Answers
12 divided by 2 = 6
Area= 6in^2
Answer:
a=4, b=5, c=3
=4+5+3/2
=12/2
=s=6
Now,
we have,
√s(s-a)(s-b)(s-c)
√6(6-4)(6-5)(6-3)
√6×2×1×3
√36
=6
Related Questions
How many 0.75-pound packages can you make with 4.5 pounds of sunflower seeds?
Answers
Answer:
6
explanation:
divide the 4.5 pounds of sunflower seeds by the 0.75 pounds of sunflower seeds
4.5/0.75= 6
Answer:
6 because 4.5 divided by 0.75 equals 6.
Step-by-step explanation:
State which property you would use to solve 8X = 56
Answers
X = 7 divid both sides
8x = 56
8x/8 and 56/8 .
Jaxon will make a plywood table shaped like a rectangular prism that is 2 feet tall and 4 feet long. Once the table is finished, it will be powder coated to make it waterproof. Powder coating costs $0.50 per square foot and Jaxon can only spend $29. What is the maximum width Jaxon can build the table?
A. 8.3
B. 1.1
C. 7.2
D. 3.5
Answers
Using the surface area of a rectangular prism, we can conclude that the maximum width Jaxon can build the table is (D) w = 3.5 ft.
What is a rectangular prism?The term "cuboid" can also refer to a rectangular prism. Although it looks like a cube, it is not one. All of its characteristics are the same as a cube's, with the exception that its faces are rectangles as opposed to a cube's square faces. A cuboid is a six-sided solid known as a hexahedron in geometry. Quadrilaterals make up its faces. Cuboid means "like a cube," in the sense that a cuboid can be converted into a cube by varying the length of its edges or the angles between its faces.So, the maximum width can be:
To solve this, we need to take all options in confirmation and do a hit-and-trial method to find the perfect length of the width.The formula for the surface area of a rectangular prism: A=2(wl+hl+hw)Where, h = 2 feet and l = 4 feet.
(A) When, width = 8.3 feet
A = 2(wl+hl+hw)=2·(8.3·4+2·4+2·8.3) = 115.6115.6 × $0.50 = $57.8Hence, this option is not correct.
(B) When, width = 1.1 feet
A = 2(wl+hl+hw)=2·(1.1·4+2·4+2·1.1) = 29.229.2 × $0.50 = $14.6Hence, we need to check more options as it is within the budget of $29.
(C) When, width = 7.2 feet
A = 2(wl+hl+hw)=2·(7.2·4+2·4+2·7.2) = 102.4102.4 × $0.50 = $51.2Hence, this option is not correct.
(D) When, width = 3.5 feet
A = 2(wl+hl+hw)=2·(3.5·4+2·4+2·3.5) = 5858 × $0.50 = $29Hence, this is the perfect option.
Therefore, using the surface area of a rectangular prism, we can conclude that the maximum width Jaxon can build the table is (D) w = 3.5 ft.
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What is x I need help please!
Answers
Answer:
42
Step-by-step explanation:
We set it equal since the equations are equivalent
2x-27=x+15
2x=x+42
X=42
Hopes this help please mark brainliest
hope this helps :))
Find the coordinates of G if F(1, 3.5) is the midpoint of GJ and J has coordinates
(6,-2).
Answers
The coordinates of g are (-4, 9).
What are coordinates?A pair of numbers that represent a point's position on a coordinate plane using the horizontal and vertical distances between the two references. Usually represented by the pair of x and y values (x,y). A coordinate system can be used to determine a point's exact location on the globe. A coordinate is a pair of numbers that describes the location of a point in a coordinate system. The distance between the point and the origin, which is a fixed point of reference, is represented by each of these values.So, the midpoint is given as (1, 3.5).
The coordinates of J are (6, -2).The midpoint is between the letters G and J.Let, G's coordinates are (x, y)Then,
(1, 3.5) = [(6 + x)/2, (-2 + y)/2]So,
1 = (6 + x)/22 = 6 + xx = 2 - 6x = -4And,
3.5 = (-2 + y)/23.5 × 2 = -2 + y7 = -2 + yy = 7 + 2y = 9Therefore, the coordinates of g are (-4, 9).
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tickets for a raffle cost $ 5. there were 832 tickets sold. one ticket will be randomly selected as the winner, and that person wins $ 1600 and also the person is given back the cost of the ticket. for someone who buys a ticket, what is the expected value (the mean of the distribution)?
Answers
The most appropriate choice for expectation will be given by-
Expected value for someone who buys the ticket = $[tex](-1591.2)[/tex]
What is expectation?
At first it is important to know about probability of an event.
Probability gives us the information about how likely an event is going to occur
Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.
Probability of any event is greater than or equal to zero and less than or equal to 1.
Probability of sure event is 1 and probability of unsure event is 0.
Suppose x is a random variable with the probability function f(x). suppose
[tex]x_1. x_2,........,x_n[/tex] are the values corrosponding to the actual occurance of the event and [tex]p_1, p_2.,,,, p_n[/tex] be the corrosponding probabilities.
Expectation is given by the formula [tex]p_1x_1+p_2x_2+...+p_nx_n[/tex]
Here,
Total number of tickets = 832
Number of prized tickets = 1
Probability of winning a ticket = [tex]\frac{1}{832}[/tex]
Probability of losing a ticket = [tex]\frac{831}{832}[/tex]
Gain of winning = $(1600 - 5) = $1595
Loss of losing = $(5 - 1600) = -$1595
Expected value for someone who buys the ticket
[tex]1595 \times \frac{1}{832} + (-1595)\times \frac{831}{832}[/tex]
[tex]1595\times(\frac{1-831}{832})\\-1595\times \frac{830}{832}\\[/tex]
$[tex](-1591.2)[/tex]
Expected value for someone who buys the ticket = $[tex](-1591.2)[/tex]
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Calculate the rise and run to find the slope of each line! Please help me!!!
Answers
Answer:
7/5 I believe, hope this helps!
if a television screen with a length-to-height ratio of 16:9 has an area of 576 square inches, what is its perimeter?
Answers
The perimeter of television is = 100 inches
What is mensuration ?The study of measuring geometric shapes and their qualities such as length, volume, shape, surface area, lateral surface area, and so on is known as mensuration. Mensuration will be covered in fundamental mathematics.
Calculationlet the length be 16x and width be 9x
area given = 576 sq. inches
16x * 9 x = 576
144 [tex]x^{2}[/tex] = 576
x = 24/12
x = 2
length = 32
width = 18
perimeter = (32 + 18)*2 =100 inches
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Pls help its for my finals!!
Answers
Finding the numeric value of the function, the time it will take to read a book of 218 pages is given by:
196.2 minutes.
Finding the numeric value of a function or of an expressionTo find the numeric value of a function, we replace each instance of the variable in the function or in the expression by the desired value in which we want to find the numeric value.
In the context of this problem, the function is given by:
y = 4.5x/5
In which the meaning of the variables is given by:
x is the number of pages of the book.y is the time in minutes it takes to read the book.For a book of 218 pages, the time is found calculating the numeric value at x = 218, that is, replacing the lone instance of x in the function by 218, hence it is given by:
y = 4.5 x 218/5 = 196.2 minutes.
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Coordinates of a parallelogram are P(0,2) Q(4,7) R(8,4) S(4,-1)
what is the area of the parallelogram?
Answers
Answer:
32 square units
Step-by-step explanation:
A plot of the points shows that PQRS is a rectangle.
The length of this is the distance of the segment PQ = distance of segment RS = 6.4 units
The width QR = width PS = 5 units
The area is 5 x 6.4 = 32 square units
Lengths are calculated as follows
Finding length of PQ using distance formula:
[tex]\overline{PQ} = \sqrt{(4-0)^2 + ((7-2)^2}\\\\= \sqrt{4^2 + 5^2}\\\\= \sqrt{16 + 25}\\\\= \sqrt{41}\\\\= 6.4\\[/tex]
Finding length of QR using distance formula:
[tex]\overline{QR} = \sqrt{8-4)^2 + (4 - 7)^2}\\\\= \sqrt{4^2 + (-3)^2}\\\\= \sqrt{16 + 9}\\\\=\sqrt{25}\\\\= 5\\[/tex]
86995.4991839 to the nearest ten
Answers
Answer:
86995.5
Step-by-step explanation:
86995.499184 86995.49918
Select the correct answer.
A farmers' group conducted an experiment to determine which fertilizer is better for plant growth. One fertilizer contains a urea supplement, while the other does not contain the urea supplement. For the experiment, they randomly selected 20 plants of the same species growing in their area. The farmers tested the urea-enhanced fertilizer on 10 plants and the non-urea fertilizer on the other 10 plants.
After three months, they reported their findings as shown.
A bar graph showing the Plant growth report with months on the X-axis and the Number of plants with above-average growth on the Y-axis. The Blue bar is for with supplements and the green without supplements.
What can be concluded from the farmers' data?
A.
There is not enough information to draw any conclusions from the data.
B.
The fertilizer without the urea supplement is more effective than the fertilizer with it.
C.
Both types of fertilizer are equally effective.
D.
The fertilizer with the urea supplement is more effective than the fertilizer without it.
Answers
it D that the fertilizer with the urea supplement is more effective than the fertilizer without it.
A histogram is the way of representation of data that is utilized to appear the frequency distribution utilizing the rectangle comparable to a bar graph. in order to decide which fertilizer is superior for plant development Farmers conducted a survey consisting of one fertilizer containing an urea supplement, whereas the other does not contain a urea supplement. in which they haphazardly chose 20 plants of the same species developing in their region. ten out of 20 on which the urea-enhanced fertilizer was applied and the rest with the non-urea fertilizer on the other 10 plants. So After three months At just the beginning of the month, 4 plants showed normal development with the urea supplement, whereas as it were 2 plants appeared to this development when urea isn't supplied. for the second month, 7 plants showed normal development with urea supplement, whereas 4 plants appeared this growth when urea isn't supplied and in the last month of the experiment, 5 plants showed over normal development.
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the difference of two numbers is 1. Their sum is 11. what is the smaller number?
Answers
The value of the smaller number is 5
Determining the value of a numberFrom the question, we are to determine the value of the smaller number
Let one of the numbers be x and the other number be y
From the given information,
The difference of two numbers is 1
That is,
x - y = 1
and
Their sum is 11
That is,
x + y = 11
Now, we will solve the equations simultaneously
From the first equation
x - y = 1
x = 1 + y ------------- (3)
Substitute into the second equation
x + y = 11
1 + y + y = 11
1 + 2y = 11
2y = 11 - 1
2y = 10
y = 10/2
y = 5
Substitute the value of y into equation (3)
x = 1 + y
x = 1 + 5
x = 6
Hence, the number is 5
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A tables with no data, showing Number of Cubic Yards, Cost per Cubic Yard, and Total. The first row is Compost. The second row is Topsoil. The third row is Total.
Helena uses a mixture of compost and topsoil in her garden. She purchased a total of 10 cubic yards of compost and topsoil for $180. If compost costs $25 per cubic yard and topsoil costs $15 per cubic yard, how many cubic yards of topsoil did she purchase?
3
4.5
5.5
7
Answers
It is to be noted that the amount of cubic yards of topsoil that Helena purchased is 7 Cubic Yards. (Option D) Here is how we arrived at that answer.
What is the explanation for the above solution?Let the compost purchased be x cubic yards
And the topsoil purchased be y cubic yard
Hence
x+y = 10 .......................................1
Also
The cost incurred in buying compost at a rate of $25 per cubic yard = 25xThe cost incurred in buying topsoil at a rate of $15 per cubic yard = 15yTotal cost incurred = 25x+15y=180
Dividing the whole equation by 5 we get
5x+3y=36 ........................................2
Multiply 1 by 3 and subtract it from 2
5x+3y=36
-
3x+3y=30
2x =6 Solving for x
x = 3
Plug x back into equation 1, and we have
x+y=10, this become
3+y=10 Solving for y, we have
y=10-3
=7
Hence it is correct to state that Helena purchased 7 cubic yards of topsoil.
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Complete the equation of the line through (-1,6) and (7,2)
Answers
The equation of the straight line is 2y - x +3 = 0 .
A straight line's general equation is y = mx + c, wherein m denotes the line's slope and c its y-intercept.
It is the geometry-related straight line equation that is employed the most frequently. A straight line's equation can be expressed in a variety of ways, including point-slope form, slope-intercept form, generic form, standard form, etc. A solid line is a two-dimensional geometric object that can be stretched to infinity on both ends.Let us calculate the slope of the line:
slope = (2-6)/(7-(-1))
m= 1/2
Equation of the line =
y - 2 = 1/2 (x-7)
or, 2y -4 = x - 7
or, 2y - x +3 = 0
Therefore the equation of the line is 2y - x +3 = 0.
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there are four suits: clubs, diamonds, hears and spades, and the following cards appear in each suit: ace, 2, 3, 4, 5,6 ,7, 8, 9, 10, jack, queen, king. a a 7? b. a black card?
Answers
The probability of getting a 7 is 1/13 and a black card is 1/2.
What is a Probability?Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities.A number between 0 and 1 represents the likelihood of an event, with 0 generally denoting impossibility and 1 denoting certainty. It is more likely that an event will occur if its probability is higher.Probability theory, which is widely used in fields of study like statistics, mathematics, science, finance, gambling, artificial intelligence, machine learning, computer science, game theory, and philosophy, has given these ideas an axiomatic mathematical formalization.Given that
A deck of cards contains 52 cards
The total number of 7's are 4 cards
The total number of black cards is 26
A) Probability of getting a 7 = Total number of 7 / Total cards
Probability of getting a 7 = 4/52
Probability of getting a 7 = 1/13
B) Probability of getting a Black card = Total number of Black cards/ Total cards
Probability of getting a Black card = 26/52
Probability of getting a Black card = 1/2
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The probability of getting a 7 [tex]\frac{1}{13}[/tex] and a black card is [tex]\frac{1}{2}[/tex].
What is a Probability?
Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities.
A number between 0 and 1 represents the likelihood of an event, with 0 generally denoting impossibility and 1 denoting certainty. It is more likely that an event will occur if its probability is higher.
Probability theory, which is widely used in fields of study like statistics, mathematics, science, finance, gambling, artificial intelligence, machine learning, computer science, game theory, and philosophy, has given these ideas an axiomatic mathematical formalization.
Given that
A deck of cards contains 52 cards
The total number of 7's are 4 cards
The total number of black cards is 26
A) Probability of getting a 7 = Total number of 7 / Total cards
Probability of getting a 7 = 4/52
Probability of getting a 7 = 1/13
B) Probability of getting a Black card = Total number of Black cards/ Total cards
Probability of getting a Black card = 26/52
Probability of getting a Black card = 1/2
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can someone help me please?
Answers
The values of the variables are :
10. x = 8 and y = 9
11. x = 20 /9 and y = - 7/ 9
12. x = 3.08 and y = 4x = 12.32
10 . Given equations are ; 7x -5y = 11 ------- equation 1
and y = x + 1
On substituting this value in equation 1
we get 7x - 5 ( x + 1) = 11
7x - 5x - 5 = 11
2x = 16
x = 8 and thus y = 8 + 1 = 9
11. Given equations are : 5x - 4y = 22
x = y+ 3
On again substituting the values we get
5y + 15 - 14 y = 22
- 9 y = 7
y = - 7/ 9 and x = 20 / 9
12. Given equations are 3x + 8y = 108
and y = 4x
On again substituting equations we will get
3x + 32x = 108
35 x = 108
x = 108 / 35
x = 3.08 and y = 4x = 12.32
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Can a scale drawing have two scale factor????? Pls I need answers
Answers
Dimensional analysis can be used by many professions, not just math and science fields.
A small herd of cattle eats 14 bales of hay in two weeks. How many bales will this herd eat in a
year?
What are you looking for?
What do you know?
Answers
heared about meet, wxa szcx ewn
I need help, please!!! Please help I need the answer!!!
Answers
The original price of the toy is p.
An easier way to understand this problem is : The original price is 1, or 100%. Now, it's reduced by 15%, so the new price is 100% - 15% = 85%.
85% can be converted to 0.85, or 85/100. Therefore, the answer is 0.85p
What is the equation of the line that passes through the point (2,-1) and has a slope of 1?
Answers
Answer:
y = x - 3
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = 1 , then
y = x + c ← is the partial equation
to find c substitute (2, - 1 ) into the partial equation
- 1 = 2 + c ⇒ c = - 1 - 2 = - 3
y = x - 3 ← equation of line
Jug A has 2.17 litres of water and jug B has 0.79 litres less than jug A. Find the total volume of water in the two jugs
Answers
The total volume of water in the two jugs is 3.55 liters.
How to find the total volume?Given,
Jug A has 2.17 liters of water
Jug B has 0.79 liters less than jug A.
Solution:
Since jug B has 0.79 liters less than jug A.
Jug B = 2.17 - 0.79
= 1.38 litres
The total volume of water in the two jugs = 2.17 liters + 1.38 liters
The total volume of water in the two jugs = 3.55 liters
Therefore, the total volume of water in the two jugs is 3.55 liters.
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Using the chart above, find the total amount and amount of Interest pald in the following compound Interest problems.
$900 at 6%, for 10 years.
Compounding Total Amount Interest Amount
annually
$
semiannually $
quarterly
$
>
V
$
$
$
Answers
Total amount will be $1520.53(approx.)
What is Compound Interest?
Compound interest is calculated by multiplying the initial loan amount, or principal, by the one plus the annual interest rate raised to the number of compound periods minus one.The formula is,
A = P(1 + r/n)^(n*t)
Given,
principle P = $900
rate r = 6%
time t = 10 years
Put these values in formula, i.e, A = P(1 + r/n)^(n*t)
A = 900 * ( 1 + 6/100)^10
= 900 * (106/100) ^ 10
After solving we get, A = $1520.53
Therefore, the total amount will be $1520.53(approx.)
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Use the drop-down menus to complete each equation so the statement about its solution is true.
Answers
You have not provided the contents of any of the drop-down menus, so we cannot say for certain what the answers should be--except in the case of "infinitely many solutions.
For no solution,2x + 9 + 3x + x = 6x
For one solution,2x + 9 + 3x + x = 15
For infinitely many solutions,2x + 9 + 3x + x = 6x + 9
Based on the given conditions,
(1) No solutions :
There will be no solutions when the left side is inconsistent with the right side:
2x + 9 + 3x + x = _ x + _
We can sum of difference,
6x + 9 = 6x
Subtract 6x from both sides,
6x - 6x = -9
9 = 0
9 = 0 which is absurd and hence the equation has no solution.
(2) One solutions :
There will be one solution when the left side and right side are not inconsistent and not the same.
2x + 9 + 3x + x = 15
6x + 9 = 15
Subtract 9 from both sides.
6x = 6
Divide both sides by 6.
x = 1 and this is the only solution.
(3) Infinity solutions :
There will be an infinite number of solutions when the equation is true for any value of x. This will be the case when the left side and right side are identical.
2x + 9 + 3x + x = 6x + 9
6x + 9 = 6x + 9
Subtract 6x from both sides,
9 = 9, both sides are balanced which means, the equation has infinitely many solutions.
Therefore,
For no solution,2x + 9 + 3x + x = 6x
For one solution,2x + 9 + 3x + x = 15
For infinitely many solutions,2x + 9 + 3x + x = 6x + 9
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Find the equation of the line that is perpendicular to y=6x-2 and contains the points (6,-2). WILL NAME BRAINLIEST TO WHOEVER GIVES A THOROUGH STEP-BY-STEP!!!!
Answers
The equation of the line perpendicular to y = 6x -2 and passes through (6, -2) is y = - 1 / 6 x - 1
How to find the equation of a line?The equation of a linear graph can be represented in slope intercept form.
Therefore,
y = mx + b
where
m = slopeb = y-interceptTherefore, the equation of the line is perpendicular to y = 6x -2 and passes through (6, -2).
Perpendicular lines follows the rule below:
m₁ m₂ = -1
6m₂ = -1
m₂ = - 1 / 6
Therefore, let's find the y-intercept using (6, -2)
y = - 1 / 6 x + b
-2 = - 1 / 6 (6) + b
- 2 + 1 = b
b = -1
Therefore, the equation of the line is y = - 1 / 6 x - 1
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two angles are complementary. The measure of the larger angle is 10 greater than 9 times the measure of the smaller angle. Find the measure of each angle.
Answers
Two angles are complementary. The measure of the larger angle is 10 greater than 9 times the smaller angle, so the measure of both angles will be 8° and 82°.
What are complementary angles?The two angles' complement and supplement are determined by the sum of their measurements. The two angles are said to be complimentary if their combined measurement equals that of a straight angle.
According to the question, the equation will form :
x = 9x + 10 (1)
As we know that for complementary angles,
x + y = 90°
9y +10 + y = 90°
10y = 80°
y = 8°
Substitute this value in equation (1)
x = 9(8) + 10
x = 82°.
Hence, the two angles are 8° and 82° respectively.
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question 8 (10 points)
Answers
a: 2, 3, 10, and 12
y: 2/3, 1, 10/3, and 4
Constant of proportionality:
Equation: y =
Answers
Constant of proportionality : [tex]\frac{1}{3}[/tex]
Equation: y = ka
How are the values calculated?
a: 2, 3, 10, and 12
y: 2/3, 1, 10/3, and 4
Let the constant of proportionality = k
If x and y are directly proportional ,
We know , k = [tex]\frac{y}{x}[/tex]
Here, k = [tex]\frac{y}{a}[/tex]
Considering y = 2/3 and a =2
k = [tex]\frac{2}{3*2}[/tex] = [tex]\frac{2}{6}[/tex] = [tex]\frac{1}{3}[/tex]
Thus, the constant of proportionality ( k) = [tex]\frac{1}{3}[/tex]
The equation y is given by ,
y = ka
Let us verify,
For k = 1/3 and a = 12
[tex]y=\frac{1}{3} *12\\\\y=4[/tex]
Thus the equation is y = ka
What is constant of proportionality?
The constant value of the ratio between two proportional values is known as the constant of proportionality. When the ratio or product of two changing quantities gives a constant, the two are said to be in a relation of proportionality. The type of proportion between the two specified variables affects the constant of proportionality's value. The formula y = kx can be used to determine the value of "k" in a direct proportionality. Direct proportionality follows that k = y/x.To learn more about constant of proportionality, refer:
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Which of the following is an advantage to using tables?
OA. Tables can help to see patterns in data.
B. Tables make the most difficult problems much easier.
C. All problems require tables to solve them.
Answers
Tables can help to see patterns in data. Tables make the most difficult problems much easier. These are the advantage to using tables.
What is the use of tables in statistic?The reader can immediately examine the results by using tables to organize data that is too complex or detailed to be fully described in the text. By omitting numerical data from the text, they can be used to highlight trends or patterns in the data and to improve the readability of manuscripts. A table is a way to organize information or data, usually in rows and columns but sometimes with more complicated structures. In research, communication, and data analysis, tables are frequently employed. Large amounts of numerical or statistical data can be efficiently and effectively represented using scientific tables and graphs. In contrast to reading a verbose description of the information, readers are frequently drawn to tables and figures because they view them as being easier to understand.
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angle c and d are complementary. the measure of angle d is 25 degrees greater than the measure of angle c. what is the measure of each angle?
Answers
90-25=65
65/2=32.5
32.5+25=57.5
32.5+57.5=90
