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Which of the following proves these two triangles congruent by AAS?

The Division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).

To find the division of the sum of (7/8), (15/4), and (1/12) by their multiplication, we first need to calculate the sum and multiplication of the given fractions.

The sum of the fractions is:

(7/8) + (15/4) + (1/12)

To add these fractions, we need a common denominator. The least common multiple of 8, 4, and 12 is 24. Let's convert each fraction to have a denominator of 24:

(7/8) = (21/24)

(15/4) = (90/24)

(1/12) = (2/24)

Now we can add the fractions:

(21/24) + (90/24) + (2/24) = (113/24)

The multiplication of the fractions is:

(7/8) * (15/4) * (1/12)

To multiply fractions, we multiply the numerators and denominators:

(7*15*1) / (8*4*12) = (7/96)

Now we can divide the sum of the fractions by their multiplication:

(113/24) / (7/96)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

(113/24) * (96/7) = (2712/168)

Therefore, the division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).

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Answer:

Step-by-step explanation:

Let's simplify this further to get our answer.

Looking at the options, we can say that Option C and B are correct.

Lets see

Answer:

Here :)

Step-by-step explanation:

Reflect over x axis: (-x,y)

Reflect over y axis: (x,-y)

Rotate 90 degrees clockwise: (y,-x)

Rotate 90 degrees counter clockwise: (-y,x)

Rotate 180 around origin:  A(x,y) becomes A'(-x,-y)

Rotate 90 degrees clockwise around (2,0) Translate +2 horizontally -2 vertically:(2, -4)

Answer:

Ron has 15 nickels and 9 quarters

Step-by-step explanation:

Create a system of equations where n is the number of nickels and q is the number of quarters he has:

n + q = 24

0.05n + 0.25q = 3

Solve by elimination by multiplying the top equation by -0.25

-0.25n - 0.25q = -6

0.05n + 0.25q = 3

Add them together and solve for n:

-0.2n = -3

n = 15

So, Ron has 15 nickels. Find how many quarters he has by subtracting 15 from 24:

24 - 15

= 9

So, Ron has 15 nickels and 9 quarters.

The measures of the angles of the right triangle are 30 degrees, 60 degrees and 90 degrees.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Let's call one of the acute angles "x" and the other acute angle "2x",

From angle sum property the sum of three angles is 180 degrees.

In a right triangle, one of the angles is a right angle, which measures 90 degrees.

x + 2x + 90 = 180

3x + 90 = 180

Subtracting 90 from both sides, we get:

3x = 90

Dividing both sides by 3, we get:

x = 30

So one of the acute angles measures 30 degrees, and the other acute angle measures 2x = 2(30) = 60 degrees.

Therefore, the measures of the angles of the right triangle are 30 degrees, 60 degrees and 90 degrees.

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Answer: la respuesta es 7

Step-by-step explanation:

Tres veces 7 es 21

The first one lol

..........................

Answer:

√18=√3×3×2=3√2 hope this helps you.

Answer:

1333

Step-by-step explanation:

Answer:

x = 21.52

Step-by-step explanation:

Given:

hypotenuse (That has to be found out)

Side adjacent to the given angle

and an angle,

Hence we can say that Cos ratio would be used;

Cos(28) = 19 / x

x = 19 / Cos(28)

x = 21.52

Hope this helps!

Answer:

4 : 7

Step-by-step explanation:

First, you can start by moving all the terms to one side:

14x^2 + 6xy - 8y^2 = 0

Now we can start to factor this equation in order to find the ratio. We can start by factoring out the GCF, which is 2:

2(7x^2 + 3xy - 4y^2) = 0

In order to factor this equation we multiply the coefficients in front of the x^2 and y^2 term to get: 7 * -4 or -28. We are looking for numbers that have a product of -28 and a sum of 3(as the coefficient of the xy term). These two numbers are 7 and -4. We can rewrite the equation as:

2(7x^2 + 7xy - 4xy - 4y^2) = 0

Now, we can start to factor by grouping:

2( 7x[x + y] - 4y[x + y] ) = 0

And we can factor out [x + y]:

2(x + y)(7x - 4y) = 0

So, we can use the zero product property to get two equations:

x + y = 0

and

7x - 4y = 0

You get:

x =  -y

and

7x = 4y

We can get cancel out the first solution because both x and y have to be positive. Rearranging the second equation we can get x : y = 4 : 7

Answer:

4a^2-2a+7

Step-by-step explanation:

combine like terms

7a+-9a= -2a

8a^2 - 4a^2 =4a^2

and anything to the power of 0 is a 1

so 7x1 is 7

so the answer is 4a^2 -2a+7

Answer:

A- 8x+9

Step-by-step explanation:

------------------------------------------

5x + 3 (x + 2) + 3

5x + 3x + 6 + 3

8x + 6 + 3

8x + 9

<3

Yes, Pascal's Triangle can be used to expand the binomial \((2x+3y)^{15.\) Pascal's Triangle is a triangular arrangement of numbers in which each number is the sum of the two numbers directly above it.

The coefficients in the expansion of a binomial can be found by using the corresponding row of Pascal's Triangle.

To expand\((2x+3y)^{15\), we will use the 15th row of Pascal's Triangle. The first term will have the exponent of\((2x)^{15\), and the second term will have the exponent of (3y)^0. Each subsequent term will have decreasing exponents of (2x) and increasing exponents of (3y).

The expansion of (2x+3y)^15 using Pascal's Triangle is as follows:

\((2x)^{15} + 15(2x)^{14}(3y) + 105(2x)^{13}(3y)^{2} + 455(2x)^{12}(3y)^{3} + ... + 455(2x)(3y)^{12} + 105(3y)^{13 }+ (3y)^{15\)

We can simplify each term by calculating the coefficients and combining like terms. The coefficients are determined by the corresponding numbers in the 15th row of Pascal's Triangle: 1, 15, 105, 455, ...

So, the expanded form of (2x+3y)^15 is:

\((2x)^{15} + 15(2x)^{14}(3y) + 105(2x)^{13}(3y)^{2} + 455(2x)^{12}(3y)^{3} + ... + 455(2x)(3y)^{12} + 105(3y)^{13 }+ (3y)^{15\)

Simplifying further would involve performing the necessary calculations and combining like terms.

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The length of the third side is 14.4 units.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

We find the third side of a triangle by using Pythagoras theorem.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides

8²+12²=x²

64+144=x²

208=x²

Take square root on both sides

x=14.4

Hence, the length of the third side is 14.4 units.

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Answer:

you should have studied instead of going to a wed site

Step-by-step explanation:

many people can give u a wrong answer

Answer:

The days will it take the store to make $50,000 in a whole number are:

Step-by-step explanation:

Remember that x represents the number of days, so, you must replace different values in the formula until you obtain a value of $50,000, in this form:

So, I'll show you that the value that you need is 30 in a whole number.

I know that the value exceeds the amount of $50,000, but if you use just a day before:

How you can see, if you use 29 days, the value doesn't reach $50,000, by this reason, you must use 30 days to reach it.

The ship is 88.8 miles far from the port at 4 pm.

Given,

The displacement from 1 to 3 in the afternoon.

D1 = 30 miles/hr × 2 hr

     = 60 miles to the north

The displacement from 3 till 4 in the afternoon.The ship changes its course 20 degrees eastward at 3 o'clock.

Therefore, D2 = 30 miles/hr × 1 hr

                       = 30 miles to the 20° north eastward

By combining two vectors, the resulting displacement:

D = √((D1 ₊ D2 × cos(20°))² ₊ (D2 × sin(20°))²

D = √((60 ₊ 30 × cos (20°))² ₊ (30 × sin(20°))²

D = 88.8 miles

Hence the ship is 88.8 miles far away from the port at 4 pm.

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Answer:

yaaa groooov

Step-by-step explanation:

The value for  given trigonometric functions are csc 30° = 2, cot 60°  = √3/3, cos 30 ° = √3/2, and cot 30° = √3.

A branch of mathematics called trigonometry examines correlations between side lengths and angles of the triangle. Trigonometric Identities are equality conditions that apply to all values of the variables in the equation and which require trigonometry functions.

Given, sin 30° = 1/2 and tan 30° = √3/3.

The formula for csc or cosec x = 1/sinx.

Then,

\(\begin{aligned}\csc 30^{\circ} &=\frac{1}{\frac{1}{2}}\\&=2\end{aligned}\)

The formula for cot θ = tan(90°- θ)

Then,

\(\begin{aligned}\cot 60^{\circ} & = \tan(90^{\circ}-60^{\circ}) \\&= \tan 30^{\circ}\\&=\frac{\sqrt{3}}{3}\end{aligned}\)

The formula for cos θ = sin θ/tan θ.

Then,

\(\begin{aligned}\cos 30^{\circ} &= \frac{\sin 30^{\circ}}{\tan 30^{\circ}}\\&= \frac{\frac{1}{2}}{\frac{\sqrt{3}}{3}}\\&=\frac{3}{2\sqrt3}\times \frac{\sqrt3}{\sqrt3}\\&=\frac{\sqrt3}{2} \end{aligned}\)

The formula for cot θ = 1/tan θ.

Then,

\(\begin{aligned}\cot 30^{\circ}&=\frac{1}{\tan30^{\circ}}\\&=\frac{1}{\frac{\sqrt3}{3}}\\&=\frac{3}{\sqrt3}\times\frac{\sqrt3}{\sqrt3}\\&=\sqrt{3}\end{aligned}\)

Therefore, the answers are 2, √3/3, √3/2, and √3.

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Ciana should purchase the skirt at the store across town because the total economic cost will be lowest.

Ciana makes $30 per hour at her work, and her purchase decision includes the opportunity cost of lost wages:

Total economic cost:

Local store = $114 + [1/4 hours x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $144

Across town = $86 + [1/2 hours x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $131

Neighboring city = $60 + [1 hour x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $135

Ciana should buy a skirt at the store across town. Because it has the lowest total economic cost ($131).

Opportunity cost is the lost benefit or additional cost of choosing one activity or investment over another. Economic costs include both accounting costs and opportunity costs.  

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Answer:

Chicken nugget

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

by building a system of equation wiht the equation u create the x u gte si the answer and x=20

Answer:

The Area of the trapezium is \(60cm^2\)

Step-by-step explanation:

Given,

Height (h)= 8cm

Sum of the parallel sides (a+b)= 15cm

Area of trapezium = \(1/2*h*(a+b)\)

                              =\(1/2*8*15\)

                              =\(4*15\)

Area of trapezium=60cm^2

Answer: Area = 60 cm²

Step-by-step explanation:

To find the area of a trapezium we use the formula

Area of trapezium = 1/2 (sum of parallel sides) × height

∴ Area = 1/2 ×15 cm × 8 cm

           = 60 cm²

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The sequence 11, 6, 1 ....  is an example of an Arithmetic Sequence. The common difference in this sequence will be d = -5.

Arithmetic Progression

It is a mathematical sequence in which all the consecutive terms in a sequence are separated from each other by a common difference throughout the whole sequence i.e. every term is separated from the previous term by a difference which is called a common difference throughout the sequence.

In the given situation, the sequence is 11, 6, 1....

to find the common difference we need to subtract two consecutive terms to know the difference between them.

In this sequence, a₁ = 11 and a₂ = 6. We know Common differences can be represented by d = a₂ - a₁. Putting values we get :

       => d = 6 - 11   => d = -5

Hence, here is a common difference, d = -5 and it is an example of an Arithmetic Sequence.

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Answer:

7/42 and 18/42

Step-by-step explanation:

Answer:

7/42 and 1 8/42

Answer: I think it is A.  Y=18+3x

Step-by-step explanation:

If it is finding an equation for the total amount of points she would have you would first use the starting total,18,and add 3 points for each movie giving us the equation... y=18+3x

Answer:

Holy bloop you gotta learn

Step-by-step explanation:

you dumb

go to school

and learn

The given statement about inequality is true.

The inequality expressions are the mathematical equations related by each other by using the signs of greater than or less than. All the variables and numbers can be used to make the equation of inequality.

The statement is true ''Pick a point on one side of the solid or dashed line and enter its coordinates into the original inequality to determine which side of a linear inequality to colour in for its graph. On that side of the plane, you should shade if the coordinates satisfy the inequality''.

The statement defines how to write an inequality the meaning of inequality is that one part of the inequality will be shaded by some colour indicating that the region is falling under the area of inequality.

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