Which arcs are congruent?

Arc S P and Arc S R
Arc P Q and Arc S R
Arc P Q and Arc Q R
Arc S P and Arc P R

Answer:

The answer to this questions is A

To find the sides of an isosceles triangle given the angles, use the Law of Cosines to calculate the length of each side.

An isosceles triangle has two angles and two sides that are both equal.. To find the sides, you will need to use the Sine Law. The Sine Law states that the ratio of the length of a side of a triangle to the sine of its opposite angle is equal for all sides and angles of the triangle.

For example, if you have the angles A and B, and you know that they are both equal (i.e. they are the angles of an isosceles triangle), then you can use the Sine Law to calculate the length of the sides:

Side AB = Side BC = (Side AC) x (Sin A / Sin B)

Where A and B are the angles of the triangle and Side AC is the known side length.

Once you have calculated the length of the two equal sides, you can then use the Pythagorean Theorem to calculate the length of the third side (the base).

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Therefore , In the instance of an equilateral triangle, each side's length (3 sides are equal) is equivalent to 28 cm.

What is triangle?

Triangular polygons in geometry are those with right side and three vertices. There are three straight sides to this two-dimensional shape. Three-sided polygons include triangles. A triangle's three angles add up to a whole 180 degrees. A single plane contains the triangle.

A polygon is a closed two-dimensional geometric shape that has three or more straight sides. The sides of a polygon are called edges and the points where the edges meet are called vertices.

Here,

We must apply the mathematical procedure for computing an equilateral triangle's area.

An equilateral triangle's area is equal to 3/4 of each side; assume that each side is x cm long.

[3/4 (a)2] cm2 is the equilateral triangle's surface area.

In light of the information mentioned in the query,

√3/4 × (a)² = 196√3

a²/4 = 196√3/√3

a²/4 = 196

a² = 196×4

a² = 784

a = √784

a = 28

In the instance of an equilateral triangle, each side's length (3 sides are equal) is equivalent to 28 cm.

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The domain of √ X  2 is X ≥ 4. The range is all real numbers.

Here is the proof, In order for the square root to be defined, the radicand (the value inside the square root symbol) must be greater than or equal to zero. In this case, the radicand is X - 2, so we must have X - 2 ≥ 0, which is equivalent to X ≥ 4. Therefore, the domain of √ X - 2 is all values of X that are greater than or equal to 4. The range of √ X - 2 is all real numbers because the square root of any non-negative value is a real number.

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Answer:

x=3 y=1

Step-by-step explanation:

-2/3x+3=2x-5

x=3

y=-2/3(3)+3

y=1

y=2(3)-5

y=1

Answer:

[tex] - 2x - 2 = 3( - x + 2) \\ - 2x - 2 = - 3x + 6 \\ - 2x + 3x = 6 + 2 \\ x = 8[/tex]

Answer:

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The probability that exactly 4 cars will enter the car wash in an hour is 0.195

Generally, This is a Poisson process, where the mean number of cars entering the car wash is 4 cars per hour. The probability of exactly 4 cars entering in an hour is given by the Poisson probability mass function:

P(X = 4) = (e^(-4) * 4^4) / 4!

where e is approximately 2.71828, and 4! is

4 * 3 * 2 * 1 = 24.

Plugging in the values, we get:

P(X = 4) = (2.71828^(-4) * 4^4) / 24

P(X = 4) =0.195

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Answer:

18/4x36/x

18x=4x36

18x=144

x=144/18

x=8

Answer:

x = 8

Step-by-step explanation:

Given

y = kx ← k is the constant of variation

To find k use the condition y = 18, x = 4 , then

18 = 4k ( divide both sides by 4 )

4.5 = k

y = 4.5x ← equation of variation

When y = 36, then

36 = 4.5x ( divide both sides by 4.5 )

8 = x

Answer:

47/100

Step-by-step explanation:

we will shift the 2/10 to the other side and change the sign to minus

Answer: 3x-y=8

Step-by-step explanation:

Answer:

Decimal: n = 3.5

Fraction: n = 7/2

Step-by-step explanation:

6n = 21

n = 21/6

n = 7/2

n = 3.5

Answer:

3.15

Step-by-step explanation:

Divide 21 by 6

The product of expression is 24a² - 18ab.

A polynomial is a sort of algebraic expression in which all variable exponents are whole numbers. Variable exponents in any polynomial must be non-negative integers. A polynomial is made up of constants and variables, however we cannot divide polynomials by variables.

We have,

3a( 8a - 6b)

Now, multiplying the expression as

= 3a(8a) - 3a(6b)

= 24a² - 18ab

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The right Riemann sum for the given function is 2.5.

Firstly, we must find the width of each of the subintervals Δx,

We know n = 4, a = 0, b = 2

∴ Δx = b - a / n

Δx =  2 - 0 / 4

Δx = 1/2

The width of each rectangle is 0.5

Next, we must find the locations of the right endpoints of the rectangles -

x1 = a + Δx(1) = 0.5

x2 = a + Δx(2) = 1

x3 = a + Δx(3) = 1.5

x4 = a + Δx(4) = 2

Now that we have the width of each rectangle, Δx = 0.5, and the right endpoints for the rectangles, x1 = 0.5, x2 = 1, x3 = 1.5, x4 = 2.

we can compute the right Riemann sum.

Computing the sum of the areas of the rectangles:

∑Δx f(x) =  ∑ 0.5f(xi)

= 0.5 f(x1) + 0.5 f(x2) + 0.5 f(x3) + 0.5 f(x4)  

= 0.5 (0.5) + 0.5 (1) + 0.5 (1.5) + 0.5 (2)

= 2.5

[tex]\int\limits^2_0 {x^{3} } \, dx[/tex]   ≈ 2.5

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Answer:

The transformation is a reflection over the y axis

Step-by-step explanation:

I attached The photo of answer

-TheUnknownScientist

Answer:

f(3) = 2

Step-by-step explanation:

See the attached graph.  f(3) = ____ is asking us to find the value of the function, f, at the point x = 3.  At x = 3, the value of y is 2.

Answer:

F .0-(-8) I think so..........................

Answer:

F is represented on the number line

Therefore , the solution to the given problem of equation comes out to be4x-3y = 6 as a standard equation in all the above options.

An equation is a representation of two identical variables in mathematics, one on either side of an equals sign. Common difficulties can be solved using equations. We frequently seek pre algebra help when faced with obstacles in real life. Lessons in pre-algebra cover the basics of mathematics.

Here,

Given : 4x-3y = 6

-4x + 2y =8

=> y = 4/5x + 4

=> 4/5x + 2y = 6

Thus ,

From the above following equations we get ,

4x-3y = 6

as a standard equation in all the above options.

Therefore , the solution to the given problem of equation comes out to be 4x-3y = 6 as a standard equation in all the above options.

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Answer:

A

Step-by-step explanation:

i got the same answer and got ir right

70-70-40 is an isosceles triangle.

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The rate of change for the graph, when x=0 and x=1 is 2 units.

What is average rate of change?

This expression represents the average rate of change of the function f(x) over the range a<=x<=b, is less than or equal to x, and is less than or equal to b -

[f(b)-f(a)]/b-a

​

The rate of change of graph is determined by the formula -

[f(b)-f(a)]/b-a

[f(1)-f(0)]/1-0

Here, in the graph it can be clearly seen that f(0)=-1 and f(1)=1.

Plugging in the values -

[1-(-1)]/1

(1+1)/1

2

Therefore, the rate of change is 2 units.

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Answer:

perimeter= 9+9π cm

area= 40.5-10.125π cm²

Step-by-step explanation:

area of the square =9x9=81cm²

area of the two semicircles which have the same diameter =area of one circle

= (9÷2)²π =(81÷4)π

area of the whole shaded part = 81- (81÷4)π cm²

the area of each shaded part= (81-(81÷4)π)÷2

= 40.5-10.125π cm²

circumference of 2 semicircles= circumference of 1 circle = 2πr = 2x9xπ= 18π cm

then are perimeter of the whole shaded part = 18π+9+9= 18+18π cm

perimeter of each shaded part = (18+18π)÷2=

9+9π cm

Answer:

$3424

Step-by-step explanation:

42800 x .08

.08 = 8%

There is no 7th period, so no you aren't in 7th period.

Answer:

A

Step-by-step explanation:

â' in mathematics refers to the hexadecimal representation of the number 10.

In machine code and assembly programming languages, hexadecimal is widely utilised. It is frequently used to refer to memory addresses. It can be used to represent numbers kept in a CPU's registers or in main memory, as well as during the debugging phase of designing a computer programme.

Although there are six more digits to consider, counting in hex is very similar to counting in decimal. When a digit position exceeds "F," you roll that place over to "0" and increase the digit to the left by 1. And once you've reached 1F16, move on to 2016 and keep churning the right-most

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Answer:

C) {6+√43, 6-√43}

Step-by-step explanation:

Applying,

x = [-b±√(b²-4ac)]/2a.................... Equation 1

From the question,

Given: a = 1, b = -12, c = 7

Substitute these values into equation 1

x = [-(-12)±√(-12²+4×1×7)]/2×1

x = [12±√(144+28)]/2

x = [12±√172]/2

either,

x = (12-√172)/2

x = (12-2√43)2

x = (6+√43)

or

x = (12+√172)/2

x = (12+2√43)/2

x = (6+√43)

Hence,

The right answer is C). {6+√43, 6-√43}

Answer:

(x, y ) → (x + 11, y - 11 )

Step-by-step explanation:

Consider the point U and its image U'

U (- 9, 1 ) → U' (2, - 10 )

This represents a shift of 2 - (- 9) = 2 + 9 = + 11 → in the x- direction and

- 10 - 1 = - 11 ↓ in the y- direction

This can be shown in the translation rule

(x, y ) → (x + 11, y - 11 )