If AB= x+4, BC=2x-10, and AC=2x+1, then find the value for x

Answers

Answer 1

Answer:

[tex] \boxed{x = 7} [/tex]

Step-by-step explanation:

Given:

AB = x + 4BC = 2x – 10AC = 2x + 1

We can illustrate this relationship as:

(2x + 1)

___↑___

| |

A — B — C

|____|___|

↓ ↓

(x + 4) (2x – 10)

_______________________________

When you are given an algebraic expression for the length of a segment, you can solve for that value by knowing that the sum of two segments AB + BC = AC.

Thus:

(x + 4) + (2x – 10) = (2x + 1)

[Regroup terms]

(x + 2x) + (4 – 10) = (2x + 1)

[Simplify]

(3x – 6) = (2x + 1)

[subtract 2x from both sides to isolate the variable]

(3x – 6) – 2x = (2x + 1) – 2x

[Regroup terms]

(3x – 2x) – 6 = (2x – 2x) + 1

x – 6 = 1

[Add 6 to both sides to isolate the constant]

x – 6 + 6 = 1 + 6

[Simplify]

x = 7


Related Questions

Please help quickly its super late

Answers

Answer:

45 - (6 x 5) = t

Step-by-step explanation:

please mark brainliest

Answer:

45=6(5)+t

$15

Step-by-step explanation:

The equation used to describe this situation would be y=6x+t, where y is the total amount Jonny made, x is the number of hours worked, and t is the total tips. The problem tells us that Jonny made $45 total and worked for 5 hours. So, to solve plug these numbers in and solve for t. The number equation looks like, 45=6(5)+t.

Then, to solve first distribute the 6.

45=30+t

Next, subtract 30 from both sides

15=t

That is your final answer, Jonny made $15 in tips.

[tex]2x^{2} -4x +2[/tex]

Answers

[tex]2 {x}^{2} - 4x + 2 \\ \\ 2(x {}^{2} - 2x + 1 )\\ \\ 2(x - 1) {}^{2} [/tex]

Question:-

2x² -4x + 2

Solution:-

▶️2x² - 4x + 2

▶️2 (x² - 2x + 1)

▶️2 (x-1)²

Answer:-

=> 2(x−1)²

A cell phone company charges $400 for a new phone and $50 for a monthly plan. If C (t) is a rational function that represents the average monthly cost of owning the cell phone, what is the range of the function?
R: ℝ
R: (–∞, ∞)
R: (0, 400)
R: (50, 450)

Answers

Answer:

its c

Step-by-step explanation:

C. R: (0, 400)

What is a rational function?

In mathematics, a rational function is any function that can be described by using a rational fraction, which is an algebraic fraction such that each the numerator and the denominator are polynomials. The coefficients of the polynomials need no longer be rational numbers; they'll be taken in any field k.

A rational function is one that can be written as a polynomial divided by a polynomial. for the reason that polynomials are defined everywhere, the domain of a rational feature is the set of all numbers except the zeros of the denominator. example 1. f(x) = x / (x - 3). The denominator has only one 0, x = 3.

Learn more about rational function here

https://brainly.com/question/1851758

#SPJ2

Between what two consecutive integers does the square root of 19
lie

Answers

4 and 5 are the two numbers between which the square root of 19 lies.

PLEASE HELP!!!
value of x
Value of y
m M m

Answers

9514 1404 393

Answer:

x = 7y = 12∠TPS = 140°∠TPQ = 40°∠PRS = 50°

Step-by-step explanation:

The marked angles at P are a linear pair, so are supplementary:

  (5x +5) +(18x+14) = 180

  23x = 161 . . . . . . . . . . . . . . subtract 19

  x = 7

Those angle measures are ...

  ∠TPQ = (5·7 +5)° = 40°

  ∠TPS = (18·7 +14)° = 140°

__

The marked angle at R is the complement of the acute angle at P, so we have ...

  3y +14 +40 = 90

  3y = 36

  y = 12

  ∠PRS = (3·12 +14)° = 50°

How could you add -13 + 10? A Add 13 + 10, and keep the negative sign from the -13. B Add 13 + 10, and keep the positive sign from the 10. C Subtract 13 - 10, and keep the negative sign from the -13. D Subtract 13 - 10, and keep the positive sign from the 10.

Answers

Answer is C

Explanation-
Here’s an easier way to add negative numbers. Unlike adding positive numbers and positive numbers together and getting a larger positive number, do the opposite of what the symbol is telling you.

For example:
-12 + 9 = -4

Instead of adding, I subtract 12 and 9 to get to 4 but the reasons the four is a negative is because any number from 0 to any higher value is always considered a negative.

Question
In a survey of 50 students about television viewership, 25 reported that they watch program X, 18 reported
that they watch program Y, and 14 reported that they watch neither of these programs. How many of the 50
students reported that they watch both program X and program Y?
O 7
11
O 15
18

Answers

Answer:

18....I hope thats righ

Step-by-step explanation:

HELP!! An airplane travels at a speed of 600 meters per minute. How long will it take it to travel 5000 kilometers?

Answers

Answer:

8333.33 minutes or 138. 89 hours

Step-by-step explanation:

Speed = distance/time

time = distance/speed = 5000000 meter/600 meter/minute

                                      = 8333.33 minutes or 138. 89 hours

What is the fraction of this question plz help me

Answers

There is probability of 7/8 of not getting yellow.

8x+9 equals 5X +6 what is the value of X

Answers

8x + 9 = 5x + 6

8x - 5x = 6 - 9

3x = -3 / : 3

x = -1 ← the end answer

Please help

f(x) = fx-2
Find f(3)
[?]
Enter the number that belongs in the green box.
Simplify completely.

Answers

[tex]f(x)=\dfrac{4}{5}x-2\\\\\\f(3)=\dfrac{4}{5}\cdot3-2=\dfrac{12}{5}-2=\dfrac{12}{5}-\dfrac{10}{5}=\boxed{\frac{2}{5}}[/tex]

Evaluate the following expression when a = 5 and b = 1. Then, plot the resulting value on the provided number line.
12 + [2 - (4.22)] = 7 + 8

Answers

Answer:

12+[2-(4.22)]=7+8

12+[2-8.44]=7+8

12+[-6.44]=7+8

12+77.28=7+8

89.28=7+8

89.28=15

Step-by-step explanation:

12x0.08 help me plss!!!

Answers

Answer:

0.96

Step-by-step explanation:

Name the geometric solid suggested by a teepee.
cylinder
sphere
cube
cone

Answers

Answer:

It's a cone

A teepee is in the shape of a cone

HELP ME PLSSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

Step-by-step explanation:

You have to be assured that x really is even. In this case (and the question has a flaw in it) , you assume that x is even. Normally you would multiply x by 2 to get 2x. Now you know it is even, but it is the number not required of you.

So we will assume it is even.

x + x + 2 + x + 4                Combine like terms

x + x + x = 3x

2 + 4 = 6

Answer: 3x + 6

[IMAGE ATTACHED]
PLEASE HELP!!

Answers

Answer: y=24

Explanation:
start by adding the two expressions
7y+12=180
7y=168
168/7
y=24

Plug it in/Check your work:
3(24)+5=77
4(24)+7=103
77+103=180

Which equation represents the line that passes through the points (4,5) and (-3,-2)?
A. y=x+1
B. y= -3x+17
C. y=x+9
D. y=3x-7

Answers

Answer:

The answer is C

Step-by-step explanation:

Y-y1=m(x-x1), y-5=x-4,y=x+9

solve the formula for converting temperature from degrees celsius to degrees fahrenheit for c answer

Answers

F= (9/5)C+32 that’s the formula

6) A cube has a volume of 125 mm3, what is its surface area?
Volume = s3
Area = 6x s2

Answers

~Geometry

Step-by-step explanation:

r³ = 125

r = 5 mm

...

V = 5³

V = 125 mm³

...

A = 6 . s²

A = 6 . 5²

A = 6 . 25

A = 150 mm²

#mathisfun

Lian has $1.00 . She has only nickles and dimes. Lian has twice as many dimes and nickles

Answers

Answer:

4 nickels and 8 dimes

Step-by-step explanation:

4 nickels is 0.20 and 8 dimes is 0.80

Answer:

4 nickles 8 dimes

Step-by-step explanation:

4 nickles 8 dimes

HELP ME!!!

Steve goes on a road trip. He travels a total of 835 miles, and the trip takes 10 hours from start to finish.

What is his average rate of change of distance? Please include units in your answer.

Answers

835/ 10 is 83.5
So his average rate of change is 83.5 miles per hour

Find the midpoint of CD with endpoints C (6,-9) and D (0,15)​

Answers

Answer:

1.5

Step-by-step explanation:

The average cost to own and operate a car in the United States for 2020 was $0.524 per mile.
What is the algebraic expression to describe the total cost to operate a car manually for “m"
miles?

Answers

Answer:

y = 0.524m + b is the answerrrr

Find the MIDPOINT of the following two points:

(3,-1) (2,4)



Type your answer as an ordered pair.

Answers

Answer: (2.5  ;  1.5 )

Step-by-step explanation:

The midpoint of the segment with the points [tex]\bf ( x_1 \ ; \ y_ 1)[/tex] and [tex]\bf (x_2 \ ; \ y_2)[/tex]  is calculated by the formula:

[tex]\bf (x _0 \ \ ; \ \ y _0) = \bigg(\dfrac{x_1+x_2}{2} \ ; \ \dfrac{y_1+y_2}{2} \bigg)[/tex]  Then : [tex]\bf (x_0 \ ; \ y_ 0)=\bigg( \dfrac{3+2}{2} \ \ ; \dfrac{4-1}{2} \bigg) =( 2.5 \ \ ; \ \ 1,5 )[/tex]

How to write 72,932 expanded form?

Answers

70,000 + 2,000 + 900 + 30 + 2

Answer:

70,000+ 2,000 +900 +30 + 2

in expanded form

Step-by-step explanation:

The line y=px+2 is parallel to the line 2x+y=5. Determine the value of p

Answers

Answer:

-2

Step-by-step explanation:

The line y=px+2 has slope p

The line 2x+y=5 can be rewritten as y =-2x+5 so it has slope -2.

Since the two are parallel then they must have the same slope. Hence p=-2.

Answer:

p = - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x + y = 5 ( subtract 2x from both sides )

y = - 2x + 5 ← in slope- intercept form

with slope m = - 2

Parallel lines have equal slopes

Thus for y = px + 2 to be parallel to y = - 2x + 5

Then p = - 2

Use the distributive property to expand the following expressions.
51) 4(x+y)
52) 8(a+3b)
53) 3(2x+11y)


Please help me I need this answer by today!!!

Answers

4x + 4y
8a + 24b
6x + 33y

Please help I will give you a lot of points and the brainiest.
You don't have to show your work if you don't want to, just the answer.

--Just so you know this isn't the regular kind of subtraction we use everyday. (This uses Hindu-Arabic number system)

---

Answers

Answer:

The sum is 17,690 nine

Step-by-step explanation:

8₉ + 2₉ = (10)₉ = (9 + 1)₉ = 11₉

4₉ + 4₉ + 1₉ = (9)₉ = (9 + 0)₉ = 10₉

8₉ + 8₉ + 1₉ = (17)₉ = (9 + 8)₉ = 10₉ + 8₉ = 18₉

8₉ + 8₉ + 1₉ = 18₉

So

8848₉ + 8842₉ = 18801₉

find the x- and y- intercepts of the graph of -9x+7y=27

Answers

Answer:

you can use gauth math mate!

Step-by-step explanation:

it is like photo math and easy to learn

you can also call tutor

please help i will give extra points

Answers

Answer:

[tex]36 \div (3 \times 2) - 4 \\ 36 \div 6 - 4 \\ 6 - 4 \\ = 2[/tex]

PLEASE MARK ME BRAINLIEST
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