answer:
16.4 units to the nearest tenth.
Step-by-step explanation:
sin 66 = 15 / x
x * sin 66 = 15
x = 15 / sin 66
= 16.4196
Done!
The half-life of a particular radioactive substance is 10 seconds. If you started with 100 grams of this substance, how much of it would remain after 60 seconds?
Answers
100(1-0.50)^6
remaining amount is:
1.56
There are 1.5625 grams of the radioactive substance that would remain after 60 seconds.
What is an exponent?The exponent of a number represents the total time required to multiply that number. 8 8 8 may be stated as 83 since 8 is multiplied by itself three times. In this case, 3 is the 'exponent' or 'power' that indicates how many times 8 is multiplied by itself, and 8 is the 'base' that represents the integer being multiplied.
The exponent is given as:
y = a (1 - r)ˣ
As per the question, we have
a = 100, and r = 0.50 and x = 6
Substitute the known values in the above formula, and we get
y = 100 × (1-0.50)⁶
y = 100 × (0.50)⁶
y = 100 × 0.015625
Apply the multiplication operation, a
y = 1.5625
So, after 60 seconds, 1.5625 grams of the radioactive substance would remain.
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Five less than 3 times a number is 2.
Answers
Answer:
1
Step-by-step explanation:
5-3x=2
5-3(1)=2
2+3=5
Answer:
1
Step-by-step explanation:
5-3•_=2
The only number that would fit in this equation is 1.
Elaine sold twice as many T-shirts as Kim
How many did each girl sell if the total
number of T-shirts sold was 27?
(no links no files) I need equation
Answers
In Theresa's first 8 basketball games, she scored 7,4,3,6,8,3,1 and 5 points. In her
ninth game, she scored fewer than 10 points and her points-per-game average for the nine
games was an integer. In her tenth game, she scored fewer than 10 points and her points-per-
game average for the ten games was an integer. What is the product of the number of points
she scored in the ninth and tenth games?
Answers
Answer: 40
Step-by-step explanation: The total number of points from the first 8 games is 7+4+3+6+8+3+1+5=37.
We have to make this a multiple of 9 by scoring less than 10 points.
The closest multiple of 9 is 45. 45-37=8.
Now we have to add a number to get a multiple of 10.
The next multiple is 50 we added 5, multiplying these together you get 8 x 5 is 40.
Solve by substitution or elimination
Answers
Answer:
x=8, y = 0
Step-by-step explanation:
Substitution is easier for this problem.
3x + y = 24 ---> y = 24 - 3x
x^2 + y = 64
Substitute y
x^2 + 24 - 3x = 64
x^2 - 3x = 40
Factor out x
x(x-3) = 40
Pretty much you can guess and check
x = 8
If x = 8, y = 0
or
x^2 - 3x = 40
Complete the square
x^2 - 3x + 2.25 = 42.25
(x-1.5) ^2 = 42.25
Square root both sides
x - 1.5 = 6.5
x=8
x - 1.5 = -6.5
x = -5
Check
x = -5 doesn't work, so x = 8 and y = 0
HURRY PLEASE , I WILL GIVE BRAINLIEST FOR CORRECT ANWSER
Answers
Answer:
B.
Step-by-step explanation:
1) the given equation is provided in slope-interception form, then
2) the interseption is '-3', it means the point (0;-3) - the correct answer is either B or C;
3) the slope of the given line is more that 1 (3/2>1), it means the angle is [45°;90°], then the line of the answer B is satisfies this condition.*
4) finally, the correct answer is B.
* - if to substitute the point (2;0) then it will be true equality 0=0.
4 ft
4 ft
3.5 ft
7 ft
4 ft
Answers
Answer:
The answer is 1,568 in a multiplication problem.
4 x 4 x 4 = 64
3.5 x 7 = 24.5
64 x 24.5 = 1,568
Let me know if this was not what you were looking for, I may or may not be able to change it.
Help ASAP I am so confuseddd
Answers
Answer:
radius = 9.5 cm
Step-by-step explanation:
If 2 chords intersect then the product of the parts of 1 chord is equal to the product of the parts of the other chord, that is
PT × TQ = ST × TR
PT × 3 = 4 × 12 = 48
3 PT = 48 ( divide both sides by 3 )
PT = 16
then
diameter = PT + TQ = 16 + 3 = 19 cm
radius = 19 ÷ 2 = 9.5 cm
The roof of Sally’s house is a triangular prism. The angle at the top of this roof is a right angle and the measure of one of the interior angles is 45°. What is the measure of the unknown angle?
A. 45°
B. 55°
C. 35°
D. 25°
Answers
Answer: A
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees, so the unknown angle is 180-90-45=45 degrees.
Answer:
a
Step-by-step explanation:
Please help me with this, I will give brainliest.
find the value of x round to the nearest 10th
use sin, cos, and tan
Answers
Answer:
5.9 or 5.85 unrounded
SOOO CLOSEE TO BEING DONEEEE helppppp
Answers
[tex]423 \times 10 {}^{2} [/tex]
[tex]2 \times 10 {}^{3} [/tex]
[tex]92 \times 10 {}^{5} [/tex]
[tex]4 \times 10 {}^{3} [/tex]
[tex]80 \times 10 {}^{6} = 8 \times 10 {}^{7} [/tex]
[tex]32 \times 10 {}^{9} [/tex]
Answer:
4.23*10^4
2*10^3
9.2*10^7
4*10^3
8*10^7
3.2*10^10
Skyler is buying a new laptop on layaway for $275; If she pays $55 each week, how many weeks will it take Skyler to pay for the new laptop
Answers
Help if you understand please and thanks
Answers
Answer:
y = 4
Step-by-step explanation:
because 5 x 4 = 20 and 20 × 4 = 80 and so on y is equal to four
Find the circumference and the area of a circle with radius 4km.
Write your answers in terms of π, and be sure to include the correct units in your answers.
4km
Answers
Answer:
16pi km² / 8pi km
Step-by-step explanation:
r = 4
A = pi(r²)
4² = 16
A = 16pi km²
C = 2r(pi)
2r = 8
C = 8pi km
John's parents deposited $1000 into a savings account as a college fund when he was born. How much will John have in this account afer 18 years at a yearly simple inerest rate of 3.25%?
Answers
Answer:
$1,585
Step-by-step explanation:
Simple interest formula:
A = P(1 + rt)
where:
A = final amountP = principalr = annual interest rate (in decimal form)t = time (in years)Given:
P = $1000r = 3.25% = 0.0325t = 18 yearsSubstituting given values into the formula:
⇒ A = 1000(1 + 0.0325 · 18)
= 1585
find the surface area
10in
Answers
Answer:
Area of a triangle
[tex] \frac{bh}{2} \\ 10 \times 10 = 100 \\ 100 \div 2 = 50 \\ the \: triangles \: have \: the \: same \: area \: and \: there \: are \: 4 \: triangles \: so \\ 4(50) = 200 \\ now \: we \: find \: the \: are \: of \: the \: rectangular\: base \: \\ area = bh \\ b = 10 \\ h = 10 \\ 10(10) = 100 \\ no w \: we \: add \: the \: area \: of \: the \: triangles \: and \: the \: square \\ 200 + 100 = 300 \: {in}^{2} [/tex]
what is the first step of the following division problem?
Answers
option A
hope it's correct and really helps...!!!
Answer: the answer is A i got 100% on my
test
Step-by-step explanation:
1. Janelle began the work below to find 368 ÷ 16. Complete the work.
Answers
Answer:
23
Step-by-step explanation:
[tex]368/16=23[/tex]
Select the reason that best supports Statement 7 in the given proof.
Answers
Answer:
the guy above if right it is D
Step-by-step explanation:
I did the work on Acellus and pick D IT GAVE ME A CHECK MARK
The reason that supports the statement 7 in the given proof is D. Subtraction property of equality.
What is Subtraction property of equality?Subtraction property of equality is defined as, if an equation is of the form,
a = b,
then any number subtracted from both sides makes the equation same.
a - c = b - c
Here, given a proof for the value of x.
In the 6th step, by substitution,
55 = 5x + 10
This is an equation.
We need term in x on one side and a constant term on other side.
For that, if we subtract both sides by 10,
55 - 10 = 5x + 10 - 10
45 = 5x
So here the subtraction property of equality is used.
Hence the correct option is D.
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