Determine if the triangles can be proved congruent by SSS, SAS, ASA, AAS, or HL.

x² + y² + 6x - 6y - 207 = 0 is the equation for the circle whose circumference has endpoints at (12, 3), and (-18, 3).

We are aware that a circle's general equation is (x - h)2 + (y - k)2 = r2, where (h, k) is its center and r is its radius.

Therefore, to bring the constant term to the righthand side of the equation, add 21 to both sides.

So, the midpoints of the diameter are determined by the coordinates of the circle's center since the endpoints of the diameter are (x1, y1) = (12,3) and (x2, y2) = (-18,3).

The midpoints are so:

x = (x₁ + x₂)/2 = (12 + (-18))/2 = (12 - 18)/2 = -6/2 = -3 and

y = (y₁ + y₂)/2 = (3 + 3)/2 = 6/2 = 3.

Consequently, the circle's center's coordinates are (-3, 3)

The circle's diameter:

The circle's radius is [(x1 - h)2 + (y1 - k)2], where:

(x₁, y₁) = coordinates of end of diameter = (12, 3) and

(h, k) = coordinates of center of circle = (-3, 3)

As a result, when we enter the values of the variables into r, we get:

r = √[(x₁ - h)² + (y₁ - k)²]

r = √[(12 - (-3))² + (3 - 3)²]

r = √[(12 + 3)² + 0²]

r = √[15² + 0²]

r = √15²

r = 15

The formula for the circle:

The formula for a circle with a center (h,k) is: (x - h)² + (y - k)² = r²

By changing the variables' values in the equation, we arrive at:

(x - h)² + (y - k)² = r²

(x - (-3))² + (y - 3)² = 15²

(x + 3)² + (y - 3)² = 15²

x² + 6x + 9 + y² - 6y + 9 = 225

x² + 6x + y² - 6y + 9 + 9 - 225 = 0

x² + y² + 6x - 6y - 207 = 0

Therefore, x² + y² + 6x - 6y - 207 = 0 is the equation for the circle whose circumference has endpoints at (12, 3), and (-18, 3).

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The number of hats that Leah had on Monday, given that half the hats were destroyed and four hats were bought, was, A. 22 hats.

If half the hats that Leah owns were destroyed on Wednesday such that only 13 hats were left, then it means that the total hats before the destruction, was :

= 13 hats x 2

= 26 hats

Seeing as Leah bought four hats on Tuesday, this means that the hats she had on Monday were :

= Total hats - Hats purchased on Tuesday

= 26 - 4

= 22 hats

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Answer: 22 jamjams in 33 whamwhams

Step-by-step explanation:

33 ÷ 12 = 2.75     =     12 x 2.75 = 33

2.75 x 8 = 22

Answer:

Mr. Brust can bambam 22 jamjams in 33 whamwhams.

Step-by-step explanation:

Mr. Brust can bambam 8 jamjams in 12 whamwhams.

Mr. Brust can bambam x jamjams in 33 whamwhams.

Use a proportion.

8/x = 12/33

12x = 8 × 33

x = 8 × 33/12

x = 12

Answer:

Mr. Brust can bambam 22 jamjams in 33 whamwhams.

Therefore , the solution to this problem of unitary method comes out to be he should use 4 teaspoons of chocolate syrup instead of 5.

A single or distinct variable is referred to by the word unitary. Therefore, the goal of this strategy is to establish values in reference to a single unit. The unitary technique, for instance, can be used to calculate how many kilometers a car will go on one litre of gas if it travels 44 km on two litres of fuel.

Here,

Given :This recipe was doubled by Kiran. He used 4 cups of crushed ice, 6 tablespoons of chocolate syrup, 6 tablespoons of peanut butter, and 2 cups of yogurt.

1. Kiran's smoothie would be more chocolatey than Clare's. All ingredients are doubled, but there is an extra teaspoon of chocolate syrup in his smoothie.

2. Answers vary. Sample response: he should use 4 teaspoons of chocolate syrup instead of 5.

Therefore , the solution to this problem of unitary method comes out to be  he should use 4 teaspoons of chocolate syrup instead of 5.

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Answer:

3

Step-by-step explanation:

Given,

v = 54

l = 6

w = 3

To find : Value of h = ?

Formula : -

v = lwh

h = v/lw

h = 54/( 6 × 3 )

= 54/18

h = 3

Hence, the value of h is 3.

The equation of the ellipse with foci (0,14) and co-vertices at (±4,0) is [tex]x^2/16+y^2/36[/tex].

An ellipse is a geometric shape that is defined as the set of points such that the sum of the distances between the points and two fixed points (foci) is constant. It is a type of conic section and is defined by the equation:

[tex](x^2/a^2) + (y^2/b^2) = 1[/tex]

Where a and b are the semi-major and semi-minor axes, respectively. An ellipse can also be defined as the shape that results from the intersection of a plane and a cone at an angle that is not perpendicular to the base of the cone.

[tex]c=14, b=4, a²=b²+c²== > a=2√9\\x^2/b^2 + y^2/a^2\\x^2/16+y^2/36[/tex]

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Answer:

165 students or the sophomore class of 220 are not athletic.

Step-by-step explanation:

60/240 = .25 This means that 25% of the class is athletic.  That would mean and .75 or 75% are not athletic.

220 x .75 = 165

A and E are the vowels that theoretical probability was closet to the experimental probability.

The probability is 0.1685%

Probability:

Probability defines the probability of an event occurring. There are many real world situations where we need to predict the outcome of an event. We may or may not be certain about the outcome of an event. In such cases, I say that this event may or may not occur. Probability in general has excellent applications for making probability-based predictions in games and economics, and it also has widespread applications in this emerging field of artificial intelligence. The probability of an event can be calculated by simply dividing the number of favorable outcomes by the total number of possible outcomes using the probability formula. The value of the probability that an event will occur can range from 0 to 1. This is because the preferred number of outcomes can never exceed the total number of outcomes. Also, the resulting favorable number can never be negative. The formula for calculating the probability of a

event is:

probability (event) = favorable outcome/total outcome

Now,

According to the Question:

N vowels = N(A) + N(E) + N(I) + N(O) + N(U)

                =9 + 12 + 9 + 8 + 4

                =42

The total number of letters is:

1×5+2×10+3×1+4×4+6×3+8×1+9×2+12×1=100

This is because dragging the tile reduces the number of vowels and the total number of letters.

p =42×41×...×36100×99×...×94

= 5916335104300

≈ 0.1685%

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When a four-digit number is divisible by nine and is written as 3AA1, the digit A stands for 7.

A number is itself divisible by nine if the total of its digits is also nine digits.

Multiples in mathematics are the outcomes of multiplying an integer by a certain number. a multiple of 9 is a number that divides by nine.

By utilizing the aforementioned attribute, we can

3 + A +A +1 = 9, OR 18, OR 27

4 + 2A = 9, OR 18, OR 27

using 18

2A = 18 - 4

2A = 14

A = 7

therefore we can say that the number is  3771

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A linear system has one solution if the slopes of the equation of lines are different.

The 3  possible solutions of a linear system are:

- Unique or one solution

- Infinite solutions

- No solution

A linear equation is equal to the equation of a line, which has the form:

y = mx +b

where m = slope

If the slopes are different, then their graphs will intercept in one point. Hence, the system of linear equation will have one solution.

Example:

2x + 5y = 34  .. .. (equation 1)

x + 5y = 32  .........(equation 2)

Change the equation 1 and equation 2 into slope-intercept form:

y = (-2/5) x + 34/5   ..... (equation 1a)

y =  (-1/5) x + 32/5   ..... (equation 2a)

The slope of equation is (-2/5) while equation 2 is (-1/5), which is different from equation 1.  Hence, the system of linear equation has one solution.

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Maths can be hard or easy, depending on the level of difficulty and the individual's experience and understanding numbers.

Maths is a subject that can range in difficulty depending on the level of complexity and the individual's experience and knowledge. Some people may find it easy, while others may find it difficult. In the end, it all depends on the level of understanding and the amount of effort put into learning and practicing.

Maths can be hard or easy, depending on the level of difficulty and the individual's experience and understanding numbers

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Answer:

BOTH!

Step-by-step explanation:

See math can be easy or hard. It all depends on YOU. The equation itself isn't hard at all. Mybe a little more work to put in. but its your brain that tells you comething is too challenging or too hard. Now if you are a straight A students and you love math then ofcource your going to be like this is easy!

Thus, complete scale is: 1 inch = 57.7 miles

This can be solved by the concept of cross-multiplication method.

A centimeter is smaller than an inch. On the other side of the centimeter ruler, inches are denoted by the large, continuous hash marks that are inscribed above the digits. On a ruler, the inch is the largest unit and is denoted by the longest line. There is a number next to each 1-inch line on the ruler that designates.

Since the international yard was adopted in the 1950s and 1960s, standards for the precise length of an inch have fluctuated, but the inch is now based on the metric system and is defined as precisely 25.4 mm.

Correct order is:

d. 27 / 1557 = 1/d

e. 27 . d = 1 . 1557

a. 27d = 1557

f. 27d / 27 = 1557 / 27

b. d = 57.7

c. scale: 1 inch = 57.7 miles

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The equation 2x² + 3x - 2 = 0 has the solutions or roots 1 and -2. The quadratic equation is 2x² + 3x - 2 = 0

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to express the connection between two phrases on either side of a letter.

given

Below is the quadratic equation.

2x² + 3x - 2 = 0

When you factor the equation, you get

2x² + 3x - 2 = 0

2x² + 4x - x - 2 = 0

2x(x + 2) - 1(x + 2) = 0

(x - 1)(x + 2)

x = 1, -2

The equation 2x2 + 3x - 2 = 0 has the solutions or roots 1 and -2

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Answer:

15a

Step-by-step explanation:

5a + 10a = 15a

The value of 5 divided by 2 is 2.5.

Therefore the answer is 2.5.

When dividing 5 by 2, we are trying to find out how many times 2 can fit into 5. The answer is 2 with a remainder of 1, this is why it can also be written as 2 and 1/2.

When dividing 5 by 2, we can also write the result as a fraction, in this case, it is 2 and 1/2 or 2.5 in decimal form. It is the exact same thing as 2.5, just represented in a different way.

It's important to note that, in general, dividing integers will give a decimal number. If you want the result to be a fraction, you will have to express it as such.

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Given equation 3 = 3 is an identity, so it has infinite solutions.

Consider the given mathematical equation 3 = 3

We need to check whether the given mathematical equation has solution or not.

We know that a statement 3 = 3 's true no matter what.

We can observe that for given statement 3 = 3, there's no variable in sight.

This means, 3 = 3 must has infinite solutions.

We know that an equation which is always true, no matter what values we substituted is called as an identity.

This equation is an identity, all real numbers are solutions.

Therefore, the equation 3 = 3 have infinitely many solutions.

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The answer is a ≤ 30.

An inequality is a mathematical expression that compares two values or expressions using an inequality operator. In this case, the inequality would be a ≤ 30. This means that the area of the triangle must be less than or equal to 30 square inches.

This can be solved by finding the area of the triangle. To do this, we need to know the lengths of the sides of the triangle. Suppose we have sides p, q, and r. Then the area of the triangle can be found using the formula:

                       a = 1/2 × b × h

where q is the base of the triangle and r is the height. To ensure that the area of the triangle is no more than 30 square inches, the inequality must be satisfied. That is, 1/2 × b × h ≤ 30. This inequality can be rewritten in terms of the side lengths by substituting 1/2 × q × r for h. This gives us a ≤ 30.

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The diameter of a given circle, measured in inches, is 26.8 inches, according to the solution.

The correct option  is A.

A circle is a circular shape that can be created by tracing a moving point in a plane so that its distance from thea specified point remains constant. From the Greek word kirks, which means hoop or ring, comes the term circle.

Circular shapes give us a feeling of completion, assurance, and harmony from a psychological perspective. They stand for the concepts of oneness, integration, and wholeness. In addition to lacking angles, they also lack a beginning and an end. Because of this, a circle is a strong, yet secure, kind, and benign element.

Given,

Radius of circle= 34cm=13.36 inches

Diameter= 2x radius

Diameter = 26.8 inches

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The object will hit the ground after 5.01 seconds.

When an object is propelled upward from ground level with an initial velocity of 80.1 feet per second then its height h in feet t seconds later is giving by the equation,

h= -16t^2+ (80.1)t

When the object hit the ground, the height of the object h would be zero.

To find: time (t) when h = 0

Substitute h = 0 in given equation.

h = -16t^2+ (80.1)t

0 = -16t^2+ (80.1)t

16t^2 -  (80.1)t = 0

t (16t - 80.1) = 0

t = 0  or  16t - 80.1 = 0

t = 0   OR   t = (80.1)/16

t = 0 OR t = 5.01

Therefore, it will hit the ground after 5.01 seconds.

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Answer:

8 + v

Step-by-step explanation:

assuming Lamar didn't buy any other cupcakes outside of the chocolate and vanilla ones mentioned, the expression that gives you the total amount of cupcakes bought for the party is 8 + v. since you don't know the number of vanilla cupcakes Lamar bought, it is represented as the variable v in this problem. Then just add 8 and the variable v together. hope this helped :]

Answer:

d

Step-by-step explanation:

Answer: 1st, 4th, and 5th choices

The original price of the pair of shoes is $62.5.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Original price = 100%

Offer price = $50

Offer = 20%

Now,

80% = 50

Multiply 100/80 on both sides.

100% = 100/80 x 50

100% = $62.5

Thus,

The original price is $62.5.

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A 69 sided shape called"Hexacontakaienneagon".

Naming a polygon by its number of sides requires that we know the appropriate:

3=tri, 4=tetra, 5=penta, 6=Hexa, 7=hepta, 8=octa, 9=Nona or ennea, 10=deca,11=hendeca,12=dodeca,13=triskaideca,14=tetradeca,15=pentadeca,16=hexadeca,17=heptadeca,18=octadeca,19=enneadeca,20=icosa

For polygons with 3 through 20 sides, simply add "gon" to the prefixes at the left.

For more than 20 sides, we "construct" the name by using so-called combining prefixes:

For Tens Digit:

20=icosi,30=triaconta,40=tetraconta,50=pentaconta,60=hexaconta,70=heptaconta,80=octaconta,90=enneaconta

for One's Digit:

1=hena,2=di,3=tri,4=tetra,5=penta,6=hexa,7=hepta,8=octa,9=ennea

60                and      9    

hexaconta    kai     ennea

As per the given information, 69 is defined as "Hexacontakaienneagon".

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Three possible solutions when solving a system of equation are: one solution, no solution, and infinite solutions.

The 3  possible solutions of a system of equations are:

- Unique or one solution

- Infinite solutions

- No solution

In case of   a system of linear equations, we can determine the type of its solution as follows:

- If the slopes are different, then their graphs will intercept in one point. Hence, the system of linear equation will have one solution.

-  If the slopes are the same but the equation of the lines are different, the lines are parallel, hence they will not intercept. Therefore, there is no solution.

- If the linear equations are exactly (or can be transformed to exactly) the same equations, the solution is infinite.

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The number of hours after which the candle is burned completely is

68 hours.

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,

Candle height = 11(1/3) inches

Each hour the height decreases by 1/6 inch.

Now,

The equation to find the number of hours x after which the candle is burnout is 11(1/3) - (1/6)x = 0

Solve for x.

11(1/3) - (1/6)x = 0

11(1/3) = (1/6)x

34/3 = (1/6)x

x = (34 x 6) / 3

x = 34 x 2

x = 68

Thus,

After 68 hours the candle is completely burnt.

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The length AB is 15.

What is length ?

Distance is measured by length. The quantity of length has the dimension of distance in the International System of Quantities. Most measurement systems choose a base unit for length from which all other units are derived. The metre serves as the fundamental unit of length in the International System of Units.

The definition of length is the measurement or extent of something from end to end. In other terms, it is the largest of the two or the highest of the three dimensions of geometrical forms or objects.

In contrast to width, which is used to gauge an object's width from side to side, length is used to gauge an object's length from one end to the other.

As it is a isosceles the two sides are equal

5x = 4x + 3

x = 3  

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