Points A, B, C, D, and E are collinear and AC= 16 What is x?​

Points A, B, C, D, And E Are Collinear And AC= 16 What Is X?

Answers

Answer 1

Answer:

[tex] x = 3 [/tex]

Step-by-step explanation:

Since points, A, B, C, D and E are collinear, AB = x + 7, BC = 2x, AC = 16, therefore:

[tex] AB + BC = AC [/tex]

[tex] (x + 7) + 2x = 16 [/tex]

Solve for x

[tex] x + 7 + 2x = 16 [/tex]

[tex] 3x + 7 = 16 [/tex]

Subtract both sides by 7

[tex] 3x + 7 - 7 = 16 - 7 [/tex]

[tex] 3x = 9 [/tex]

Divide both sides by 3

[tex] \frac{3x}{3} = \frac{9}{3} [/tex]

[tex] x = 3 [/tex]


Related Questions

Help with brothers math homework?I can't help because I forgot how to do this​

Answers

Answer:

See below.

Step-by-step explanation:

The range of a graph is the span of y-coordinates the graph covers.

From the graph, we can see that the graph covers all y-values between the values of y=-8 and y=7.

Therefore, the range is all of the numbers in between them including them.

In interval notation, this is:

[tex][-8,7][/tex]

We use brackets instead of parentheses because we include the numbers.

And in set notation, this is:

[tex]\{y|-8\leq y\leq 7\}[/tex]

Answer:

Hey there!

The range is the possible y values.

Thus, we see here that the range is all numbers from -8 to 7.

Let me know if this helps :)

Micha washed a car in 20 minutes. At this rate, how many hours would it take to wash 9 cars?

Answers

Answer:

3 hours

Step-by-step explanation:

he washed one car in 20 minutes so 9 cars will be 20 x 9=180minutes which is 3 hours

The formula for the area of a triangle is A = 1/2bh, in which b represents the length of the base and h represents the height. If a triangle has an area of 328 mm^2 and the height is 16 mm, what is the measure of the base?

Answers

Answer:

b = 41 mm

Step-by-step explanation:

From the question

Area of a triangle is given by

[tex]A = \frac{1}{2} bh[/tex]

where

b is the length of the base

h is the height

From the question

Area = 328 mm²

height = 16 mm

Substitute the values into the above formula and solve for the height

We have

[tex]328 = \frac{1}{2} \times 16b \\ 328 = 8b[/tex]

Divide both sides by 8

We have the final answer as

b = 41 mm

Hope this helps you

Melissa and Rachel like to make funny hats. Melissa has made 202020 zebra-printed hats, and Rachel has made hhh striped hats. Together they have made a total of 424242 hats. Write an equation to describe this situation.

Answers

Answer:

42= 20 +h

Step-by-step explanation:

Given from the problem statement

Melissa has made 20 zebra-printed hats

and Rachel has made h amount of striped hats

and also the total amounts of hats made by both of them is 42 hats

We can write a simple equation for the scenario as

[tex]42= 20 +h[/tex]

We can solve the equation to know the amount of hats made by  Rachel

[tex]42= 20+h\\\\h= 42-20\\\\h= 22[/tex]

Hence Rachel has made 22 hats

A bag contains 6 red marbles, 2 green, and 4 blue marbles. You randomly pick a marble and then pick a second marble, returning the marbles to.the bag each time. What is the probability of pulling a blue marble first and then a red marble.second?

Answers

Answer:

Probability of pulling a blue marble is 1/3 about 33% chance

Probability of pulling a red marble is 1/2 = 50% chance

Step-by-step explanation:

Total marbles = 6+2+4 = 12

4 of those 12 are blue

4/12=1/3 when reduced

________________________

Total marbles are still = 12

6 of the 12 are red

6/12=1/2 when reduced

Hope this helps! :)

Suppose the average yearly salary of an individual whose final degree is master's is $40 thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $110 thousand. Find the average yearly salary of an individual with each of these final degrees.

Answers

Answer:

x=50000  dollars ( the average salary of bachelor degree)the average salary of Masters degree = 2x-400002(50000)-40000=60000 dollarsstep by step explanation :

let x be the salary of individual with bachelor degree

Then the average salary of individual with Masters degree is:

(2x-40000)

the combined of two salaries is 110000:

x+(2x-40000)=110000

3x-40000=110000

3x=110000+40000

x=150000/3

x=50000  dollars ( the average salary of bachelor degree)the average salary of Masters degree = 2x-400002(50000)-40000=60000 dollars

Factor of 3x-3a+xy-ay

Answers

Answer:

(3 - y) & (x - a) are the factors

Step-by-step explanation:

3x-3a+xy-ay

=> 3x - xy - 3a - ay

=> x(3 - y) - a(3 - y)

=> (3 - y)(x - a)

(3 + y) & (x - a) are the factors of the expression 3x-3a+xy-ay.

Here, we have,

given that,

the expression is : 3x-3a+xy-ay.

now, we have,

To factor the expression 3x - 3a + xy - ay, we can group the terms as follows:

3x-3a+xy-ay

=> (3x - 3a) + (xy - ay)

Now, let's factor out the common factors from each group:

=> 3(x - a) + y(x - a)

Notice that both terms now have a common factor of (x - a).

We can factor out this common factor:

=> (x - a)(3 + y)

Therefore, the factored form of the expression 3x - 3a + xy - ay is (x - a)(3 + y).

Hence, (3 + y) & (x - a) are the factors of the expression 3x-3a+xy-ay.

To learn more on Expression click:

brainly.com/question/14083225

#SPJ2

calculate the perimeter of a semi circle whose radius is 21cm​

Answers

Radius of semicircle r = 21 cm

Perimeter of semicircle

= pi*r + 2r

= (22/7)*21 + 2*21

= 22*3 + 42

= 66 + 42

= 108 cm

A test has five questions. To pass the test, at least three of the questions must be answered correctly. question ----> Find the probability that Mark guesses 4 questions correctly.

Answers

Answer:

1/5

Step-by-step explanation:

Total Question no. 5

Three must be answer correctly so 3/5 to pass

  and 2/5 to fail  

So 1/5 because to pass the test he can answer it  correctly only one time

Help..................

Answers

Answer:

1) Highest

2) Decreasing / Descending

Step-by-step explanation:

In a standard polynomial , terms are ordered from highest degree to lowest degree.

Yesterday morning, the temperature was -11°F. The temperature increased 7°F by noon and then decreased 4°F by nightfall. What was the temperature at nightfall last night?

Answers

Answer:

1

Step-by-step explanation:

1

what is the mean of 10.4, 10.3, 11.7, 11.1, 8.0, 4.4, 2.6, 1.8, 2.5, 4.4, 7.3, 9.5

Answers

Answer:

This is rational number but it is non -torminating

what comes before one in the natural numbers

Answers

Answer:

Actually nothing comes before 1 in the natural numbers. 1 is first natural number.

Step-by-step explanation:

well 0 comes before 1 but it's not nature number.

hope it helped you:)

The volume of a cone is 200.96 cubic yards. What is the radius of the cone if the height is 12 yd? Use pi =3.14 and round your answer to the nearest hundredth.

Answers

Answer:

If I'm doing the problem correctly, the radius should be 4 yards.

Step-by-step explanation:

You work the problem backwards. Multiply 200.96 by 3, since it's a cone, so you're working with the volume of what a cylinder would be with the same dimensions. Then divide by the height (12 yd), then divide by pi. You should end up with 16, and 4 squared equals 16. Work the problem forwards from there to check.

4 squared is 16. 16 times 3.14 is 50.24. 50.24 times 12 is 602.88. 602.88 divided by 3 is 200.96.

.........................idk

These are solving proportions btw! 20/8 = 4k/32

Answers

Answer:

k = 20

Step-by-step explanation:

[tex] \frac{20}{8} = \frac{4k}{32} [/tex]

To find k first of all cross multiply

We have

32k = 640

Divide both sides by 32

That's

[tex] \frac{32k}{32} = \frac{640}{32} [/tex]

We have the final answer as

k = 20

Hope this helps you

81 divided by 9 =

please help i do not understand this

Answers

Answer:

_______

its 9

_________

Answer:

-9

Step-by-step explanation:

9 x 9 = 81,  so

-81/9 = -9


Pete earns $8.50 per hour plus tips. On Tuesday, he received $16 in tips. How many hours did Pete work if he earned a total of $50 on
Tuesday?

Answers

Answer:

4 hours .  

Step-by-step explanation:

4x8.50=34

34 + 16=50

Answer:

He worked 4 hours i think

Step-by-step explanation:

Take 50 and subtract his tips ($16)

then divide your answer by how much he makes an hour ($8.50)

In the text box below, write a brief summary about the similarities and differences between Inequality Notation, Set-Builder Notation, and Interval Notation.

Answers

Answer and Step-by-step explanation:

Differences:

Interval notation is a set of real numbers that contains all real numbers lying between any two numbers of the set. For example set of all real numbers can be described in interval notation as 0 ≤ x ≤1.  Interval notation press the solution set to equality, and it is important to express solution sets in calculus. Set builder notation is a mathematical notation for describing a set by its elements, and their member satisfies' properties.It describes the elements of a set instead of listing the element. For example the set {1, 2, 3, 4, 5, 6, 7, 8, 9} is written in builder notation will be {x/x is a counting number less than 10}.Inequality notation is a relation that makes a non equal comparison between two numbers. Set are also defined by using some inequalities like >, <, ≤, ≥. These are called inequality notations.

Similarities:

The purpose of inequality notation, set builder notation, and interval notation is the same because these notations used to describe a set and the characteristics of each element of a set. When a set is representing in set builder notation, it defines characteristics of elements.  If the set is represented in interval notation, we need to know the upper and lower bound set. In inequality notation, the set is described by the graph on a number line.

The graph below shows y = b(x). image c138745352264c59babfe805822b4e5e Which statement BEST describes the graph? A The graph shows a function because it has an x-intercept and a y-intercept. B The graph does not show a function because the range of the graph is not all real numbers. C The graph shows a function because each element of the domain is assigned to exactly one element of the range. D The graph does not show a function because many elements of the domain are assigned to the same element of the range.

Answers

Answer:

C The graph shows a function because each element of the domain is assigned to exactly one element of the range.

Step-by-step explanation:

A The graph shows a function because it has an x-intercept and a y-intercept.

- Incorrect as functions are not x- and y- intercept only

B The graph does not show a function because the range of the graph is not all real numbers.

- Incorrect as the range is all real numbers

C The graph shows a function because each element of the domain is assigned to exactly one element of the range.

- Correct, this is the definition of a function

D The graph does not show a function because many elements of the domain are assigned to the same element of the range.

- Incorrect as per previous statement

Which algebraic expression represents this word description?
The quotient of nine and the sum of a number and one

Answers

Answer: [tex]9\div (x+1)[/tex]

Step-by-step explanation:

In algebra, Quotient of a and b is expressed as [tex]a\div b[/tex] .

Given phrase: The quotient of nine and the sum of a number and one

Let the number be x.

Then, the statement become: The quotient of nine and the sum of x and one.

i.e. [tex]9\div (x+1)[/tex]   [since sum of x and 1 = x+1]

Hence, the algebraic expression represents the given word description is [tex]9\div (x+1)[/tex] .

Answer:

9 divided (x+1)

Step-by-step explanation:

apeex

Click and drag like terms onto each other to simplify fully. 1+x^2-3+2y+7x^2+3+3y

Answers

Answer:

8x^2 + 5y + 1

Step-by-step explanation:

1 + x^2 - 3 + 2y + 7x^2 + 3 + 3y

group like terms

= x^2 + 7x^2 + 2y + 3y + 1 - 3 + 3

add similar items

= 8x^2 + 2y + 3y + 1 - 3 + 3

add similar items

= 8x^2 + 5y + 1 - 3 + 3

= 8x^2 + 5y + 1

Answer:

[tex]\Huge \boxed{8x^2 +5y+1}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

[tex]1+x^2-3+2y+7x^2+3+3y[/tex]

Grouping like terms.

[tex]7x^2 +x^2+2y +3y +3+1 -3[/tex]

[tex](7x^2 +x^2)+(2y +3y) +(3+1 -3)[/tex]

Combining like terms.

[tex]8x^2 +5y+1[/tex]

[tex]\rule[225]{225}{2}[/tex]

Another way to write g(h(x))

Answers

you can use the multiplication symbols (x) or (•)

Answer:

(gOh)(x) on edg 2020

Step-by-step explanation:

ALG II NEED HELP QUICK! Will mark the brainliest answer

Answers

I think it’s the second one because The formula would be
x=
2a
−b±
b
2
−4ac

At a sale, coats were sold for $10 each. If the coats originally cost $20 each, what percentage of its original price was a coat sold for?

Answers

Answer: 50%

Step-by-step explanation:

10/20×100=50%

Answer:

50

Step-by-step explanation:

i have to find the sides of the angles on this photo

Answers

Step-by-step explanation:

may be those can be QT and QN

Mary's bank account was overdrawn by
$21. If she deposits $60, find the new
balance.

Answers

Answer:

39

Step-by-step explanation:

If her bank account is overdrawn, that means that it has a negative balance. This means that without the $60, she has -$21 and once she deposits the $60, twenty one of the 60 will be subtracted

Answer: The answer is 39

Step-by-step explanation: -21+60=49

hope you like it :)

What is the value of the expression below when y=8 and z=8? 10y-3z

Answers

Answer:

56

Step-by-step explanation:

We are given the expression:

10y-3z

and asked to find the value when y=8 and z=8. Therefore, we must substitute 8 in for both y and z.

10(8)-3(8)

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Addition and Subtraction.

Multiply 10 and 8.

(10*8) -3(8)

80-3(8)

Multiply 3 and 8.

80 - (3*8)

80- 24

Subtract 24 from 80.

(80-24)

56

The value of the expression 10y-3z when y=8 and z=8 is 56.

3. The first four terms of a sequence are:
T2 = 12+ 22
T3 = 12 + 22 + 32
T4 = 12 + 22 + 32 +42
T1 = 12
The n" term is given by Tn=n(n + 1)(2n + 1).
Work out the value of T23.

Answers

Step-by-step explanation:

tn=n(n+1)(2n+1)

t23=23(23+1)(2*23+1)

t23=36754

Answer:

The 23rd term is 2806.

Step-by-step explanation:

The other answerer has used the formula but i'm answering from the assumption that T1 to T4 are correct.

Each term is the sum of n terms of an arithmetic series with first term a1 = 12 and common difference d = 10.

Sum of n terms = (n/2)[2a1  + d(n - 1)]

So the sum of 23 terms =

= 23/2 (2*12 + 10 * 22)

= 11.5 * 244

= 2806.

Explain Mathematical Ideas (1)(G) A classmate questions your solution to
the problem. Use precise mathematical language to explain why your solution
is correct.

Answers

I’m saying (G)(1) would be the best anser

Three times a number is equal to the sum of half the number and 30. What is the number?

Answers

Answer:

12.

Step-by-step explanation:

3x = 0.5x + 30

2.5x = 30

x = 30 / 2.5

x = 12

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