16. Find the length of x.

16. Find The Length Of X.

Answers

Answer 1

Answer: 4.8

Step-by-step explanation: By using the intersecting chords theorem, we know that 10 * x = 6 * 8

This simplifies to 10x = 48

After dividing both sides by 10 we get x = 4.8


Related Questions

Complete this division sentence.
5884÷94 =
R

Answers

The remainder of the given division 5884/ 94 is 56 and hence the complete sentence is 5884/94 = 62 + 56/94.

What is remainder and how to find a remainder?

The amount that remains after division is complete is known as a remnant. Simply divide the number by another number that is one of its multiples to obtain the remainder.

The division of any number can be written as follows:

a/n = q + r/n

where, a is the dividend, n is the divisor, r is the remainder and q is the quotient.

When we divide the number 5884 by 94 using the long division method the quotient is 62 and the remainder is 56.

Hence, the complete sentence is 5884/94 = 62 + 56/94.

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Given the example below, determine the property displayed.

7+3=3+7

Answers

Answer:

commutative property of addition

Step-by-step explanation:

commutative property of addition

The commutative property of addition allows you to change the order of the numbers in an addition.

For example, 1 + 2 = 2 + 1

Solve for x

Select the correct response:
A: 14
B: 19.25
C: 10
D: 6.5

Answers

The value of the x is 10.

What is the exterior angle theorem?

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two opposite(remote) interior angles of the triangle.

We have given,

angles of the triangle:

Interior angles :

∠D = 2x + 7,

∠E = 26°,

Exterior angle:

∠C = 6x - 7

To find x = ?

few common properties about the angles of a triangle:

A triangle has 3 internal angles which always sum up to 180 degrees.

It has 6 exterior angles and this theorem gets applied to each of the exterior angles.

Note that an exterior angle is supplementary to its adjacent interior angle as they form a linear pair of angles.

Exterior angles are defined as the angles formed between the side of the polygon and the extended adjacent side of the polygon.

So,

∠C  = ∠D + ∠E

6x - 7 = 2x + 7 + 26,

6x - 7 - 2x - 7 = 26,

4x - 14 = 26,

4x = 40

x = 40/4

x = 10,

Hence, the value of the x is 10.

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Which of the following best describes X on the scatter plot below?

Answers

The option that best describes X on the scatterplot is;

C: Outlier

How to Interpret a scatterplot?

Let us first define the terms in the given options before we analyze the scatterplot.

1) Negative correlation is defined as a relationship between two variables whereby one variable increases while the other decreases, and vice versa.

2) A nonlinear relationship is also referred to as nonlinear association, and it exists when a constant change in the independent variable does not result in a constant change in the dependent variable.

3) An outlier is defined as a data point that differs significantly from other observations.

4) Clusters are small populations that a wider population is divided into.

Now, from the scatter plot, we see that X is isolated from the plotted points which tells us that it differs greatly from the other points and as such it fits the definition of an outlier.

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The missing options are;

A. negative correlation

B. nonlinear association

C. outlier

D. cluster

If g(x) = x³ - 2x, find the value of g(2+h)-g(2)dividebyh answer is h square plus six h plus ten

Answers

Answer: To find the value of g(2+h)-g(2) divided by h, we can use the definition of the derivative. The derivative of a function at a point is a measure of the slope of the function at that point, and it can be calculated by taking the limit of the difference quotient as h approaches 0.

The difference quotient is defined as:

[g(2+h) - g(2)] / h

So, to find the derivative of g at x=2, we can substitute the value of x in the function g(x) and take the limit as h approaches 0:

lim h→0 [g(2+h) - g(2)] / h

Substituting the value of x in the function g(x), we get:

lim h→0 [(2+h)³ - 2(2+h) - (2² - 2*2)] / h

This simplifies to:

lim h→0 [8+6h+h²-2h - 4] / h

Which simplifies to:

lim h→0 [h²+6h+4] / h

And, finally:

lim h→0 [h(h+6)] / h

The limit of a quotient is equal to the quotient of the limits, as long as the limit of the denominator is not 0. In this case, the limit of the denominator (h) is 0, but the limit of the numerator (h(h+6)) is not. Therefore, we can safely take the limit:

h+6

So, the derivative of g at x=2 is h+6. When h=0, the derivative is equal to the function's value at that point, so the value of g(2) is 6.

Therefore, the value of g(2+h)-g(2) divided by h is:

(h+6) - 6 / h

Which simplifies to:

h / h

Which is equal to:

1

So, the final answer is 1.

Step-by-step explanation:

Write the following expression in expanded form:9 to power of 3× 7to the power of 4

Answers

Exponential Expressions into Expanded Form into Answer:

[tex]9^{3}[/tex] = 9⋅9⋅9 = 729

[tex]7^{4}[/tex] = 7⋅7⋅7⋅7 = 2401

I hope this helps, have a good day!

Answer:


= 9⋅9⋅9 = 729

= 7⋅7⋅7⋅7 = 2401

Step-by-step explanation:

The water depth in a harbor rises and falls over time. The function f(t) = 4.1 sine (StartFraction pi Over 6 EndFraction t minus StartFraction pi over 3 EndFraction) + 19.7 models the water depth, in feet, after t hours.

During the first 24 hours, at what times does the water depth reach a maximum?

Answers

Answer:

Below

Step-by-step explanation:

f(t) = 4.1 (sin pi/6 t  - pi/3) + 19.7    <===will be a maximum when the sin portion is equal to 1

   so    sin ( pi/6 t - pi/3) = 1     given that sin is equal to one   at 0 and pi and 2 pi  and 3 pi    and 4 pi   etc

              pi/6 t - pi/3 =  0  or pi , 2 pi, 3 pi  , 4 pi

                  then t = 2 and 8 and 14   and 20 hrs  ( every 6 hrs starting with t = 2)

Will mark brainliest!!
Consider the circumscribed angle. Determine the value of x.

1)

x = 12


2)

x = 29


3)

x = 4.75


4)

x = 17

Answers

Answer:

x = 12

Step-by-step explanation:

i. 29 = 2x + 5 [The length of two tangents to a circle at the point of contact from the same external point are equal]

ii. 29 - 5 = 2x

iii. 24 = 2x

iv. x = 24/2

v. x = 12

Simplify the following rational expression. Be sure to state the condition.

Answers

The simplified form of the rational expression (x²+5x+6)/(3x+6) is (x+3)/2.

And we used factorization to find the simplified form.

What is factorization?

Factorization is a process to simplify the expression by finding the factors of that expression.

And to find the same expression from factors, you have to reverse the process.

Given:

The rational expression,

(x²+5x+6)/(3x+6).

Simplifying,

the expression using factorization method.

First, (x²+5x+6),

= x²+2x+3x+6

= x(x+2)+3(x+2)

= (x+2) (x+3)

And 3x+6 = 3(x+2)

Substituting the simplified values to the given expression,

(x²+5x+6)/(3x+6),

= (x+2) (x+3) / {3(x+2)}

Factor out the common factor,

= (x+3)/2

Therefore, the simplified form is (x+3)/2.

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Read the situations in the table below. Then drag a graph and equation to represent each situation. Indicate whether each of the relationships is proportional or non-proportional.

Answers

The equation for situation 1 is y=4x and is directly proportional and the situation two will have equation y=x+4 and is not proportional.

What are linear equations?

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here, graph 1 varies 4 times the x value every time there is an increase of 1 in the x-axis and in graph 2 it is a linear equation with intercept at 4 and thus the graph increases with +4 and   A proportional relationship exists between two values x and y when they can be expressed in the general form y = kx,

Hence, The equation for situation 1 is y=4x and is directly proportional and the situation two will have equation y=x+4 and is not proportional.

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Math- algebra 1 - please help

Answers

For both pizzas A and B to cost the same, there must be 5 toppings. Equations can be categorized as identities or conditional equations.

what is equation ?

The number is said to be in its simplest form when divided into its smallest equivalent fraction. What should be done to find the most basic form. Look for common factors in the numerator and denominator. Verify a fractional integer to verify if it qualifies as a prime number. A statement having two equilateral triangles and an equivalent sign in the middle is called an equation in mathematics. The general form of any equation contains the degrees of all the variables in descending order. The conventional form of a linear model is an x + b = 0. The general form of a linear equation with two variables is an x + b y + c = 0. (or something similar). Equations can be categorized as identities or conditional equations. An identity holds true regardless of the value given to the variables.

given

number of toppings be x

number of toppings for pizza A = $10 + x*$1.5

number of toppings for pizza B = $12.5 + x*$1

10 +1.5x = 12.5 + x

10 -12.5 = x- 1.5x

-2.5 = - 0.5x

x = 5

For both pizzas A and B to cost the same, there must be 5 toppings.

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A traffic radar records the speed of cars driving through an intersection. It records these statistics:

Mean=36.2 mph
Median=28.5 mph
Mode=30.0 mph

What is the most common speed of a car driving through the intersection?
a. 31.6
b. 36.2
c. 30.0
d. 28.5

Answers

The most common speed of a car driving through the intersection is 30.0 mph which is indicated by the Mode.

What is the mode of data?

A mode of data is defined as an observation with the highest frequency among the values that appear most frequently in the given data.

In the case of ungrouped data, all that is required is to find the observation that happens most frequently.

A traffic radar records the speed of cars driving through an intersection. It records these statistics:

Mean = 36.2 mph

Median = 28.5 mph

Mode = 30.0 mph

As per the question, a car driving through the intersection at 30.0 mph is the most common speed.

This is indicated by the Mode which is the value that appears most frequently in a data set.

Hence, the correct answer would be an option (C).

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Trace triangle JKL and point P.

Draw the dilation of AJKL

using scale factor 3 and P

as the center of dilation,

Answers

The dilation of triangle JKL, with point P at the origin and scale factor of 3, is graphed on the image shown at the end of the answer.

What is a dilation?

A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.

The coordinates of the vertices of the original triangle JKL for this problem are attributed as follows:

J(1,1).K(1,5).L(4,1).

The scale factor of the dilation is given as follows:

k = 3.

Meaning that each coordinate of each vertex of the triangle will be multiplied by 3, thus obtaining the coordinates of the vertices of the image of triangle JKL after the dilation, as follows:

J'(3,3).K'(3,15).L'(12,3).

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If Nayesha pumps 9.4 gallons of gas in her gas tank and each gallon costs $2.98, how much money will she spend? QUCIKLY

Answers

Answer:

28.012

Step-by-step explanation:

9.4*2.98 = 28.012

In Exercises 13-15, use f(x) = x² and g(x) = 4x - 6 to find h(x).

13. h(x) = f(x) - g(x)

14. h(x) = f(g(x))

15. h(x) is the inverse of g(x)

Answers

The value of the function h(x) is x² -  4x +6 and 4-6 x².

What is a formula for a function?

Any function's x-intercept, y-intercept, and slope can be calculated using function formulas. You could also determine a quadratic function's vertex. Additionally, the function can be graphed for various x values.

Simply adding the values of the functions f(x) and g will yield the value of the function f(x) and g(x).

Therefore, we get

f(x) = x² and  we have g(x) = 4x - 6

h(x) = f(x) - g(x)

h(x) =   x² -  4x +6

h(x) = f(g(x))

     =  x²( 4x - 6)

     = 4-6 x²

h(x) is the inverse of g(x)

   = inverse of 4x - 6

   = 1/ 4x - 6

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can you simplify 2/6?

Answers

Answer:

1/3

Step-by-step explanation:

2÷2=1

6÷2=3

Solution: 1/3

the slope to (9, -10), (0, 8) with the work shown please.

Answers

Answer:

-2

Step-by-step explanation:

To find the slope, subtract y1 - y2, then divide by x1-x2

The y numbers in this set is -10 & 8

The x numbers in this set is 9 & 0

-10-8= -18

9-0 = 9

-18/9 = -2

The slope would be -2

Please help will mark Brainly

Answers

The first equation in the second system is a multiple of  second equation

is the first equation and the second equation  in the second system is a multiple of both equation in the first system

What is simultaneous equations? Simultaneous equations are two or more algebraic equations that share variables e.g. x and y . They are called simultaneous equations because the equations are solved at the same time. Each of these equations on their own could have infinite possible solutions.In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are soughtSimultaneous equations are two or more algebraic equations with the same unknown variables and the same value of the variables satisfies all such equations. This implies that the simultaneous equations have a common solution. Some of the examples of simultaneous equations are: 2x - 4y = 4, 5x + 8y = 3On occasions you will come across two or more unknown quantities, and two or more equations relating them. These are called simultaneous equations and when asked to solve them you must find values of the unknowns which satisfy all the given equations at the same time.

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Lena had 149 dollars to begin with. She just spent k dollars. Using k, write an expression for the number of dollars she has left.

Answers

Therefore , the solution to the given problem of expression comes out to be  149-k =x be used it as its expression.

Define Expression .

A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to compare expressions and phrases. In English, a phrase by itself could contain an action, but it doesn't constitute a full sentence. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

Here,

Given :  Lena has $149

she spends k amount of money

The money left be x

=> 149-k =x

Therefore , the solution to the given problem of expression comes out to be  149-k =x be used it as its expression.

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Compare.
2.2O 14/4
A. <
B. >
C. =

Answers

Answer:≤ sorry if it's wrong I'm not a fan of math

Step-by-step explanation:

Find the value of x.
30°
105°
xo

Answers

Exterior angle of triangle x has a value of 135 in this sentence.

What is the simplest technique to measure angles?

A protractor can be used to measure angles precisely. Angles are measured in degrees, hence the term "degree measure." Since one full revolution is equivalent to 360 degrees, it is divided into 360 segments.

What exactly is the triangle rule?

According to the "sides of a triangle rule," any two sides of a triangle must add up to be longer than the third side.

By extending one side of the triangle, an external angle is formed. An exterior angle is the angle formed by the stretched side and the side that is immediately adjacent.

Practice. Triangle Angle Measurement

via the triangle's external angle characteristic, x = 105 + 30 = 135.

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13 People fit comfortably in a 5 feet by 5 feet area. Use this value to estimate the size of a crowd that is
5 feet deep on both sides of the street along a 2.7-mile section of a parade route.

Answers

The size of the crowd that is 5 feet deep on both sides of the street along a 2.7 -mile section of a parade route is 74,131 people.

How to calculate the crowd?

The number of people that can fit comfortably in a 5 feet by 5 feet area = 13.

Therefore;

The ratio of the number of people per unit area = 13/(5 × 5) = 13/25

The area A occupied by the crowd = 5 feet × 2.7 mile × 2

2.7 miles = 14,256 feet

∴ A = 5 feet × 14,256 feet × 2 = 1,42,560ft²

We then have:

[tex]\frac{number\ of\ people}{1,42,560} = \frac{13}{25}[/tex]

∴Number of people = 13/25 × 1,42,560 = 74,131.2 ≈ 74,131 people

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Question 5(Multiple Choice Worth 2 points)
(Sample Spaces LC)

A paper bag has seven colored marbles. The marbles are pink, red, green, blue, purple, yellow, and orange. List the sample space when choosing one marble.

A s= (1, 2, 3, 4, 5, 6

B s=(purple, pink, red, blue, green, orange, yellow}

C s=(g. r, b. y. o, p)

D s= (green, blue, yellow, orange, purple, red)

Answers

The sample space when choosing one marble will be B s=(purple, pink, red, blue, green, orange, yellow}

What is sample space?

A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of possible experiment results. Depending on the experiment, a sample space may contain a variety of outcomes.

A paper bag has seven colored marbles. The marbles are pink, red, green, blue, purple, yellow, and orange. The sample space when choosing one marble will be all the colors. The correct option is B.

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Determine which two numbers come next in the sequence 5,5,10,15,25, __, __

Answers

The two numbers that come next in the sequence 5,5,10,15,25, are 40 and 65.

How can the  two numbers that come next in the sequence be calculated?

To calculate this , You can figure it out by taking the first number, which is 5. However, since the previous number is 0, the sum is 5, and you proceed in the same manner.

5 + 5 = 10

(5 + 10) = 15

(10 + 15) = 25

(15 + 25) = 40

(25 + 40) = 65

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Rewrite the following expression using the Distributive Property. 5(2x -8)

A. -30x
B. 10x -40
C. 10x + 40
D. 10x -8

I think it is either B or C but I'm not sure.

Answers

Answer:

B. 10x -40

Step-by-step explanation:

To rewrite the expression 5(2x-8) using the distributive property, we need to separate the expression inside the parentheses and then multiply the two expressions by 5. The answer is: 10x-40.

B is right just distribute them and you’ll see the negative sign appearing in the answer

3
Use the drawing tool(s) to form the correct answer on the provided graph.
The function f(x) is shown on the provided graph.
Graph the result of the following transformation on f(x).
Drawing Tools
Select
Line
Click on a tool to begin drawing
-10
-8
f(z) + 6
-6
4
-2
10-
8-
6
Delete
Undo
Reset
10

Answers

-1 on the left x-axis and 4 on the right y-axis.

Start at -2 on the y-axis, move up the y-axis six times, and you should arrive at 4. However, you must identify the first line in order to complete the puzzle.

Start at -2 on the y-axis, count up until it is on a corner of the graph, then move 4 up on the y-axis and once to the right, making the fraction 4/1.

Since you should be at 4, apply the formula rise/run 4/1 to ascend 6 on the y-axis.

step 1: ascend the y-axis six times.

Step 2: Use 4/1 to increase from the y-4 axis's by 1  to the right

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let there be 800 people at school. prove that 3 of them do share a birthday. how can we prove it according to the pigeonhole principle?

Answers

According to the Pigeonhole Principle, if you have more objects than available spaces, then at least two of the objects must occupy the same space. In this case, we have 800 people at school, and only 365 days in a year. This means that at least three of the people must share the same birthday, since there are not enough days in the year for each person to have a unique birthday.

The volume of
a refrigerator, in cubic centimeters, is given
by the function V(x) = (x)(x + 1)(x – 2). Write a
new function for the volume of the refrigerator
in cubic millimeters if x is in centimeters.

Answers

The newly rewritten function expression of V(x) is V(x) = (x)(x + 1)(x – 2)/1000

How to rewrite the function expression?

From the question, we have the following parameters that can be used in our computation:

A function expression

The function expression is given as

V(x) = (x)(x + 1)(x – 2)

Where if x is in centimeters and V(x) is in cubic centimeters

The new function for the volume of the refrigerator is stated to be in cubic millimeters

Using the above as a guide, we have the following:

1 cubic centimeters = 1000 cubic millimeters

So, we have

V(x) = (x)(x + 1)(x – 2)

1 cubic centimeters = 1000 cubic millimeters

Cross multiply

V(x) * 1000 = 1* (x)(x + 1)(x – 2)

Divide both sides by 1000

V(x) = (x)(x + 1)(x – 2)/1000

Hence, the function is V(x) = (x)(x + 1)(x – 2)/1000

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Anthony's brother was 0.45
meters tall last year. He grew
another 0.5 meters this past
year. How tall is he now?

Answers

Answer:

0.95meters

Step-by-step explanation:

last year her was 0.45m tall

this past year he is 0.5m

Total = 0.45 + 0.5 = 0.95

Answer: 0.95

Step-by-step explanation: add 0.45+0.5=0.95

Aftab pays £3.10 per concrete slab. (b) How much will it cost Aftab to buy enough concrete slabs to make the patio?​

Answers

To determine how much it will cost Aftab to buy enough concrete slabs to make the patio, you will need to know the size of the patio and how many slabs are needed to cover it. Once you have this information, you can multiply the number of slabs by the cost per slab to find the total cost. For example, if the patio is 10 square meters and requires 20 concrete slabs to cover it, the total cost would be 3.10 * 20 = £62.

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