The coordinates of point A′ are (4.5, 3), the answer is A′(4.5, 3).
What is triangle ?
A triangle is a polygon with three sides and three angles. It is a two-dimensional figure that is formed by connecting three non-collinear points. The sum of the angles in a triangle is always 180 degrees, and the side opposite to the largest angle is the longest side of the triangle, while the side opposite to the smallest angle is the shortest side.
According to given information :In this problem, we are given a triangle ABC with vertices at A(3, 2), B(2, −1), C(−2, 1), and we are asked to dilate it using a scale factor of 1.5 to create triangle A′B′C′.
Dilation is a transformation that changes the size of a figure but not its shape. To dilate a figure, we multiply the coordinates of each point by a scale factor. In this case, we are given a scale factor of 1.5, so we will multiply each coordinate of triangle ABC by 1.5 to get the coordinates of triangle A′B′C′.
To find the vertex of point A′, we need to apply the dilation to the coordinates of point A(3, 2). Multiplying the x-coordinate by 1.5, we get 1.5 × 3 = 4.5. Multiplying the y-coordinate by 1.5, we get 1.5 × 2 = 3.
Therefore, the coordinates of point A′ are (4.5, 3), the answer is A′(4.5, 3).
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The probability of a student taking a statistics class is 0.83, and the probability of a student taking a calculus class and a
statistics class is 0.66. What is the probability of a student taking a calculus class given that the student takes a statistics
class?
Round your answer to three decimal places.
Answer:
Step-by-step explanation:
We can use the conditional probability formula to find the probability of a student taking a calculus class given that the student takes a statistics class:
P(calculus | statistics) = P(calculus and statistics) / P(statistics)
We are given that P(statistics) = 0.83 and P(calculus and statistics) = 0.66.
Substituting the values we have:
P(calculus | statistics) = 0.66 / 0.83
Simplifying the fraction:
P(calculus | statistics) = 0.795
Therefore, the probability of a student taking a calculus class given that the student takes a statistics class is 0.795. Rounded to three decimal places, the answer is 0.795.
a candidate is contesting for both national and provincial seats.
(A)what is the probability that he'll win both seats.
(B)what is the probability he'll loose both seats.
(C)what is the probability he'll win one seat.
A. The probability that he'll win both seats is 0.48.
B. The probability he'll loose both seats is 0.52.
C. The probability he'll win one seat is 0.92.
What is probability?The probability of an event is calculated using the mathematical notion of probability. We can only use it to determine the likelihood that an event will occur. On a scale from 0 to 1, where 0 denotes impossibility and 1 denotes a specific occurrence.
We are given that a candidate is contesting for both national and provincial seats.
Event A = Winning national seat
Event B = Winning provincial seat
A. The probability that he'll win both seats is
P(A) × P(B) = 0.8 × 0.6 = 0.48
B. The probability he'll loose both seats is
1 - 0.48 = 0.52
C. The probability he'll win one seat is
Probability = 0.8 + 0.6 - 0.48
Probability = 0.92
Hence, the required probabilities have been obtained.
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Question: a candidate is consisting for both national and provincial assembly seats. the probability that he will win the national seat is 0.8 and will win the provincial seat is 0.6. what is the probability that
a) he will win both seats
b) he will lose both the seats
c) he will win at least one seat
So NL + y = 5. What would NL be?
NL would be 3.1 cm
What are similar triangles?
These are set of triangles which have some common relations on comparing their corresponding properties. But similarity of the triangles does not imply that they are congruent.
From triangle PQN, applying the trigonometric function. We have;
Tan θ = opposite/ adjacent
Tan 60 = 3.2/ y
1.7321 = 3.2/ y
y = 3.2/ 1.7321
= 1.8475
y = 1.9 cm
To determine the value of NL,
NL + y = 5
NL = 5 - y
= 5 - 1.9
= 3.1
NL = 3.1 cm
The value of NL would be 3.1 cm.
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Five years have passed and Jamie Lee, 34, is considering taking the plunge--not only is she engaged to be married, but she is also deciding on whether to purchase a new home. Jamie Lee’s cupcake café is a success! It has been open for over a year now and has earned itself rave reviews in the local press and from its regular customers who just cannot get enough of her delicious varieties of cupcakes. One such customer, who stopped by on a whim in the café’s first week of business, is Ross. After a whirlwind courtship, Ross, a self-employed web designer, proposed, and Jamie Lee agreed to be his wife. The bungalow that Jamie Lee has been renting for the past five years is too small for the soon-to-be newlyweds, so Jamie Lee and Ross have purchased a brand new three-bedroom, 2 ½ bath home in a quiet neighborhood for $276,000. Use the provided information and the table below to calculate the affordable mortgage amount that would be suggested by a lending institution based on Jamie Lee and Ross’s income. You will need to make note of the purchase price (above) of their home for future questions. Use the following for Jamie Lee and Ross's calculations: 10% down payment $650 per month for estimated combined property taxes and insurance 5% interest rate for 30 years Refer to Exhibit 7-7 for current mortgage rates
Therefore , the solution of the given problem of interest comes out to be $882.75 monthly affordable mortgage amount recommended by a lending organisation .
What does interest actually mean?To determine simple interest, divide the sum by the cost of borrowing, the amount of time left, and other factors. Principal plus interest plus hours is the straightforward return strategy in marketing. The simplest approach to calculate interest is to use this method. The most popular method of calculating revenue is as a fraction of the principal amount.
Here,
We can use an internet mortgage calculator to determine the affordable monthly mortgage payment. With the provided data, we can determine the monthly mortgage payment to be $1,187.25 using a mortgage calculator.
Assume that Jamie Lee and Ross earn $8,000 per month in gross revenue.
Affordable debt amount
=> $1,837.25 ($8,000 x 0.43)
=> $2,720 - $1,837.25
is an affordable mortgage sum.
=> $882.75 is an affordable mortgage sum.
This indicates that the $882.75 monthly affordable mortgage amount recommended by a lending organisation based on Jamie Lee and Ross's income.
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'Paraphrasing'
Original: Scientists are quick to state that the presence of these organic molecules is not sufficient evidence for ancient life on Mars, as the molecules could have been formed by non-living processes.
A- Scientists cannot agree whether the discovery of organic material on Mars is proof that creatures lived on Mars or not in the past.
B- Scientists quickly say that the existence of these organic materials is not sufficient proof for ancient life on Mars, as the molecules could have been formed by other non-living methods.
C- Scientists claim life on Mars was not possible, and that natural processes are responsible for discovering any organic molecules.
D- Science experts are not strongly convinced that the discovery of organic materials on Mars is proof that living creatures existed before on Mars. It is possible the organic matter was created naturally due to different natural causes.
The presence of these organic elements, according to scientists, is insufficient evidence for the existence of ancient life on Mars since the molecules been created via other non-living processes. This assertion true.
What kinds of things are organic materials?Everything that includes carbon compounds produced by living things is considered to be organic matter. Lawn trimmings, leaves, twigs, branches, moss, algae, lichens, any animal parts, sewage, dust, insects, earthworms, and bacteria are just a few examples of what it includes.
Which three categories best describe organic materials?Carbohydrates, lipids, protein, and nucleic acids are the four main kinds of organic substances that are found in all living organisms.
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In ΔABC, c = 720 inches, m∠A=74° and m∠B=75°. Find the length of a, to the nearest 10th of an inch.
As a result, length of a side is around 1347.1 inches to the nearest 10th of an inch.
How is length of a side determined?The Law of Sines, which states that the ratio of the length of a side to the sine of the angle opposite that side is equal for all sides and angles in a triangle, can be used to determine the length of side an in ABC.
The following equation can be created by applying the Law of Sines:
C/sin(31°) = a/sin(74°)
If we are aware that c = 720 inches, we can use a calculator to determine sin(31°):
sin(31°) ≈ 0.51504
As a result, we can find a:
A is equal to sin(74°)*c/sin(31°)
a ≈ 0.96231 * 720 / 0.51504 \sa ≈ 1347.11
With a 10th-inch precision, we obtain:
1354.7 inches
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Answer:
its actually 1343.8
Step-by-step explanation:
Use synthetic division to evaluate for the indicated x value.
x³ + x²-3x +9; ƒ (-4)
f(-4)=
The first step to calculate the indicated x value using synthetic division is to assemble the synthetic division table, which will be:
Column 1 | Column 2-4 | 11 -3 91 -3 9 -63 |The first number on the top line, 1, is the coefficient of the highest degree term in the polynomial. The remaining coefficients are written in order, with 0 placeholders for any missing terms. The divisor, -4, is written to the left of the table.
How to calculate synthetic division?We must reduce the first coefficient, which is 1. Then we multiply -4 by 1 to get -4 and write that in the next coefficient, which is 1. We add the two numbers to get -3 , which we write under the next coefficient , which is -3. We multiply -4 by -3 to get 12 and write that under the last coefficient, which is 9. We add the two numbers together to get -51, which is the remainder.Therefore, we find ƒ(-4) = -51.
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Write in index form using negative powers 7/2 x × 2 x
Answer:
7withax2
Step-by-step explanation:
reduce 42/84 what is the answer
Answer:
1/2
Step-by-step explanation:
42/84=1/2
The principal P is borrowed and the loan's future value A at time t is given. Determine the loan's simple interest rate
T.
P = $2300, A = $2762, t = 6 months
The loan's simple interest is %.
***
Based on the information provided, it can be concluded the loan's simple interest is 4.01%.
What is the loan's simple interest?The simple interest is the difference between the future value of the loan and the loan amount.
Simple interest = future value - loan amount $2762 - $2300 = $462
The simple interest rate is a linear function of the loan amount, the interest rate, and the duration of the loan. The simple interest that is paid is the same each year for each period of the duration of the loan.
Simple interest = loan amount x time x interest rate
Interest rate = simple interest / (loan amount x time) = 462 ÷ (6/12 x 2300) = 0.401= 4.01%
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Evaluate and match each expression on the left to it's value on the right, when x=6 and y=5?
12+x
[tex]12 + x = 12 + 6[/tex]
[tex]\implies 12 + x = 18[/tex]
40. Social Security Numbers
A Social Security number is used to identify each resident of the United States uniquely. The number is of the form xxx-xx-xxxx, where each x is a digit
from 0 to 9.
(a) How many Social Security numbers can be formed?
(b) What is the probability of correctly guessing the Social
Security number of the president of the United States?
There are 10⁹(1 billion) possible Social Security numbers that can be formed. The probability of correctly guessing the Social Security number of the president of the United States is practically zero. This is because there are so many possible combinations, and it is highly unlikely that anyone would guess the correct number.
What is number?Number is a mathematical object used to count, measure, and label. It is used to express amounts, or magnitude of a quantity. Numbers are used in almost every field of life, such as science, engineering, economics, finance, and many other areas. Numbers are used in a wide range of contexts and are essential to modern life. They are used to communicate information, to measure time, and to represent values. Furthermore, numbers are used to represent abstract ideas, such as the probability of an event occurring. Numbers are also used to create patterns, which are essential to understanding complex systems. Without numbers, it would be impossible to measure anything, make estimates, or draw conclusions.
(a) There are a total of 10^9 (1 billion) possible Social Security numbers. This is calculated by multiplying the 10 possible digits (0-9) for each of the nine positions in the number, which gives 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 10⁹.
(b) The probability of correctly guessing the Social Security number of the president of the United States is 1 in 10⁹. This is because there are a total of 10^9 possible Social Security numbers, and the president's number is only one of those.
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Which of these cannot be an r2-value?
The value given that cannot be an r ² value is A. - 0.75.
What is the r ² value ?The r² value, also known as the coefficient of determination, is a statistical measure that represents the proportion of variance in the dependent variable that can be explained by the independent variable(s). It is a value between 0 and 1, with higher values indicating a better fit of the regression model to the data.
It is not possible for the r² value to be negative because it is the square of the correlation coefficient. - 0.75 cannot possibly be a value of r ² as a result.
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A roll has 12 yardsof ribbon. Haley uses 6 feet of the ribbon for a swing project. How many feet of ribbon are left on the roll? Show your work?
Answer:
30 feet
First, we have to make sure that the numbers have the same units of measurementWe can see that the roll had 12 yards, and Haley used 6 feetThere are 3 feet in a yard6 feet would be equal to 2 yards because 6 is double the amount of 3 feet; and 2 is double the amount of 1Now, we have to subtract 2 from 12 12-2= 10Remember: The question is asking for feet, so we can multiply 10 by 3 to get the number of feet left10 x 3 = 30,
So, 30 feet of ribbon is left on the roll
determine whether each pair of expressions is equivalent 4(x + y) and 4y + 4x
Therefore , the solution of the given problem of expression comes out to be 4(x + y) and 4y + 4x are identical expressions.
Expression : What is it ?Mathematical processes like multiplying, dividing, joining, and now even removing are required. If they were merged, the following would be stated: An equation, some statistics, and a mathematical formula A statement of truth is made up of values, components, and mathematical processes like additions, subtractions, errors, divisions, and algebraic formulas. Words and sentences can be analysed and evaluated.
Here,
Yes, 4(x + y) and 4y + 4x are identical expressions.
We can use the distributive principle of multiplication over addition to understand why.
=> 4(x + y) = 4x + 4y
This is so that we can see what happens when we assign the 4 to both the x and y values enclosed in parentheses:
=> 4(x + y) = 4x + 4y
In fact, this is identical to the expression 4y + 4x, which is nothing more than the same words in a different order:
=> 4y + 4x = 4x + 4y
As a result, 4(x + y) and 4y + 4x are identical expressions.
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Q.3. Dennis charges $1.75 for gasoline plus $7.50 per hour for mowing lawns. Which inequality
represents x, the number of hours Dennis must work to earn at least $100?
A. 1.75x+7.50 ≥ 100
B. 7.50x+1.75 ≥ 100
C. 1.75x+7.50 ≤ 100
D. 7.50x +1.75 ≤ 100
Answer:
. 1.75x+7.50 ≥ 100
Step-by-step explanation:
Find the measure of the three missing angles in the parallelogram below.
Answer:
[tex]x[/tex] = 67 , [tex]y[/tex] = 113 , [tex]z[/tex] = 67
Step-by-step explanation:
What we need to know:
A parallelogram has two pairs of equal angles
Opposite angles are equal
Angles in a quadrilateral add up to 360
1) Find out as many angles we can
We know that the opposite angles are equal, this means that y would be equal to 113
y = 1132) Find the remaining angles
We already know that two of our angles are 113, this means that our total is 226 for now. We have two angles left which are equal so to find them we have to subtract 226 by 360 then divide by 2
360 - 226 = 134134 ÷ 2 = 67[tex]x[/tex] = 67[tex]z[/tex] = 67Hope this helps, have a lovely day! :)
Answer:
x = 67
y = 113
z = 67
Step-by-step explanation:
The properties of a parallelogram are:
The opposite sides are equal and parallel.Opposite angles are congruent.Adjacent angles are supplementary (sum to 180°).Two angles are said to be adjacent when they share a common vertex.
Therefore, both angle x and angle z are adjacent to the angle that measures 113°.
Since adjacent angles in a parallelogram are supplementary:
⇒ x° + 113° = 180°
⇒ x° = 67°
⇒ x = 67
Similarly:
⇒ z° + 113° = 180°
⇒ z° = 67°
⇒ z = 67
As opposite angles in a parallelogram are equal:
⇒ y° = 113°
⇒ y = 113
Ricardo is half as likely to spin a 2 or 4 than an odd number
Based on the information provided, the statement "Ricardo is half as likely to spin a 2 or 4 than an odd number" is false.
Ricardo has a 2/27 chance of spinning either a 2 or a 4, and a 2/9 chance of spinning an odd number.
What is Probability ?
Probability can be defined as ratio of number of favourable outcomes, total number of outcomes
Let's start by assigning some variables to the probabilities of spinning each type of number. Let's say:
P(odd) is the probability of spinning an odd number
P(2 or 4) is the probability of spinning a 2 or a 4
According to the problem, we know that:
P(2 or 4) = 1/2 * P(odd)
We also know that the sum of the probabilities of spinning all possible numbers must equal 1. Since there are 5 odd numbers and 2 even numbers (2 and 4) on a standard six-sided die, we can write:
P(odd) + P(2 or 4) = 5/6 + 1/3 = 7/6
However, this equation doesn't make sense because the sum of probabilities should never exceed 1. This means that our assumption about P(2 or 4) being half as likely as P(odd) is incorrect.
To correct this, we can use the fact that P(odd) + P(even) = 1, where P(even) is the probability of spinning an even number (either 2 or 4). Since Ricardo is half as likely to spin a 2 or 4 than an odd number, we can write:
P(even) = 1/3 * P(odd)
Substituting this into the equation P(odd) + P(2 or 4) = 1, we get:
P(odd) + 1/2 * P(odd) = 1 - 1/3 * P(odd)
Simplifying this equation, we get:
3/2 * P(odd) = 1 - 1/3 * P(odd)
Multiplying both sides by 2/3, we get:
P(odd) = 2/9
Substituting this back into our equation for P(even), we get:
P(even) = 1/3 * P(odd) = 2/27
Therefore, Ricardo has a 2/27 chance of spinning either a 2 or a 4, and a 2/9 chance of spinning an odd number.
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Complete Question:
Use the information from the spinner to determine if the statement is True or False.
Ricardo is half as likely to spin a 2 or 4 than an odd number.
Write your own question that involves time conversion and ask someone to solve it.
Make sure you solve it too so you know if they get the correct answer!
Answer: If a movie starts at 2:45 PM and has a duration of 2 hours and 10 minutes, what time does it end?
To solve this, we need to add the duration of the movie to the start time and convert it back to the 12-hour clock format.
Adding 2 hours and 10 minutes to 2:45 PM, we get:
2:45 PM + 2 hours + 10 minutes = 4:55 PM
So, the movie ends at 4:55 PM.
Step-by-step explanation:
Which of the following expressions is equivalent to 3^2x − 3?
Answer:
3(3x−1)
Step-by-step explanation:
Can you help me with this problem??
a) The finance charge for the financing of the company airplane priced at $250,000 with 15% down payment is $66,308.
b) The monthly payments Vista's aircraft loan are $4,646.80.
How are the finance charge and monthly payments computed?The finance charge and the monthly payments can be determined using an online finance calculator as follows:
The finance charge represents the total interest and other fees that the financier charges for the loan.
The monthly payments are the periodic payments that must be made to settle the loan and compounded interest with the installment period of 60 months.
Company Airplane Price = $250,000
Down Payment = 15%
Loan Term = 60 months (5 years x 12)
Interest Rate = 11.25%
Results:
Monthly Payment (PMT): $4,646.80
House Price = $250,000
Down Payment = $37,500 ($250,000 X 15%)
Loan Amount = $212,500 ($250,000 - $37,500)
Total of 60 Mortgage Payments = $278,808
Total Interest (Finance Charge) = $66,308 ($278,808 - $212,500)
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Describe an activity for Grade R to teach Subtraction that will accommodate each type of learning modality
Grade R learners can be best taught using hands-on experience, thus use physical beads or objects to practically teach subtraction.
How should learners in grade R be taught?A manipulatives-based project can be a fantastic method to teach subtraction to grade R students, who frequently learn best via hands-on experiences. This activity can be modified to accommodate students who learn better visually, aurally, or kinesthetically.
The activity that can be used to teach grade R learners to subtract is by using physical objects, and asking them to count the initial number.
Remove some items and recount them.
The objects removed will denote the subtraction.
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Algebra l
Find an exponential model for the data.
ANSWER THIS: The exponential model for the data is y=___
The exponential model for the data is y=0.646(1.087)ˣ.
What is the exponential function?Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).
From the table we have, (8, 1.26), (10, 1.49)
We know that, the general form of exponential model is y=abˣ.
Here, substitute (8, 1.26) in y=abˣ, we get
1.26=ab⁸ -------(i)
a=1.26/b⁸
Here, substitute (10, 1.49) in y=abˣ, we get
1.49=ab¹⁰ -------(ii)
a=1.49/b¹⁰
1.26/b⁸ = 1.49/b¹⁰
1.26=1.49/b²
b²=1.49/1.26
b=1.087
Substitute b=1.087 in equation (i), we get
1.26=a(1.087)⁸
1.26=a(1.95)
a=1.26/1.95
a=0.646
So, the equation is y=0.646(1.087)ˣ
Therefore, the exponential model for the data is y=0.646(1.087)ˣ.
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Assuming and y are both positive, write the following expression in simplest
radical form.
4xy³√ 27x^2y^5
Answer:
We can simplify the given expression using the rules of exponents and radicals:
4xy³√ 27x^2y^5
= 4xy * ³√(27x^2y^5) (since y and ³√(27) cannot be simplified further)
= 4xy * ³√(3^3 * x^2 * y^3 * y^2)
= 4xy * 3xy * ³√y^2
= 12x^2y^2 * ³√y^2
Therefore, the expression 4xy³√ 27x^2y^5 simplifies to 12x^2y^2 * ³√y^2.
Step-by-step explanation:
a highway has at least one rest stop every 25 miles. Write solve and graph an inequality to represent the number of rest stops in the first 200 miles of the highway.
In a linear equation, The number of rest stops in the first 200 miles would be 8 or more.
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables. Equations with variables of power 1 are referred to as linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.
25x > 200
25 25
x > 8
The number of rest stops in the first 200 miles would be 8 or more.
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HELPPP! A yard plan includes a rectangular garden that is surrounded by bricks. In the drawing, the garden
is 7 inches by 4 inches. The length and width of the actual garden will be 35 times larger than the
length and width in the drawing.
(a) What is the perimeter of the drawing? Show your work.
(b) What is the perimeter of the actual garden? Show your work.
(c) What is the effect on the perimeter of the garden with the dimensions are multiplied by 35?
Show your work.
When 16 is subtracted from the square of a number, the result is 6 times the number. Find the positive solution.
The positive solution is t = 8.
What are quadratic equations?A quadratic equation is a polynomial which has variables in which one has the highest power of 2.
Considering the question, let the unknown number be represented by t. So that;
16 is subtracted from the square of a number = t^2 - 16;
the result is 6 times the number = 6t
So that;
t^2 - 16 = 6t
t^2 - 6t - 16 = 0
t^2 + 2t - 8t - 16 = 0
(t^2 + 2t)(-8t - 16) = 0
t(t + 2)-8(t + 2)
So that
(t + 2)(t - 8) =0
t + 2 = 0 or t - 8 = 0
t = -2 or t = 8
Thus the positive solution is t = 8.
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Consider the following figure.
(Note that the figure is not drawn to scale.)
74°
55°
63°
59°
Order the side lengths HI, IK, HJ, IJ, and KJ from least to greatest.
O
X
5
The side lengths from least to greatest are HJ, HI, IJ, JK and IK
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Angle H is 67 degrees
∠HIJ is 51 degrees
∠HJI is 61 degrees
Angle K is 63 degrees
∠KJI is 70 degrees
∠KIJ is 57 degrees
From least to greatest
HJ<HI<IJ<JK<IK
Hence, the side lengths from least to greatest is HJ, HI, IJ, JK and IK
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What is the solution to the system of equations: 2x + 2y = 14 and 4x – 2y = 10?
On solving the given system of equations, we found the values of the variables x and y as 4 and 3 respectively.
What is meant by the system of equations?
A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system. A group of equations comprising one or more variables is known as a system of equations. The variable mappings that satisfy each component equation, or the points where all of these equations cross, are the solutions of systems of equations. A group of equations that are all satisfied by the same set of variables are referred to as a system of linear equations.
The given system of equations is:
2x + 2y = 14
4x - 2y = 10
To solve this, we have to first get rid of one variable.
Here the coefficient of variable y is the same.
So adding the equations, we get
6x = 24
x = 4
Now substituting this value of x in any one of the equations we get y.
2*4 + 2y = 14
8 + 2y = 14
2y= 6
y = 3
Therefore on solving the given system of equations, we found the values of the variables x and y as 4 and 3 respectively.
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The area of each figure can be calculated using the given dimensions. Which of the
figures has an area formula that is a linear function?
The figure that has an area formula that is a linear function is the rectangle.
What is area?Area is the size or measurement of a two-dimensional space. It is usually expressed in square units such as feet, meters, or kilometers. Area is a fundamental concept in mathematics, and is used to measure the size of shapes and surfaces. Area is also used to calculate the amount of material or resources needed to cover a given space. In addition, it can be used to measure the cost or value of a piece of land.
The formula for the area of a rectangle is A=lw, where l is the length and w is the width. This formula is a linear equation because it is a product of two variables, where the relationship between the two variables is a constant. Thus, the area of a rectangle is a linear function of its dimensions.
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