Answers
Answer:
Step-by-step explanation:
3) Opposite sides of a parallelogram are parallel
4) Alternate interior angles theorem
5) Reflexive property
6) ASA
Related Questions
A contractor records the areas, in square feet, of a small sample of houses in a neighborhood to determine data about the neighborhood. they are: 2,400; 1,750; 1,900; 2,500; 2,250; 2,100 which of the following represents the numerator in the calculation of variance and standard deviation? (225)2 (–425)2 (–275)2 (325)2 (75)2 (–75)2 = 423,750 (650)2 (–150)2 (–600)2 (250)2 (150)2 (–300)2 = 980,000 (250)2 (–400)2 (–250)2 (350)2 (100)2 (–50)2 = 420,000 what is the variance? what is the standard deviation, rounded to the nearest whole number?
Answers
Option c is the correct answer which represents the numerator in the calculation of variance and standard deviation.
What are the variance and standard deviation?In statistics, variance is a measure of the variation of data from the mean, whereas standard deviation is the measure of the normal distribution of statistical data.
A contractor records the areas, in square feet, of a small sample of houses in a neighborhood to determine data about the neighborhood.
2,400; 1,750; 1,900; 2,500; 2,250; 2,100
we need to find which of the following represents the numerator in the calculation of variance and standard deviation.
(225[tex])^{2}[/tex] + (–425[tex])^{2}[/tex]+ (–275[tex])^{2}[/tex] + (325[tex])^{2}[/tex] + (75[tex])^{2}[/tex]+ (–75[tex])^{2}[/tex] = 423,750
(650[tex])^{2}[/tex] + (–150[tex])^{2}[/tex] + (–600[tex])^{2}[/tex] + (250[tex])^{2}[/tex] + (150[tex])^{2}[/tex] + (–300[tex])^{2}[/tex] = 980,000
(250[tex])^{2}[/tex] + (–400[tex])^{2}[/tex] + (–250[tex])^{2}[/tex] + (350[tex])^{2}[/tex] + (100[tex])^{2}[/tex] + (–50[tex])^{2}[/tex] = 420,000
92416.60
The variance is 84000
The standard deviation is 290
mean = (2400+1750+1900+2500+2250+2100)/6
mean = 2150
Subtract the data values from the mean to get
2400-2150 = 250
1750-2150 = -400
1900-2150 = -250
2500-2150 = 350
2250-2150 = 100
2100-2150 = -50
The differences are 250, -400, -250, 350, 100, -50
Then you square those values and add up the squares
(250)^2 + (-400)^2 + (-250)^2 + (350)^2 + (100)^2 + (-50)^2 = 420,000
Hence, option c is the correct answer which represents the numerator in the calculation of variance and standard deviation.
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Two sides of a parallelogram are 170 feet and 650 feet. The measure of the angle between these sides is 113°. Find the area of the parallelogram to the nearest square foot.
Answers
The area of the parallelogram is equal to 101716 ft².
QuadrilateralsThere are different types of quadrilaterals, for example: square, rectangle, rhombus, trapezoid and parallelogram. Each type is defined accordingly to its length of sides and angles. For example, the opposite sides of a parallelogram are equal and parallel.
Parallelogram AreaYou can find the parallelogram area from two formulas:
A=b * h , where b=base and h=height;A= a*b* sin(Θ), where a=side 1, b=side 2 and Θ=angle between the sides;The question gives: the length of both sides (170 ft and 650 ft) of the parallelogram and the angle between these sides (113°).
Thus, you can apply the formula: A= a*b* sin(Θ). Therefore:
A= 170 * 650* sin (113°)
A=101716 ft²
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anyone know the awnser to this?
Answers
Answer:
61
Step-by-step explanation:
straight line = 180 degree
to find the measure of angle QPR,
subtract 119 from 180
=> 180-119
=> 61
angle QPR = 61 degree
Answer:
Hope the picture will help you!!
i need help 9th grade math
Answers
Answer:
(f + g)(x) = x + 5
Explanation:
f(x) = 2x + 3
g(x) = 3x + 2
===========
(f + g)(x)f(x) + g(x)2x + 3 + 3x + 25x + 5Answer:
[tex](f+g)(x)=5x+5[/tex]
Step-by-step explanation:
Given:
[tex]f(x)=2x+3[/tex]
[tex]g(x)=3x+2[/tex]
[tex]\begin{aligned}(f+g)(x) & =f(x)+g(x)\\ & = (2x+3)+(3x+2)\\ & = 2x+3+3x+2\\ & =2x+3x+3+2\\ & = 5x + 5\end{aligned}[/tex]
A public library has an aquarium in the shape of a rectangular prism. The base is 6 feet by 2.5 feet. The height is 4 feet. How many square feet of glass were used to build the aquarium? (The top of the aquarium is open.)
Answers
Answer:
83 ft^2
Step-by-step explanation:
6*2.5 (bottom)= 15
4*2.5*2 (one set of sides)= 20
4*6*2 (another set of sides)= 48
Add, 83 ft^2
Help on number 8 please!
Answers
Answer:
ab/3
Step-by-step explanation:
I don't really know how to explain.
Μα†hway
hope this helps!
= (-1/-3)(a2/a)(b2/b)(c2/c2)
=(1/3)[a^(2-1)][b^(2-1)][c^(2-2)]
= (1/3)(a)(b)(1)
=ab/3
Answer = ab/3
May you help me please I am stressed and struggling
Answers
Answer:
The answer would be 2x+4+3x+4, 5x+8, and 2(2x+4) +x
Step-by-step explanation:
Step 1. Simplify 2x+4+3x+4 into 5x (combine the x's) +8 (combine the 2 4's)
Step 2. Simplify 2(2x+4)= x into 4x + 8 + x (<-- distribute the 2 to the 2x and 4) and 4x+x would equal 5x meaning 5x + 8.
I hope that this helps! :)
Can someone help???????
Answers
Answer:
8x-3y-24
Step-by-step explanation:
[tex] \frac{3}{4} y = 2x - 6 \\ \\ \\ 3y = 4(2x - 6) \\ \\ 3y = 8x - 24 \\ \\ 8x - 3y - 24 = 0 \\ \\ \\ is \: the \: required \: equation[/tex]
Latoya used 4 gallons of ginger ale, 1 gallon of orange juice, and 1 gallon of pineapple juice to make punch for her brother's birthday party.
How many cups of punch will Latoya have for her brother's birthday party?
Answers
Answer: 96 cups
Step-by-step explanation: A gallon holds 128 ounces there were 6 gallons used to make the punch. 128x6= 768 ounces
A cup holds 8 ounces so you would do 768/8 and that would give you 96 cups
1 gallon = 16 cups
6•16= 96
96 cups for brothers birthday party
Can someone please help me? :(
Answers
Answer:
A
Step-by-step explanation:
4ft*4 1/3ft*3 1/3ft = 57 7/9 ft3
There are letter tiles in a bag. Four A’s, five B’s, six C’s and five D’s. You select one tile, replace it, and then draw another.
P( A and A)=______
A. 2/5
B. 1/25
C. 4/20
D. 1/20
Answers
Answer:
[B] 1/25
Step-by-step explanation:
From the given:
There are letter tiles in a bag. Four A’s, five B’s, six C’s and five D’s. You select one tile, replace it, and then draw another.
To Find:
P( A and A)=______
Solution:
Since it given that:
Four A’s, five B’s, six C’s and five D’s.
Thus we have:
A,A,A,A,B,B,B,B,B,C,C,C,C,C,C,D,D,D,D,D
Total number of letters tiles = 20
Probability of selecting A = 4/20 = 1/5
Probability of selecting A = 4/20 = 1/5
P( A and A)= 1/5 × 1/5 = 1/25
Thus, the answer is [B] 1/25
Kavinsky
A parking lot occupies a rectangular space measuring 120m by 80m. The owner wants to increase the parking lot by 25%. What would be the new dimension of the parking lot?
Answers
Answer:
150metres by 100metres
Tim drew a triangle with one angle of measure 40 degrees and the other 70 degrees. Which triangle did Tim draw?
Answers
Answer:
Isocoles (I can't spell)
Step-by-step explanation:
180-70=110. 110-40=70.
Two angles are 70
Time drew the isosceles triangle because the two angles are equal.
Given that,
Tim drew a triangle with one angle of measure 40 degrees and the other 70 degrees. which triangle Tim drew is to be determined.
A triangle with two sides and two congruent angles is called an isosceles triangle.
Here,
Let one of the angles be x
Sum of angles = 180
40 + 70 + x = 180
x = 70
As two of the angle become equal the triangle becomes an isosceles triangle.
Thus, Time drew the isosceles triangle because the two angles are equal.
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The sum of consecutive positive integers is 93.find number
Answers
Answer:
46 and 47.
Step-by-step explanation:
Let the 1st number be x,
Now,
or, x + x = 92
or, 2x = 92
or, x = 46
Again,
Let the 2nd number be x + 1
And,
x + 1 = 46 + 1 = 47.
Doctor Jones starts an appointment every 20 minutes.
Doctor Warholm starts an appointment every 35 minutes.
The first appointment for both doctors starts at 8.30 am.
What is the next time that they have an appointment start at the same time?
Answers
The first appointment for both doctors starts at 8:30am.
To find:Next appointment that they start at same time.
Solution:For the same time same time take LCM of 20 and 35.
20= 2x2x5
35= 5×7
hcm (20,35) = 2X2X5X7 = 140
They will take appointment after 140 minutes. 1.e. 2 hours 20 minute.
so, next appoitment will be 10:50a.m.
The next time that they have an appointment start at the same time is at 10:50 a.m.
How do we calculate the appointment time start?We are given that the first appointment for both doctors starts at 8:30am while the Next appointment also started at same time but Doctor Jones starts his every 20 minutes while Doctor Warholm starts his every 35 minutes.
First stepFor the same time, take LCM of 20 and 35.
20 = 2 * 2 * 5
35 = 5 * 7
Second stepHCM (20, 35) = 2 * 2 * 5 * 7
HCM (20, 35) = 140
Hence, it will take the appointment after 140 minutes which equals to 2 hours 20 minute.
Now, from 8.30 am, the addition of the 2 hours 20 minute gives us 10:50 a.m which is the next time that they have an appointment start at the same time.
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What is the measure of angle 8?
Answers
Answer:
32
Step-by-step explanation:
First, let's find angle 6 as we will need that to find angle 8.
angle 6 = 180 - 122 = 58(straight line angles equal to 180)
now sum of angles in a triangle = 180
so angle 8 = 180 - 90 - 58
= 32
Hope it helps:)
Answer:
32°
Step-by-step explanation:
We know that the exterior angle of the triangle is equal to the sum of the interior opposite angles.
Therefore,
< 1 + < 8 = 122°
Also, given that,
<1 = 90°
So,
< 1 + < 8 = 122°
90° + < 8 = 122
< 8 = 32°
Which graph would be produced by k*f(x) if f(x)=x squared k
x= -1/2
Answers
Answer:The square below represents one whole.
What percent is represented by the shaded area?
Step-by-step explanation:
A banner is made of a square and a semicircle. The square has side lengths of 26 inches. One side of the square is also the diameter of the semicircle. What is the total area of the banner? Use 3.14 for π.
Answers
Answer:
941.33 in^2.
Step-by-step explanation:
The area of a semicircle = 1/2 area of circle = 1/2 * 3.14 * radius^2.
The radius = 1/2 * 26 = 13 in.
Total area = area of square + area of semicirccle
= 26^2 + 1/2 * 3.14 * 13^2
= 676 + 265.33
= 941.33 in^2.
+
II
alu
What is the value of x in the equation
x-2
3
1) 4
2) 6
3) 8
4) 11
Answers
[tex]\dfrac{x-2}3 +\dfrac 16 = \dfrac 56 \\\\\implies \dfrac{x-2}3 = \dfrac 56 - \dfrac 16\\\\\implies \dfrac{x-2}3= \dfrac 46\\ \\\implies \dfrac{x-2}3 = \dfrac 23\\\\\implies x -2=2\\\\\implies x =2+2 = 4\\\\\text{Hence, the value of x is 4.}[/tex]
Evaluate arithmetic series:-
Step-by-step answer, please!
Answers
Let's see
[tex]\\ \rm\Rrightarrow {\displaystyle{\sum^{275}_{k=1}}}(-5k+12)[/tex]
[tex]\\ \rm\Rrightarrow (-5(1)+12)+(-5(2)+12)\dots (-5(275)+12)[/tex]
[tex]\\ \rm\Rrightarrow 7+5+3+2+1+\dots -1363[/tex]
So
a=7l=-1363n=275Sum:-
[tex]\\ \rm\Rrightarrow S_n=\dfrac{n}{2}[a+l][/tex]
[tex]\\ \rm\Rrightarrow \dfrac{275}{2}(7-1363)[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{275}{2}(-1356)[/tex]
[tex]\\ \rm\Rrightarrow 275(-678)[/tex]
[tex]\\ \rm\Rrightarrow -186450[/tex]
Answer:
-186,450
Step-by-step explanation:
Sum of arithmetic series formula
[tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]
where:
a is the first termd is the common difference between the termsn is the total number of terms in the sequence[tex]\displaystyle \sum\limits_{k=1}^{275} (-5k+12)[/tex]
To find the first term, substitute [tex]k = 1[/tex] into [tex](-5k+12)[/tex]
[tex]a_1=-5(1)+12=7[/tex]
To find the common difference, find [tex]a_2[/tex] then subtract [tex]a_1[/tex] from [tex]a_2[/tex]:
[tex]a_2=-5(2)+12=2[/tex]
[tex]\begin{aligned}d & =a_2-a_1\\ & =2-7\\ & =-5\end{aligned}[/tex]
Given:
[tex]a=7[/tex][tex]d=-5[/tex][tex]n=275[/tex][tex]\begin{aligned}S_{275} & = \dfrac{275}{2}[2(7)+(275-1)(-5)]\\& = \dfrac{275}{2}[14-1370]\\& = \dfrac{275}{2}[-1356]\\& = -186450\end{aligned}[/tex]
Question 3 options: lily is building a picture frame. the larger rectangle represents the frame. the smaller rectangle represents the picture. the shaded area represents the 2-inch border around the picture. what is the area of the border, or the shaded region, of this figure in square inches?
Answers
The area of the shaded region of this figure which can be calculated by the difference of the larger region from the smaller region would be 104 in.²
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
Area of a larger rectangle
= Length × Width
= 18 × 12
= 216 in.²
Area of the smaller rectangle
Length = 12 - 2 - 2 = 8 in.
Width = 18 - 2 - 2 = 14 in.
= Length × Width
= 8 × 14
= 112 in.²
Area of the shaded region = Area of a larger rectangle - Area of the smaller rectangle
= 216 - 112
= 104 in.²
Hence, the area of the shaded region of this figure is 104 in.²
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What is the radius and diameter of 13cm
Answers
Answer:
Radius = 6.5
diam = 13
Step-by-step explanation:
diameter is already stated
radius is half of the diameter
Question 4
Which shows the solution set to the
inequality below?
2x + 35-5
Answers
Answer:x=-15
Step-by-step explanation:
2x+35-5=0
-35 +5. -35 +5
2x=-30
/2 /2
X=-15
I'LL GIVE BRAINLIEST AND 100 POINTS| Which answer choice correctly completes the sentence? When solving a story problem, the first step is to
A. guess the correct answer and then check to see if you are correct.
B. write the facts, organize your thoughts and then define your strategy.
C. identify what you need to do to solve the problem.
D. read the problem carefully and find the question.
Answers
Answer:
D read the problem carefully and find the question. :)
Have an amazing day!!
Please rate and mark brainliest!!
option C and D (C is actually)
So steps are
First read the story problem completelyThen find out what do you need to solve and what else you have givenThen solve that outIII
Finding a missing side length given two similar triangles
AABC and APQR are similar. Find the missing side length.
B
AA
30
48
5
8.
А
36
СР
?
R
Answers
Answer:
6
Step-by-step explanation:
These are similar triangles, which means the side lengths are proportional!
30:5=6, so there is a scale factor of six.
36/6 is six!
Answer:
PR = 6
Step-by-step explanation:
since the triangles are similar then the ratios of corresponding sides are in proportion , that is
[tex]\frac{AC}{PR}[/tex] = [tex]\frac{BC}{QR}[/tex] ( substitute values )
[tex]\frac{36}{PR}[/tex] = [tex]\frac{48}{8}[/tex] = 6 ( multiply both sides by PR )
6 PR = 36 ( divide both sides by 6 )
PR = 6
Write a recursive formula for a n a n , the n th n th term of the sequence 6 , − 12 , 24 , . . .
Answers
Answer:
See below ↓↓
Step-by-step explanation:
a₁ refers to the first term of the sequence.
That is clearly : a₁ = 6
The formula for the nth term is :
aₙ = a₁rⁿ⁻¹Common ratio (r) = quotient of consecutive termsr = -12/6 = -2Therefore, the nth term is :
aₙ = 6(-2)ⁿ⁻¹What are the domain, range, and asymptote of h(x) = (1.4)x + 5?
domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5
domain: {x | x > 5}; range: {y | y is a real number}; asymptote: y = 5
domain: {x | x > –5}; range: {y | y is a real number}; asymptote: y = –5
domain: {x | x is a real number}; range: {y | y > –5}; asymptote: y = –5
Answers
Answer:
The answer is
→ A.) Domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5
Step-by-step explanation:
For every real x, (1.4)x is always positive, therefore the range would be y > 0, but (1.4)x + 5 adds 5 to every integer in the original range. This suggests that the real range is y | y > 5, or all positive values bigger than 5.
This is the sole choice for the range that A has, therefore, it should. (The other two characteristics hold true, as can be any real integer and lim h(x) = 5 x, implying that y = 5 is a horizontal asymptote of h(x).)
Therefore, A.) Domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5 is your answer.
Hope this helped! :^)
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Submitted on 4/20/2022 at 1:37 PM
(To avoid plagarism, by users whom decide to copy.)
Domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5. Option A is correct.
The given function is [tex]h(x)=1.4^x+5[/tex].
The domain of a function is the set of all valid inputs (x-values) for which the function is defined.
In this case, there are no restrictions on the base (1.4) raised to any real exponent, and thus, the domain includes all real numbers.
Therefore, Domain: {x | x is a real number}
The range of a function is the set of all possible output (y-values) that the function can produce.
In this case, the base (1.4) raised to any real exponent will always be positive, and when you add 5 to a positive number, you get values greater than 5.
Hence, the range consists of all real numbers greater than 5.
Therefore, Range: {y | y > 5}.
An asymptote is a line that a function approaches but never crosses.
For this exponential function, there are no vertical asymptotes since it is defined for all real numbers.
However, there is a horizontal asymptote. As the value of x approaches negative or positive infinity, the function h(x) will approach 5.
Therefore, Asymptote is y = 5.
Hence, option A is correct, domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5.
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solve the following equation 6x+2+56=180
Answers
Answer:
20.3
Step-by-step explanation:
6x+2+56=180
-2 -56 -58
6x= 122
/6 /6
x=20.3
An archer shoots an arrow up towards a target located on a hill, which is shown by the graph.
A graph of a line and a parabola intersecting at (46.5, 9.3).
Which set of equations best models the point of intersection of the arrow and the target?
y = 0.006x2 + 0.35x + 6 and y = x
y = –0.006x2 + 0.35x + 6 and y = –x
y = 0.006x2 + 0.35x + 6 and y = 0.2x
y = –0.006x2 + 0.35x + 6 and y = 0.2x
Answers
As no graph is shown some basic information of parabola can be helpful
As it's. a hill hence the parabola facing downwardsa is negativeAnd a coordinate is given check it whether it is equal to second part of options
(46.5,9.3)We get
y≠xy≠-xy=0.2xLast two are radar now
As a must be negative option D has such similarities.
Option D is correct (Assumption)Answer:
[tex]\sf y = -0.006x^2 + 0.35x + 6\quad and\quad y = 0.2x[/tex]
Step-by-step explanation:
As the archer shoots the arrow up, the trajectory of the arrow can be modeled as a parabola that opens downwards. Therefore, this is a quadratic equation with a negative leading coefficient.
From inspection of the answer options, the path of the arrow is :
[tex]y=-0.006x^2+0.35x+6[/tex]
This means the options for the line equation are [tex]y=-x[/tex] and [tex]y=0.2x[/tex]
We are told that the point of intersection of the line and the parabola is at (46.5, 9.3). As both the x-value and y-value are positive, the equation of the line must be [tex]y=0.2x[/tex]
To confirm, substitute [tex]x=46.5[/tex] into the equation:
[tex]\implies y=0.2(46.5)=9.3[/tex]
1. Find the lateral area and surface area of the given prism. Round your
answer to the nearest whole number
Answers
Answer:
LA = 720 , SA = 780
Step-by-step explanation:
find the missing length of the triangle using Pythagoras then use this value (8) to find the surface area of the sides and the triangle.Add up the values.
Answer:
Step-by-step explanation:
To find the lateral surface area of triangular prism, first we need to know the three sides of the triangle. Here, one side is missing and we have to find that using Pythagorean theorem. Let the unknow side of the triangle be 'c'
Pythagorean theorem,
15² + c² = 17²
225 + c² = 289
c² = 289 - 225
c² = 64 = 8*8
c = 8 in
a = 17 in & b = 15 in & h = 18 in
[tex]\boxed { \text{Lateral surface area = (a + b + c)*h }}[/tex]
= ( 17 + 15 + 8 ) * 18
= 40 * 18
= 720 in²
[tex]\boxed { \text{total surface area = LSA + 2* area of base triangles}}[/tex]
[tex]\text{ area of base triangles = 2* $ \dfrac{1}{2}*base*height $}[/tex]
= base * height
= 8 * 15
= 120 in²
Total surface area = 720 + 120
= 840 in²