Which equation correctly solves for x in △RST?

The value of x in the circle is given as follows:

x = 23.

The value of x in the circle is calculated using the tangent-secant theorem, which states that when a secant and a tangent are drawn to a circle from the same external product, the product of the length of the secant and of it's external segment equals the square length of the tangent segment.

The parameters for this problem are given as follows:

Then, the value of x is obtained applying the product from the tangent-secant theorem as follows:

(2x + 29)(2x + 2) = (3x - 9)²

4x² + 62x + 58 = 9x² - 54x + 81

5x² - 116x + 23 = 0.

Which is a quadratic equation with the coefficients given as follows:

a = 5, b = -116, c = 23.

Using a quadratic equation calculator, the solutions are given as follows:

More can be learned about the tangent-secant theorem at https://brainly.com/question/9132922

#SPJ1

The sine and cosine of the angle of point P are sin θ = 143/145 and cos θ = -24/145 respectively. Option b. is the answer

Given the coordinate of the point as P (-24/145, 143/145)

This implies x = -24/145 and y =  143/145

To determine the sine and cosine of the angle of point P, we can make a sketch using this information (see attached image).

opposite = 143/145, adjacent = -24/145

hypotenuse = √[(-24/145)² + (143/145)²] = √1 = 1

Using trigometric ratios:

sin θ =   (143/145) / 1 = 143/145    [sin θ = opposite/ hypotenuse]

cos θ =  (-24/145) / 1 = -24/145    [cos θ = adjacent/ hypotenuse]

Learn more about trigonometry on:

brainly.com/question/29354606

#SPJ1

should be about $625

Just add all the number up and then subtract the answer you got with the same number except 180 since that's what she has left over. correct me if I'm wrong.

Answer:

116.25 0r 116.30

Step-by-step explanation:

To find the hourly rate, divide the pay by the number of hours

So 46.50/4 = 11.625

You should round that to 11.63

Then, multiply the hourly rate by the number of hours worked the next day.

So 11.63 x 10 = 116.30

If the slope is a negative number for example, y = - x then it would go up one and to the left one because it's a negative number. Negative slopes will always go through the coordinate plant II and IV

Answer:

Step-by-step expl

The first three terms of an arithmetic sequence are as follows 17,13,9

Answer:

The Y=-2x coordinate plane is a two-dimensional plane that represents all possible points with coordinates that satisfy the equation Y=-2x. The Y axis is the vertical axis, and the X axis is the horizontal axis. A point on the Y=-2x coordinate plane can be represented by an ordered pair (x, y), where x is the distance of the point from the Y axis, and y is the distance of the point from the X axis. In the Y=-2x coordinate plane, the Y coordinate of a point is always equal to -2 times the X coordinate of that point.

Step-by-step explanation:

The length of the racing venue after the increase of 5 % is 26.25 km

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the increased length of the racing venue be = A

Let the total length of the racing venue be = 25 km

The percentage increase in the length of the racing venue = 5 %

So , the equation will be

Increased length of the racing venue = total length of the racing venue + ( percentage increase in the length of the racing venue x total length )

Substituting the values in the equation , we get

Increased length of the racing venue = 25 + ( 5/100 ) x 25

Increased length of the racing venue = 25 + ( 5/4 )

Increased length of the racing venue = 25 + 1.25

Increased length of the racing venue = 26.25 km

Therefore , the value of A is 26.25 km

Hence ,

The length of the racing venue after the increase of 5 % is 26.25 km

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ1

Answer:F. √x = 5-(x + 2)

Step-by-step explanation:

About 24 ,758 years have passed since the cave drawings were created.

If one's age is x now, one's age will be nx in the future. Age n years from now equals x + n if the age at currently is x. Age n years ago equals x - n if the current age is x. The ages will be ax and bx in the ratio a: b.

The time since birth, which is typically expressed as an exact number of years or a finished number of years, is known as a person's chronological age.

A is the current sum.

A0 is the original sum.

A0 = A0 A0 = A0 0.05 e-0.000121t

A / A0 = e-0.000121t

0.05 = e-0.000121t, 0.05 = ln e-0.000121t, 0.05 = -0.000121t, 0.05 = e, and 0.05 = -0.000121t, respectively.

To learn more about Estimation of age visit:

https://brainly.com/question/28792084

The artwork is 24,758 years old, according to the exponential equation's solution.

Exponents are frequently referred to as strengths or indices. In plain English, a power expression is one that depicts the same number being multiplied repeatedly, whereas an exponent is a quantity that depicts the powers to which the value is increased.

A = current amount

A₀ = original amount

0.05 A₀ = A

A = A₀ [tex]e^{-0.000121t}[/tex]

A / A₀ = [tex]e^{-0.000121t}[/tex]

0.05 = [tex]e^{-0.000121t}[/tex]

ln 0.05 = ln [tex]e^{-0.000121t}[/tex]

ln 0.05 = -0.000121t ln e

ln 0.05 = -0.000121t

-2.9957 ≈ -0.000121t

24758.11 ≈ t

About 24,758 years have passed since the cave drawings were created.

To know more about Exponential visit:

https://brainly.com/question/28596571

#SPJ4

The required equation of the line is given as y = 5x -6.

To determine the equation of a line passing through the point (-4, -11) and perpendicular to the line 4x + 5y = -45.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The slope of the given line
4x + 5y = -45
y = -4/5 - 45
m = -4/5

The equation of the perpendicular line is given as,
y - y₁ = -1/m (x - x₁)
Substitute the value in the above equation,
y + 11 = -1 / -4/5  (x + 4)
y = 5/4(x + 4) - 11
y = 5x + 5 - 11
y = 5x -6

As a result, the needed equation for the line is y = 5x -6.

Learn more about slopes here:
https://brainly.com/question/3605446

#SPJ1

Picture 1 has 5 green squares.  It is one square with a square coming out from each corner.

To learn more about table pattern  refer

https://brainly.com/question/23861422

#SPJ1

The length of the remaining rope is 3.73 meters.

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,

Length of the rope = 5 meters

Length of the rope that is cut away = 1.27 meters

The remaining length of the rope.

= 5 - 1.27

= 3.73 meters

Thus,

The remaining length of the rope is 3.73 meters.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

The area of the quadrilateral ABCD, with the vertices coordinates A(-4, -2), B(-3, 2), C(2, 4), and D(4, -3), is 18 square units

A quadrilateral is a four sided polygon, that has a sum of the interior angles of 360°

The area of the quadrilateral can be calculated as comprising of the area of two triangles, with vertices; B(-3, 2), C(2, 4), D(4, -3), and B(-3, 2), C(2, 4), A(-4, -2)

The area of a triangle with known coordinates of the vertices is precented as follows;

Let (x₁, y₁), (x₂, y₂), (x₃, y₃) represent, the vertices of the triangle, we get;

A = 0.5×|x₁·y₂ - x₂·y₁ + x₂·y₃ - x₃·y₂ + x₃·y₁ - x₁·y₃|

Therefore;

The area, A₁ of the triangle ΔBCD with vertices at the coordinates (-3, 2), (2, 4), (4, -3), is found as follows;

A₁ = 0.5 × |(-3)×4 - 2×2 + 2 ×(-3) - 4 × 4 + 4×2 - (-3)×4| = 9

Similarly, the area, A₂, of the triangle, ΔBCA with vertices (-3, 2), (2, 4), (-4, -2), is found as follows;

A₂ = 0.5 × |(-3)×4 - 2×2 + 2 ×(-2) - (-4) × 4 + (-4)×2 - (-3)×(-2)| = 9

The area of the quadrilateral, A = A₁ + A₂, is therefore;

The area of the A = 9 + 9 = 18

The area of the quadrilateral ABCD is 18 square units

Learn more about quadrilaterals here:

https://brainly.com/question/26690979

#SPJ1

Answer:

where is the question

Step-by-step explanation:

Please you need to write the full question so it can be answered

thanks

Answer:

a,b,d

Step-by-step explanation:

Answer:

Option A: 9 + 5t

Option B: 5 · t + 9

Option D: (5 × t) + 9

Step-by-step explanation:

Hope This Helped

Answer: [tex]h(x)=549(0.7)^{x}[/tex]

Step-by-step explanation:

Answer: 12 minutes

Let us suppose the number of minutes per month is 720. ( i have assumed this data from myself, you use any data you want, remember the procedure)

Now, Mark and his brother share the minutes every month equally.

So, clearly, Mark and his brother would get 360 minutes each every month.

Now, Mark has 360 minutes each month

therefore, Mark has 360/30 minutes per day

= 12 minutes each day.

Step-by-step explanation:

The number of pounds from one alloy is 2.71.

The number of pounds from another alloy is 39.29.

An equation is a mathematical statement of two expressions connected by an equal sign.

We have,

x = pounds from one alloy

y = pounds from the second alloy

Two equation.

28% of x + 59% of y = 30% of 42

0.28x + 0.59y = 0.30 x 42 ______(1)

x + y = 42 _____(2)

Now,

x = 42 - y ________ (3)

Putting (3) in (2)

0.28(42 - y) + 0.59y = 0.30 x 42

11.76 - 0.28y + 0.59y = 12.6

11.76 + 0.31y = 12.6

0.31y = 12.6 - 11.76

0.31y = 0.84

y = 2.71

Now,

x = 42 - y

x = 42 - 2.71

x = 39.29

Thus,

The number of pounds of each alloy is 2.71 and 39.29.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ1

The probability that, for a sample of 40 college games to be played next week, the mean number of holding penalties will be 2 penalties per game or more is of:

0.9582 = 95.82%.

The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The parameters for this distribution are given as follows:

[tex]\mu = 2.3, \sigma = 1.1, n = 40, s = \frac{1.1}{\sqrt{40}} = 0.1739[/tex]

The probability that the mean number of holding penalties will be 2 penalties per game or more is one subtracted by the p-value of Z when X = 2, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

Z = (2 - 2.3)/0.1739

Z = -1.73.

Z = -1.73 has a p-value of 0.0418.

Hence:

1 - 0.0418 = 0.9582 = 95.82%.

More can be learned about the normal distribution and the central limit theorem at https://brainly.com/question/25800303

#SPJ1

The hidden question (that uses $8.95 in the equation) along with the answer is mentioned below.

Given is to write a two-step problem that contains a hidden question about buying something at the mall.

The problem is as follows -

You are visiting a mall where you bought 10 chocolates each of $8.95. You had $100 with yourself. If you are left with with $x, then find x.

Answer to the problem -

We can write the equation for [x] as -

x = 100 - (8.95 x 10)

x = 100 - 89.5

x = 10.5

Therefore, the hidden question along with the answer is given above.

To solve more questions on equations, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ1

The quotient of the given division problem is 2 remainder is 13.

The number system is a way to represent or express numbers.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

As per the given division problem,

If we divide 77 by 32 then it goes to 2 times that is called the quotient.

The remainder is 77 - 32 x 2 = 13

Hence "The above division issue has a quotient of 2 and a remainder of 13.".

For more about the number system,

https://brainly.com/question/22046046

#SPJ1

The functions f and h are not the same because they are composed of different operations.

A function is a block of code that performs a specific task. It can accept input in the form of parameters, and may return an output. Functions are an important part of programming, as they allow for the repetition of code without having to write the same lines multiple times. This increases code readability and eliminates the need to debug multiple lines of code. Functions can also be reusable, meaning they can be called and used over and over again with different parameters.

Function f takes the ratio of two terms while function h takes the product of two terms. Additionally, the terms in the two functions are different. Function f takes the sum of x and 5 and the difference of x and 7 while function h takes the sum and the difference of the same two terms. As a result, the functions f and h will generate different outputs for the same input.

To learn more about Function
https://brainly.com/question/10439235
#SPJ4

Answer:

The ordered pair (3, 4) is found in the coordinate system when you move 3 steps to the right on the x-axis and 4 steps upwards on the y-axis.

Step-by-step explanation:

hope this helped:)

brainliest for the brains:)

Answer:

The total monthly mortgage payment for the house is $975.63

Step-by-step explanation:

your welcome