Carman buy the video game in the cost of $45.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
We have to given that;
Carman has saved 80% of the money she needs to buy a new video game.
And, she saved the cost $36.
Let total cost of the video game = x
So, We can formulate;
⇒ 80% of x = $36
⇒ 80/100 × x = 36
⇒ 8x = 360
⇒ x = $45
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V=S3
S = 20
Give your answer in simplest form.
Enter
simplest form of equation V= 60
Simplifying a fraction means reducing a fraction to its simplest form. A fraction is in its simplest form if its numerator and denominator have no common factors other than 1.
A 'Simplest Form Calculator' is a free online tool that reduces a fraction to its simplest form. In this calculator, you can enter value and find its simplest form within a few seconds.
V=S3
S = 20
Give your answer in simplest form.
V = S3
V = S× 3
S = 20
Therefor
V = 20 × 3
V= 60
simplest form V= 60
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Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42
From the equation, the value of x is 13
What is a Square Number?When an integer is multiplied by the same integer, the resultant number is known as a square number. Simply put, a square number is a number that is obtained by the product of two same numbers but in this case, it is an equation, so the equation in the bracket multiplies itself.
Properties of Square NumbersSquare numbers always end with the digits 0, 1, 4, 5, 6, and 9. The number of zeros at the end of a square number is always even. This means if a number has an odd number of zeros at the end, then the number is not a square number. The square of even numbers is always even, and the square of odd numbers is always odd(x – 7)² = 36
Raising both sides by 1/2
x-7 = √36
x - 7 = 6
x = 6+7
x = 13
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it takes 32 pounds of seed to completely plant a 5 -acre field. How many acres can be planted per pound of seed?
The number of acres that can be planted per pound of seed is 0.16.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
32 pounds = 5-acre field
Divide 32 into both sides.
1 pound = 5/32 acre field
1 pound = 0.16 acre field
Thus,
0.16-acre field can be planted per pound of seed.
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please somebody please help
[tex]{\Large \begin{array}{llll} y=ab^x \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=1\\ y=27 \end{cases}\implies 27=ab^1\implies 27=ab \\\\[-0.35em] ~\dotfill[/tex]
[tex]\begin{cases} x=2\\ y=243 \end{cases}\implies 243=ab^2\implies 243=abb\implies \cfrac{243}{ab}=b \\\\\\ \stackrel{\textit{substituting from the 1st equation}}{\cfrac{243}{27}=b\implies \boxed{9=b}} \\\\\\ 27=ab\implies \cfrac{27}{b}=a\implies \cfrac{27}{9}=a\implies \boxed{3=a}~\hfill {\Large \begin{array}{llll} y=3(9)^x \end{array}}[/tex]
What is the midpoint of the x-intercepts?
The midpoint of the x-intercept is (0,0).
By looking at the equation, we may determine the y-intercept when the equation is expressed in the slope-intercept form (y=mx+b). The y-intercept is the value of b. This is due to the fact that the occurs when the x value is 0. Y = B when x = 0, since mx y-intercept = 0 at this point.
We set y = 0 and solve the equation for x to determine the x-intercept. This is due to the fact that the line crosses the x-axis at y=0. If an equation is not in the form y = mx + b, we can still solve for the intercepts by substituting 0 where necessary and then solving for the final variable.
The formula for the x-intercept is y = 0: The x-intercept(s) can be determined by factoring or by employing the quadratic formula because ax2 + bx + c=0.
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Compute the following for the function defined below. Simplify your answers. Note: Use lowercase letters in your answers. f(x) 3x 8 (a) f(x+h) - (b) f(x+h)-f(x)= (c) ixth-fx). Submit Answer
Answer is 3h after simplification.
What is function?Function is a mathematical expression that represent the relationship between an independent variable and dependent variable. The set of values of independent variable is termed as input of function and the set of value of dependent variable is called output.
What is the value of function?
given, a function. f(x) = 3x -8
if we want to write x + h instead of x
then the function will be f(x + h) = 3(x + h) - 8
f (x + h) - f(x) = 3(x+ h) - 8- (3x -8)
f( x + h) - f(x) = 3(x +h) - 8 - 3x+ 8
f(x + h) - f(x) = 3(x + h) - 3x
f(x + h) - f(x) = 3x + 3h - 3x
f(x +h) - f(x) = 3h
hence, the above is the result.
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What i the invere of f(x) = 3/(x 1) f ^ - 1 * (x) = (3 - 1)/x f ^ - 1 * (x) = 3 x f ^ - 1 * (x) = x^ 1 2 f ^ - 1 * (z) = 3/x - 1
The inverse of f(x) = 3/(x-1) is f^-1(x) = 3/x - 1.
So the correct answer is f ^ - 1 * (x) = 3/x - 1
The inverse of a function, denoted f^-1(x), is a function that "undoes" the original function. To find the inverse of a function, we need to switch the roles of x and y and then solve for x.
Given the function f(x) = 3/(x + 1), we can find its inverse by:
y = 3/ (x + 1)
Multiply with (x + 1) and divide by y
y(x + 1)/ y = (3/ (x + 1))×(x + 1)/ y
x + 1 = 3/ y
x = 3/ y - 1
Switching the roles of x and y:
y = 3/ x - 1
Thus f^(-1)(x) = 3/ x - 1
It's worth noting that in order for a function to have an inverse function it must be a one-to-one function. This means that for every y value there is only one x value.
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Which government tax policy is most likely to result in an increase in consumer demand? A - an increase in personal income tax B - a decrease in corporate tax C - a decrease in personal income tax D - an increase in corporate tax
The correct answer is "C" - a decrease in personal income tax is most likely to result in an increase in consumer demand.
Define Tax.Taxes are compulsory payments made by a government organization, whether local, regional, or federal, to people or businesses. Tax revenues are used to fund a variety of government initiatives, such as Social Security and Medicare as well as public infrastructure and services like roads and schools.
What is VAT?A value-added tax, often referred to as a goods and services tax in some nations, is a kind of tax that is imposed gradually. At every stage of manufacture, distribution, or sale to the final customer, it is added to the cost of a good or service.
There is an increase in consumer demand when personal income taxes are cut because people have more money that they can spend on products and services.
On the other hand, a rise in personal income taxes would reduce the amount of disposable money that consumers have, which will result in a drop in demand from consumers.
In a similar vein, a rise in company tax would result in higher business costs and lower profits, both of which would reduce consumer demand. Conversely, a drop in corporate tax would not directly influence consumer spending.
So the correct answer is C.
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50PTS 50 PTS (DONT explain just answer please)
Answer: 17
Step-by-step explanation:
Answer:
x = 17°
Step-by-step explanation:
The given angles are,
→ 6x + 8
→ 4x + 2
Now we have to,
→ find the required value of x.
Forming the equation,
→ (6x + 8) + (4x + 2) = 180°
{As two angles in a straight line is 180°}
Then the value of x will be,
→ (6x + 8) + (4x + 2) = 180°
→ 6x + 4x + 8 + 2 = 180°
→ 10x + 10 = 180°
→ 10x = 180° - 10
→ x = 170/10
→ [ x = 17° ]
Hence, the value of x is 17°.
b) Sita had 50 sweets. She ate 10 sweets and gave 8 sweets to her brother. If she divided the rest of them among her 8 friends equally, how many sweets would each friend get
Answer:
4 sweets per friend
Step-by-step explanation:
so first you want to minus 10 sweets since she ate 10 leaving her with 40 sweets. then she gives 8 sweets to her brother leaving her with 32 sweets left. If you divide the remaining sweets ( 32 ) by 8 you get 4 sweets per friend
Solve.
7 Jordan shoots 100 3-point shots per basketball practice.
She makes 44 of these shots. What decimal represents the
number of shots she makes?
8 At a county fair, 9 people out of 1,000 earned a perfect score
in a carnival game. What decimal represents the number of
people who earned a perfect score?
Answer:
7. .44
8. .009
Step-by-step explanation:
7. 44 ÷ 100 = .44
8. 9 ÷ 1000 = .009
Choose two statements that are true for this expression.
6x3 -8x^2- 40/y+21
Observing the given equation, The answer is The degree of polynomial is 3 and the equation has variables 'x' and 'y'.
What do you mean by equation?An equation is a mathematical statement that asserts the equality of two expressions. It typically consists of two expressions separated by an equals sign (=), for example, 2 + 2 = 4. Equations can be used to express relationships between different quantities and can be used to solve problems in many areas of mathematics and science. Equations can also be represented graphically, and they can be manipulated or transformed to make solving them easier.
What is degree of polynomials?A polynomial is a mathematical expression that is made up of a sum of powers in one or more variables. The degree of a polynomial is the highest power of the variable(s) present in the polynomial. For example, in the polynomial expression 3x^2 + 2x - 5, the highest power of x is 2, so the degree of the polynomial is 2. A degree 0 polynomial is a constant polynomial, which is just a number. The degree 1 polynomial is a linear equation, and degree 2 polynomial is a quadratic equation. In general, the degree of a polynomial can give an idea about the behavior of the polynomial function. As the degree of a polynomial increase, the shape of the function become more complex.
[tex]6x^3 - 8x^2 -\frac {40}{y} +21[/tex]
The degree of polynomial is 3.
The equation has variable 'x' and 'y' .
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Help me pleaseeeeeeeee!!!
0.08/0.2 and 0.2/0.8 are not proportional.
What is proportionality?A proportion is an equality of two ratios. We write proportions to help us establish equivalent ratios and solve for unknown quantities.
Given are two numbers, 0.08/0.2 and 0.2/0.8
Checking for if they are proportional or not,
0.08/0.2
Multiplying denominator and numerator by 100,
8/20 = 2/5
And,
0.2/0.8 = 1/4
Since, 0.08/0.2 ≠ 0.2/0.8
Hence, 0.08/0.2 and 0.2/0.8 are not proportional.
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What is the third side of a triangle calculator?
The third side of a triangle can be calculated using the Pythagorean Theorem.
This theorem states that in a right triangle, the sum of the squares of the two sides is equal to the square of the hypotenuse. The hypotenuse is the longest side of the triangle and is opposite the right angle.
Formula:
[tex]a^2 + b^2 = c^2[/tex]
Determine the two side lengths of the triangle
Calculate the sum of the squares of the two side lengths.
Calculate the square root of the sum of the squares of the two side lengths. This is the length of the third side (the hypotenuse).
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Are parallel algorithms always faster than sequential algorithms?
Answer:
Step-by-step explanation:
Parallel algorithms are not always faster than sequential algorithms. In general, the speed of an algorithm depends on a variety of factors, including the complexity of the algorithm, the hardware it is running on, and the specific problem it is trying to solve.
There are some cases where a parallel algorithm can be faster than a sequential algorithm. For example, if an algorithm can be easily divided into smaller subproblems that can be solved independently and then combined to get the final result, it may be possible to speed up the overall computation by using a parallel algorithm to solve the subproblems in parallel. This can be particularly effective if the subproblems are large and can be solved using multiple processor cores or distributed across multiple computers.
However, there are also cases where a sequential algorithm may be faster than a parallel algorithm. For example, if the problem is relatively small and can be solved efficiently using a single processor, it may not be worth the overhead of dividing the problem into smaller subproblems and coordinating their solution in parallel. In addition, some algorithms may be more difficult to parallelize, or may not lend themselves well to a parallel solution, in which case a sequential algorithm may be a better choice.
Overall, it is important to carefully consider the specific problem and available hardware when deciding whether to use a parallel or sequential algorithm.
A store sells AA batteries in packages of 10 batteries. They also sell boxes of 10 packages, cases of 10 boxes, and cartons of 10 cases. How many AA batteries are in one case? One carton? 10 cartons?
Solve these problems any way you choose.
1) 1000 AA Batteries in one Case.
2) 10,000 AA Batteries in One carton.
3) 100,000 AA Batteries in 10 cartons.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
The Store sells AA batteries in the order below:
⇒ 10 batteries in 1 packages
⇒ 10 packages in 1 box
⇒ 10 boxes in 1 case
⇒ 10 cases in 1 Carton
1) We want to determine how many AA batteries are in 1 Case;
Using Multiplication
Number of AA Batteries in 1 Case = 10 Batteries × 10 package × 10 box
= 1000 AA Batteries
2) We want to determine how many AA batteries are in 1 Carton;
From Part (a),
There are 1000 AA Batteries in 1 Case.
Since, There are 10 Cases in 1 carton.
Number of Batteries in 1 carton = 10 × 1000
= 10,000 AA Batteries
3) 10 Cartons
⇒ 1 carton = 10000 AA Batteries
Therefore, We get;
⇒ 10 Cartons = 10 × 10000
= 100,000 AA Batteries
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PLEASE, I'll GIVE YOU A FIVE STAR RATING AND THANKS WITH COMMENT!!!!!
If you double the amount of fluid ounces, the amount of cups also double
There is proportional relationship between the number of fluid ounces and the number of cups. So, the number of cups would change by the same factor as the number of fluid ounces.
The cost of renting equipment is sometimes proportional; because, it depends on whether the equipment has a rental fee and charge per hour or just a charge per hour. Option A.The cost of mailing a letter is proportional to the weight. The cost of mailing a 6-ounce letter is $2.82. Option BThe donation is proportional to the dinner bill
The donation for a dinner bill of $50 is $9
How to determine proportional relationship?If there are 8 fluid ounces in one cup
8 : 1 = 16 : x
8/1 = 16/x
8 × x = 16 × 1
8x = 16
x = 16/8
x = 2
The difference between weight = 1
The difference between cost = $0.68 - $0.47
= $0.21
$0.89 - $0.68
= $0.21
$1.10 - $0.89
= $0.21
Cost of mailing 6-ounce letter
1 : 0.47 = 6 : x
1/0.47 = 6/x
1 × x = 6 × 0.47
x = $2.82
The donation for a dinner bill $50 is
Dinner bill : donation
25 : 4.50 = 50 : x
25/4.50 = 50/x
25 × x = 50 × 4.50
25x = 225
x = 225/25
x =$ 9
Therefore, there is a proportional relationship between two quantities if there is an equal change in the values of both quantities.
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Does 5 12 13 make a triangle?
Yes, the sides with 5,12,13 make a triangle.
The square of the hypotenuse is equal to the sum of the square of the base and the square of the altitude is called Pythagorean Triples.
Pythagorean triples describe the three integer side lengths of a right triangle.
(Hypotenuse)² = (Base)² + (Altitude)²
c²=a²+b²
which contain three positive integers a, b, and c.
the original Pythagorean triplets, two of the numbers are prime, but one is even. If all three numbers are multiplied by a factor, the triplet is called a relatively prime.
The most well-known examples are (3,4,5) and (5,12,13)
consider c=13 a=12, b=5 substitute in above formula:
13²=12²+5²
⇒169=144+25
⇒169=169
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PLEASE HELP ME
6.
Dom is selling pizza at Hoopfest to help him raise money to go on a road trip. He wants each topping to increase the total price at a rate of $1.25. When someone ordered a 3-topping pizza the price was $16.25. Write an equation to represent this data.
Answer:
P = 12.50 + 1.25t
Step-by-step explanation:
To find an equation to represent the price of a pizza, we need to first figure out the original price of a pizze.
Since the price is 16.25 dollars, and there are 3 toppings, each of which cost 1.25, the original price would be:
16.25 - 3(1.25) = 12.50
Thus, we can represent the cost of a pizze with toppings as:
P = 12.50 + 1.25t, where P = Price and t = amount of toppings.
Hope this helps!
PLEASE HELP ASAP
Combine like terms
8x + 3 - 5x + 9
Answer: B
Step-by-step explanation: [tex]8x-5x=3x\\3+9=12\\[/tex]
Hope this helps any
Answer:
B. 3x+12
Step-by-step explanation:
8x+3-5x+9
First combine the x. So, 8x-5x=3x
Next combine the 3 and the 9. So, 3+9=12
After you combined like terms your equation now looks like: 3x+12
Hope it helped you.
Jonathan and Oscar began saving money the same week. The table shows the models for the amount of money Jonathan and Ove saved after x weeks.
Jonathan's Savings
F (x)=18x+5
Oscar's Savings
G(x)=8x + 25
Jonathan and Oscar will have the same amount of money saved after
Jonathan and Oscar will have the same amount of money saved after 2 weeks.
An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
An equation in math is an equality relationship between two expressions written on both sides of the equal to sign.
For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7. There are different types of equations like linear, quadratic, cubic, etc.
If they have same amount of money then,
f(x) = g(x)
18x+5 = 8x+25
10x = 20
x = 2 weeks
Therefore, Jonathan and Oscar will have the same amount of money saved after 2 weeks.
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what is 9.5 is what % of 50 i have a test tomorrow 1/11/23 and I dont understand it
The percentage statement is 9.5 is 19% of 50
How to determine the percentageFrom the question, we have the following parameters that can be used in our computation:
9.5 is what % of 50
Complete the blank with x
So, we have the following representation
9.5 = x% of 50
So, we have
9.5 = x% * 50
Divide both sides by 50
0.19 = x%
Multiply both sides by 100
So, we have
x = 19
Hence, the solution is 19
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Triangle STU is a right triangle.
Write an equation that relates the lengths of sides s, t, and u? (5 points)
Therefore , the solution of the given problem of triangle comes out to be the relationship between s,t and u is u²= t²+s².
What is the triangle?Given that it has three sides and three vertices, a triangle qualifies as a polygon. It is a fundamental geometric figure. Triangle ABC is the term used to refer to a triangle containing the vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are discovered. Triangles are polygons because they have three sides and three corners. The points where the three sides of the triangle converge are referred to as the triangle's corners. Three triangle angles are multiplied to yield 180 degrees.
Here,
Given : Triangle STU is a right triangle.
Thus,
We find :
sides s,t and u
the relationship between them is :
As it is a right triangle
So,
According to the pythagoras theorem,
=>u²= t²+s²
Therefore , the solution of the given problem of triangle comes out to be the relationship between s,t and u is u²= t²+s².
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Stacy wants to buy a tree to decorate her apartment. Her living room has 8 foot high ceilings. The height of each tree she is interested in buying is given below. Which tree(s) can she buy so that they fit in her living room? Choose all that apply
A. 108 inches
B. 114 inches
C. 94 inches
D. 79 inches
or other you can type what you got
Answer:
C And D
Step-by-step explanation:
94 Inches Is 7.8 Feet Tall & 79 Inches is 6.5 Feet Tall
Answer:
C and D
Step-by-step explanation:
You should start by changing the inches to feet
(there are 12 inches in foot [ 12 inch = 1 foot ])
A. 9 foot
B. 9.5
C. about 7 feet
D. about 6 feet
C and D are correct. Hope this helps!
Evaluate 8/9 power of 2 as a fraction in simplest form
Answer:
64/81 or, 0.790123456 repeating
Step-by-step explanation:
use the properties of exponents to get 8^2/9^2 and then evaluate to get the answer.
PLEASE HELP!! And explain :) THANKS
Because two triangles are said to be congruent when all three of their corresponding sides and all three of their corresponding angles have the same measure, the right answer is SSS.
What is triangle?Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is the name given to a triangle with vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found.
In the order below, beginning with triangles DAB and BCD, write the names of the vertices.
AB = CD
DA = BC
Since both triangles' BD sides are the same, BD = BD.
The SSS feature of a congruent triangle allows us to conclude that the triangles DAB and BCD are congruent since they share the same three sides.
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which expression is equivalent to
The provided expression can be simplified in the form 2y4/x4 option ( B) Using the integer exponent characteristics, = [x[tex]^\frac{1}{8}[/tex] . y⁸] is the right answer.
What is defined as an integer exponent?In mathematics, integer exponents are exponents that fall under the integer category. It's possible for the number to be either positive or undesirable. The positive integer exponents in this example dictate how many times that base number must be multiplied by itself.
It's possible for the number to be either positive or undesirable. The positive integer exponents in this example dictate how many instances the base number must be multiplied by itself.
According to the given information:= [x[tex]^\frac{1}{4}[/tex] . y¹⁶][tex]^\frac{1}{2}[/tex]
= [x[tex]^\frac{1}{8}[/tex] . y⁸]
The provided expression can be simplified in the form 2y4/x4 option ( B) Using the integer exponent characteristics, = [x[tex]^\frac{1}{8}[/tex] . y⁸] is the right answer.
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what is the coefficient of x8y9 in the expansion of (3x + 2y)17?
The coefficient of x⁸y⁹ is 81662929920.
What is binomial expansion?A binomial is a two-term algebraic expression. Examples of binomials include a + b, x - y, and more.
The binomial expansion formulae are used to find the powers of the binomials that cannot be extended using the algebraic identities.
Given expansion (3x + 2y)¹⁷
to find the coefficient of x⁸y⁹
this is found by binomial expansion,
(x + y)ⁿ = ∑ₙˣ⁻⁰ ⁿCₓxⁿ⁻ˣyˣ
here n = 17 and x = 9
(3x + 2y)¹⁷ = ¹⁷C₉ (3x)¹⁷⁻⁹ (2y)⁹
¹⁷C₉ = 24310
(3x + 2y)¹⁷ = 24310 (6561) (x)⁸ (512) (y⁹)
(3x + 2y)¹⁷ = 81662929920x⁸y⁹
Hence the coefficient is 81662929920.
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4. Determine the type of triangle with the given set of side lengths. Show your work. A. a = 8, b = 15, c = 17 B. a = 6, b= 15, c = 18 C. a = 7, b = 10, c = 12
So A is a triangle, and B is a triangle, and C is a right triangle (or a right-angled triangle)
Define Pythagoras Theorem.The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle, or, in standard algebraic notation, a2 + b2, are equal to the squares on the legs.
What is right angle triangle?A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or previously rectangled triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.
A. a = 8, b = 15, c = 17
We can use the Pythagorean theorem to determine the type of triangle:
c² = a² + b²
17² = 8² + 15²
289 = 64 + 225
289 ≠ 289
Therefore, this is not a right triangle.
B. a = 6, b= 15, c = 18
We can use the Pythagorean theorem to determine the type of triangle:
c² = a² + b²
18² = 6² + 15²
324 = 36 + 225
324 ≠ 324
Therefore, this is not a right triangle.
C. a = 7, b = 10, c = 12
We can use the Pythagorean theorem to determine the type of triangle:
c² = a² + b²
12² = 7² + 10²
144 = 49 + 100
144 = 144
Therefore, this is a right triangle.
So A is a triangle, and B is a triangle, and C is a right triangle (or a right-angled triangle)
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Given: 3ab = 7ad and 3ac = 7ae prove: δabc ~ δade triangles a b c and a e d are connected at point a. complete the steps of the proof. ♣: ♦:
The given problem has been proved below using the rules of Congruence.
The given problem can be solved easily if we apply the basic rules of Congruence on the question properly as they are required. Congruence is when two given figures have the same shape and size.
Given that,
3AB=7AD
3AC=7AE
So, by re-arranging them we get the same ratio that is,
AB/AD=7/3
AC/AE=7/3
Hence, we can conclude that,
AB/AD=AC/AE
Also, we can show that ∠BAC and ∠DAE by the property of vertical angles.
But ∠BAC ≌ ∠DAE is also true by the vertical angle theorem in this diagram.
So, SAS property ∆ABC~∆ADE is proved in the end.
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