i need the answer to the top

Given that ABC is a right-angled triangle and that AB, BC, and CA are tangents to the circle, the value of x is 2 cm.

Since a triangle has three parts and three vertices, it is a polygon. It is a fundamental geometric shape. Triangle ABC is the moniker given to one triangle that has vertex shader A, B, and C. When the three principles are not collinear, a singular plane and triangle are found in Euclidean geometry. A triangle is a polygon if it has three sections and three corners. The points where the sides meet are known as the triangle's corners.

given

To find : radius 'r' of the incircle.

ABC is a right angled triangle

=100

⇒ BC= 100 =10cm

Since area of right anged triangle = 1/2×base×height

⇒ Area of △ABC= 1/2×6×8

=3×8=24cm 2

⇒ Area of △ABC=24cm 2 ....(1)

Also, Area of △ABC= area of △OAC+ area of △OBC+ area of △OBA

= 1/2 ×r×8+ 1/2 ×r×10+ 1/2 ×6×r= 1/2* r(8+10+6)= 1/2r(24)=12r....(2)

Equating (1) and (2) 12r=24

⇒ r= 12/24 =2cm

Given that ABC is a right-angled triangle and that AB, BC, and CA are tangents to the circle, the value of x is 2 cm.

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The complete question :- In fig. 4 triangle ABC is a right triangle with AB=6 cm, AC=8 cm and ∠A=90∘ . A circle with center O is inscribed inside the triangle. Find the radius 'r'

Answer:

The correct answer is A

I hope that helped.

Step-by-step explanation:

We cannot construct a triangle with side lengths 3.5 cm, 9.2 cm and 5.3 cm. So it is not possible to construct a triangle whose sides are 3.5 cm 9.2 cm and 5.3 cm. This is because these lengths does not follow triangle inequality theorem.

It is not possible to construct a triangle using the given side lengths of 3.5 cm, 9.2 cm, and 5.3 cm. This is because of the Triangle Inequality Theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

In this case, if we take 3.5 cm and 5.3 cm as two sides, the sum of their lengths is 8.8 cm. But the length of the third side (9.2 cm) is greater than 8.8 cm, so these three side lengths cannot form a triangle.

It is important to note that this theorem applies to any triangle, whether it is acute, right or obtuse-angled triangle.

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The volume of the square pyramid is 2011.4 ft². The result is obtained by multiplying the area of base by height of the pyramid, then dividing it by 3.

A pyramid is a polyhedron that has one base and lateral faces with the vertex at the top of the pyramid. The shape of lateral faces is always a triangle. While, the shape of the base varies and is used to name the pyramid.

The volume of the pyramid can be expressed as

V = ⅓ Bh

Where

A pyramid with a square base has the side length of base of 19.3 ft. The height of the pyramid is 16.2 ft. Find the volume of the pyramid!

The area of base is

B = s²

B = 19.3 × 19.3

B = 372.49 ft²

The volume of the pyramid is

V = ⅓ Bh

V = ⅓ (372.49 ft²) (16.2 ft)

V = ⅓ (6034.338) ft²

V = 2011.446 ft²

V ≈ 2011.4 ft²

Hence, the volume of the pyramid with a square base is 2011.4 ft².

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Answer:

B) Alternate Interior Angles Theorem

Step-by-step explanation:

If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent. In the above diagram, m∠3 ≅ m∠6

HI is 7 because all sides are equal. K is 100 because J is 40 and L is also 40 because they are equal. All triangles are equal to 180. 40+40+100=180

A mile is 5,280 feet long and an hour is 3,600 seconds long, thus 60 miles per hour is 60 x 5,280 / 3,600 = 88 feet per second.

How Do I Determine the Unit Rate? The denominator of a unit rate is always 1. To calculate the unit rate, divide the denominator by the numerator so that the denominator equals 1. For example, if 50 kilometers are reached in 5.5 hours, the unit rate is 50 kilometers/5.5 hours = 9.09 kilometers per hour.

Miles per hour is a relatively typical example of a unit rate that we face on a daily basis. This rate is a unit rate since it describes the number of miles in one hour.

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Answer:

The car can only last for 5 hours.

That's the answer I got.

5.84269662

Step-by-step explanation:

Alright so say I was driving for 2 hours I would have,

342 miles left.

If I were driving for 3 hours I would have,

253 miles left.

If I were driving for 4 hours I would have,

164 miles left.

Now if I were driving for 5 hours I would have,

75 miles left.

Answer: It is C I got it right on the exam

Step-by-step explanation:

Answer:

20x -64

Step-by-step explanation:

(−2)5x(−2)-3 2×2​

2x5x x2-32x2

20x-32 x 2

20x -64

According to the normal distribution data given the value for x is obtained as 687.5.

What is normal distribution?

One of the families of continuous distributions, the standard normal distribution has a mean of zero and a standard deviation of one. Since most observations are grouped around the mean and mean=median=mode, the distribution is symmetric at the mean zero.

The value for mean is μ = 700.

The value for standard deviation is σ = 50.

The probability value is 0.6.

Use z score formula to solve for value of x -

P (X>x) = 0.6

0.6 = 1 - P (X>x)

0.4 = P[{(X-μ)/σ} ≤ {(x-700)/50}]

z0.4 = (x-700)/50

-0.25 = (x-700)/50

x = (-0.25 × 50) + 700

x = -12.5 + 700

x = 687.5

Therefore, the value for x is 687.5.

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3/4 and 9/10 using the least common denominator is 15/20 and 18/20.

LCM of two or more than two given numbers is the smallest common multiple that is divisible by two or more than two given numbers.

Given, are two fractions 3/4 and 7/10 we know the LCM of 4 and 10 is 20.

∴ (3×5)/(4×5) and (7×2)/(10×2).    

(we have to multiply same constant to the fraction to retain it's original value).

So,  3/4 and 4/10 using the least common denominator is 15/20 and 14/20.

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Answer:

the first and the third

Step-by-step explanation:

Answer:

x = 16

y = 11

Step-by-step explanation:

x+y = 27

x-y = 5

__________

2x = 27+5

2x = 32 /:2

x = 16

16+y = 27

y = 27-16

y = 11

The finance charge on the average daily balance for the one month is $2.07.

The finance charge is the interest and other fees charged on a credit facility.

To compute the finance charge, we apply the annual percentage rate (APR) on the Average Daily Balance, multiplied by the number of days in the billing cycle, and divided by 365.

Days 1-3: $200 (initial balance)            $600 ($200 x 3)

Days 4-20: $300 ($100 purchase)    $5,100 ($300 x 17)

Days 21-30: $150 ($150 payment)    $1,500 ($150 x 10)

Total = $7,200

Average Daily Balance = $240 ($7,200/30)

APR interest rate = 10.5%

MPR interest rate = 0.875% (10.5%/12)

Finance Charge = $2.07 ($240 x 10.5% x 30/365)

Or $ ($240 x 0.875%)

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The slope of the line is -4.

Slope is simply expressed as change in y over the change in x.

Slope m = ( y₂ - y₁ )/( x₂ - x₁ )

From the diagram, the graph passes through point ( 0,2) and (1,-2)

Point 1( 0.2 )

x₁ = 0

y₁ = 2

Point 2( 1,-2 )

x₂ = 1

y₂ = -2

To determine the slope of the line, plug the coordinates into the above slope formula.

Slope m = ( y₂ - y₁ )/( x₂ - x₁ )

Slope m = ( -2 - 2 )/( 1 - 0 )

Slope m = ( -4 )/( 1  )

Slope m = -4/1

Slope m = -4

Therefore, the slope of the line is -4.

Option A is the correct answer.

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The reason why these triangles are similar is A. AA.

A similar triangle is a triangle in which the corresponding angles are congruent (equal in measure) and the corresponding sides are in proportion. This means that the corresponding sides of two similar triangles are in the same ratio, but the triangles may be different sizes.

A triangle is a three-sided polygon. It is defined by three points in a plane, called its vertices, and the straight lines connecting each pair of these points, called its sides. The three angles of a triangle always add up to 180 degrees.

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A graph which represents the inequality y is less than negative one-third times x plus 1 is shown in the image below.

In Mathematics, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:

In order to determine and plot the graph which represents the inequality, we would first of all translate the word problem into an algebraic equation as follows;

y is less than or equal to one-third times x plus 1 ⇒ y < x/3 + 1.

Next, we would use an online graphing calculator to graphically solve the given inequality.

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Answer:

B

Step-by-step explanation:

The graph shows the answer accurately

The value of x in the quadrilateral is 23.

A quadrilateral is a polygon with 4 sides. The sum of interior angles in a quadrilateral is 360 degrees.

The sum of exterior angles in a quadrilateral is 360 degrees.

Therefore, let's find the value of x in the quadrilateral.

Hence,

6x + 5x + x + 16 + 3x - 1 = 360

combine like terms

6x + 5x + x + 3x + 16 - 1 = 360

15x + 15 = 360

subtract 15 from both sides of the equation

15x = 360 - 15

15x = 345

divide both sides by 15

x = 345 / 15

x = 23

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The expression 30m × 2.01m will be 60.3m²

In Mathematics, it is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information.

In this case, it is vital to note that they have at least two terms which have to be related by through an operator. Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.

The value of the expression will be:

= 30m × 2.01m

= 60.3m²

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Answer:

I think 35

Step-by-step explanation:

Answer:

(1,-1)

Step-by-step explanation:

my guy, are you good? dude this question is so easy l m a o

anyways, heres the explanation

where there is an "x," replace it with a 1

so: -4-9y = 5

-9y = 9

y = -1

and the question already gives you what x is so:

(x,y)

(1,-1)

It's important to note that equation y = x - 1 + 4 and y = x + 3 are in slope-intercept form, which is a common way to write linear equations.

How to determine the equivalent equation?

To determine if two equations are equivalent, you can check if they represent the same line in the cartesian plane. The following methods can be used to determine equivalent equations:

The following equations are equivalent to y - 4 = (x - 1):

y = x - 1 + 4

y = x + 3

y - 4 = x - 1 + 4

y - 4 = x + 3 - 4

(y - 4) + 4 = (x - 1) + 4

y = x - 1 + 4

All of the above equations have the same slope and y-intercept, which means they represent the same line in the cartesian plane.

It's important to note that equation y = x - 1 + 4 and y = x + 3 are in slope-intercept form, which is a common way to write linear equations.

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An exponential function is a function in which the variable appears in an exponent.

The most common form of an exponential function is f(x) = aˣ, where a is a positive constant, known as the base of the function, and x is the variable. The variable x is called the exponent of the function.

The base, a, determines the growth rate of the function. If the base is greater than 1, the function will increase rapidly as x increases. If the base is between 0 and 1, the function will decrease rapidly as x increases.

Exponential functions can also be written in the form y = a×bˣ, where a and b are constants, b is the base and x is the exponent. In this form, a represents the y-intercept of the function, which is the point where the function crosses the y-axis.

An exponential function can be recognize by the presence of the variable in an exponent and the graph of an exponential function is a curve that goes up and to the right if the base is greater than 1, and goes down and to the right if the base is between 0 and 1.

In conclusion, an exponential function is a function in which the variable appears in an exponent and is defined as f(x) = aˣ or y = a×bˣ, where a is the base of the function and x is the exponent.

The base determines the growth rate of the function and the graph of an exponential function is a curve that goes up and to the right if the base is greater than 1, and goes down and to the right if the base is between 0 and 1.

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It is possible that Lance ay that 2,376 ÷10 by the power of 2 i the ame a 2,376 x 0. 1 i he correct

The power (or exponent) of a number says how many times to use the number in a multiplication. It is written as a small number to the right and above the base number. In this example the little "2" says to use 8 two times in a multiplication: 82 = 8 × 8 = 64.

What are powers?

A power is the product of multiplying a number by itself. Usually, a power is represented with a base number and an exponent. The base number tells what number is being multiplied. The exponent, a small number written above and to the right of the base number, tells how many times the base number is being multiplied.

Since 2376÷10

It will give us

237.6

So to convert to standard form it will be

2376×10^-1

How

Since the point has been shifted to the right side

And it will definitely give us 2376.0

But the point zero is not necessary

10^1 also means 0.1

So it is possible

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Answer:

4^2 or 16

Step by step explanation:

4^5 = 4x4x4x4x4

4^3 = 4x4x4

4^5 ÷ 4^3 = 4x4x4x4x4 ÷ 4x4x4 = 4x4

4x4 = 4^2 = 16

Answer:It is not possible to answer this question without knowing the rate at which the other person was running.

Step-by-step explanation: