AC = 8, AB = 2x + 20, and BC = 2x + 24. Find x.

Answers

Answer 1

Answer:

Answer: x is -9

Step-by-step explanation:

If it's a line AC with a point B between;

AC = AB + BC

substitute in terms of x :

[tex]8 = (2x + 20) + (2x + 24)[/tex]

group x terms in a same bracket, and constants in their bracket

[tex]8 = (2x + 2x) + (20 + 24) [/tex]

operate the brackets:

[tex]8 = 4x + 44[/tex]

subtract 44 from both sides:

[tex]8 - 44 = (4x + 44) - 44 [/tex]

simplify:

[tex] - 36 = 4x[/tex]

divide all sides by 4:

[tex] \frac{ - 36}{4} = \frac{4x}{4} \\ \\ x = - 9[/tex]


Related Questions

Which number is greater, -7 or 6? Which number has the greater symbols and absolute value symbols when you write your answer. absolute value, -7 or 6? Explain your thinking. Use comparison

Answers

Answer:

6 is greater than -7. However, when using absolute value, -7 would be greater because its absolute value is +7

Step-by-step explanation:

Hope this helps :)

If you figure out these questions I’ll give you brainliest

1. Why are they called buildings if there already built

2. Is 5.0 a decimal or an interger

3. Why is it called an apartments if their built together

Answers

Answer:

1: it is called a building cause it can still be improve or built on.

2: its an integer in a decimal formation.

3: cause each unit is apart from the other units even though it is 1 big building.

Step-by-step explanation:

is 5 1/25 a rational or irrational number

Answers

Step-by-step explanation:

it's rational

as a decimal 5.04

Mark me brainliest

In the expression "4f + s", the number "4" is

Answers

Answer:

the coeficient

Step-by-step explanation:

Hi there!  

»»————- ★ ————-««

I believe your answer is:

A coefficient.

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

The coefficient is a number that is used to be multiplied by a variable in a term.In the term 4f, 4 is being multiplied by 'f'. It is the coefficient of the term.

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Four speed skaters, Marco, Naim, Oliver, and Pedro, compete in a relay race where they all agree that Naim will be the last skater. Then, they try to decide whether or not Oliver should be the first skater in the race.

Which subset, A, of the sample space shows the complement of the event in which Oliver is the first skater in the race?

A = {MOPN, PMON}
A = {OPMN, OMPN}
A = {MOPN, MPON, OPMN, POMN}
A = {MOPN, MPON, PMON, POMN}

Answers

Answer:

A = {OPMN, OMPN}

Step-by-step explanation:

If Olivers first and Naims last that's the only one that fits

Hope this helps, please leave any questions or concerns in the comments. Thanks

A = {MOPN, PMON} is the subset of the sample space shows the complement of the event in which Oliver is the first skater in the race

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

The sample space of the relay race is the set of all possible arrangements of the four skaters, which can be represented by the permutations of the set {M, N, O, P}.

Since Naim is the last skater, there are 3! = 6 possible arrangements of the other skaters in front of him.

The event in which Oliver is the first skater in the race can be represented by the set {OMPN, OPNM, ONPM, ONMP}, which contains 4 possible arrangements.

The complement of this event is the set of all arrangements where Oliver is not the first skater, which can be represented by the set A.

Since there are 6 possible arrangements and 4 of them have Oliver in the first position, there are 6 - 4 = 2 arrangements in A.

A = {MOPN, PMON} is the complement

Hence, A = {MOPN, PMON} is the subset, A, of the sample space shows the complement of the event in which Oliver is the first skater in the race

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What is an equivalent expression for 24+49

Answers

Answer:

20 + 4 + 40 + 9

Step-by-step explanation:

20 + 4 is 24 and 40 + 9 is 49, so it's pretty much the same thing.

8) -14.6 is this number a integer, whole number or rational number​

Answers

Answer:

-14,6 ∈ Q.

Step-by-step explanation:

What’s the answer. Please hurry I’m being timed

Answers

Answer:

C

Step-by-step explanation:

C is the correct answer

These circles are:
A. concentric
B. none of these
C. tangent
D. congruent

Answers

They are tangent to eachother as they intersect at one place and one place only.

These circles are tangent .

What is tangent of two circles?

Two circles are tangent to each other if they have only one common point. Two circles that have two common points are said to intersect each other. Two circles can be externally tangent if the circles are situated outside one another and internally tangent if one of them is situated inside the other.

According to the question

These circles are :

A > Concentric

This option is incorrect because circle are concentric if and only if they have common center .

B> none of these

This option is incorrect .

C > Tangent

This option is correct as Two circles are tangent to each other if they have only one common point and in the figure there is only one common point between both circles .

D> Congruent

This option is incorrect as this two circles have different size but in congruent both circle should be same size which is not possible here.

Hence, These circles are tangent .

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24÷2[70÷5{4+(12-(12-8÷6×3)}]​

Answers

Step-by-step explanation:

24÷2[70÷5{4+(12-(12-8÷6×3))}]

12[14{4+(12-(12-4))}]

12[14{4+(12-8)}]

12[14{4+4}]

12[14{8}]

12[112]

1344

Jefferson Middle School is scheduling buses for sixth grade field trip of 218 students. Each bus holds 45 students. What is the least number of buses needed for the trip?

Answers

Answer:

5 buses for all of the students to be able to go

Step-by-step explanation:

45 x 5 = 225 so there would be 7 more seats left but 5 buses is the amount of buses you would need

If each side of tangle is increased by 25 %, then find the percentage increase or decrease in area

Answers

Answer:

Step-by-step explanation:

Answer:

If each side of tangle is increased by 25 %, then find the percentage increase or decrease in area

Step-by-step explanation:

A rectangle has perimeter 70 cm and length 29 cm. What is its width?

Answers

Answer:

6 cm

Step-by-step explanation:

70=29+29+2x

70=58+2x

70-58=2x

12=2x

12/2=x

6=x

Check: 29+29+6+6=70

Answer:

6 centimeters.

Step-by-step explanation:

The equation to find perimeter is P=2L+2W. L is length and W is width.

70=2(29)+2W

70=58+2W

70-58=2W

12=2W

6=w

A car is traveling 90 miles per hour. How fast is it traveling in miles per minute?​

Answers

Answer: 1.5 miles per minute

Step-by-step explanation:

The ratio for the hours is 90 Miles : 60 Minutes

Since 1 hour is 60 minutes, then 1 minute is 1/60 of a hour.

So, 1/60 will be the constant.

[tex]\frac{90}{1/60}[/tex]=1.5

13. You are debating about whether to buy a new computer for $800.00 or refurbished computer with the same equipment for $640.00. If you are paid
$10.00/hour and your deductions
are FICA (7.65%), federal tax withholding (12%), and state tax withholding (8%), how many hours do you have to work to pay for the new computer?
89 hours

98 hours

87 hours

111 hours

Answers

98 hours long or somewhat

The number of hours to work to pay for the new computer is 111 hours

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 equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

The cost difference between the new and refurbished computer is $800.00 - $640.00 = $160.00. This means that you would save $160.00 by buying the refurbished computer instead of the new one.

Let's say you work for "x" hours, then your gross pay will be:

A = 10x dollars

Your FICA deduction will be 7.65% of your gross pay:

0.0765 ( 10x ) = 0.765x dollars

Your federal tax withholding will be 12% of your gross pay:

0.12 ( 10x ) = 1.2x dollars

Your state tax withholding will be 8% of your gross pay:

0.08 ( 10x ) = 0.8x dollars

The total amount of taxes that will be deducted from your paycheck is the sum of these three amounts:

0.765x + 1.2x + 0.8x = 2.765x dollars

So your net pay will be:

10x - 2.765x = 7.235x dollars

On simplifying the equation , we get

Now, we can calculate the number of hours you would need to work to pay for the new computer:

800 = 7.235x

x ≈ 110.5 hours

Hence , the number of hours is x = 111 hours

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What is the remainder when (x^3+1) is divided by (x^2 - x + 1 )

Answers

Answer: D: 0

Step-by-step explanation:

Without doing a long division.

[tex]Remember:\\\\\\\boxed{a^3+b^3=(a+b)(a^2-ab+b^2)}\\\\\dfrac{x^3+1}{x^2-x+1} =\dfrac{(x+1)(x^2-x+1)}{x^2-x+1} =x+1\\\\remainder\ is\ 0\\\\Answer\ D\\[/tex]

3. A solid has twelve more edges than faces. How many vertices does it have?

Answers

Answer:

14

Step-by-step explanation:

Faces= F, Vertices= V and Edges= E

Here,

we have: E = F+12

Now, according to Euler's Formula:

V-E+F=2

V-(F+12)+F=2

V-F-12+F=2

V-12=2

V=14

george had $6.20 less than Jerry . After Jerry spent $15.60 , George had 4 times as much money as Jerry (a) How much money did George have ? (b)How much money did the 2 boys have at first ?

Answers

Answer:

George had $10.95

Jerry had $17.15

What is the solution to the system of equations?
V=
= x + 3
x=-2

Answers

Answer:  The equations aren't written properly.  They seem to be missing something, but if I interpret what is there, we have 1) V = x + 3, and 2) x = -2.

That can't be correct, but if it is, x = -2. and V = 1

Step-by-step explanation:

Solve for x.
z=(7+x)k

Answers

Answer:

x=(z-7k)1/k

Step-by-step explanation:

z=(7+x)k

open the blanket

z=7k+kx

kx=z-7k

x=(z-7k)1/k

4. Simplify : (4 a4b 5 ) ✕ (2 a3b)2​

Answers

Answer:

[tex]8a^{10}b^{7}[/tex]

Step-by-step explanation:

[tex]([/tex][tex]4a^{4}[/tex][tex]b^{5}[/tex][tex])[/tex] × [tex]([/tex][tex]2[/tex][tex]a^{3}[/tex][tex]b[/tex][tex])^{2}[/tex]

[tex](4a^{4} b^{5} )[/tex] × [tex](2a^{6}b^{2})[/tex]

[tex]8a^{4}b^{5}a^{6}b^{2}[/tex]

[tex]8a^{10}b^{7}[/tex]

Help me with this please

Answers

Answer:

it is a function

because when we will draw vertical line . then the line will touch at only one point

x+-2= I need help with this

Answers

Answer: x=3

Step-by-step explanation:  Hope I helped trust me I am really good at math.


Solve for x:
3x - 2 = 8x + 8

Answers

x = -2

I hope this helps!

can anyone solve this problem?​

Answers

Answer:

[tex] \sqrt{2 + \sqrt{2 + \sqrt{81 + 2 \sqrt{1568} } } } \\ = \sqrt{2 + \sqrt{2 + \sqrt{81 + 2 \times 28 \sqrt{2} } } } \\ = \sqrt{2 + \sqrt{2 + \sqrt{81 + 56 \sqrt{2} } } } \\ = \sqrt{2 + \sqrt{2 + \sqrt{81 + 79.2} } } \\ = \sqrt{2 + \sqrt{2 + \sqrt{160.2} } } \\ = \sqrt{2 + \sqrt{2 + 4 \sqrt{10} } } \\ = \sqrt{2 + \sqrt{2} \sqrt{1 + \sqrt{2} \sqrt{10} } } \\ = \sqrt{2 + \sqrt{2} \sqrt{1 + \sqrt{20} } } \\ = \sqrt{2 + \sqrt{2} \sqrt{1 + 2 \sqrt{5} } } \\ = \sqrt{2 + \sqrt{2} \times \sqrt{5.5} } \\ = \sqrt{2 + \sqrt{11} } \\ = \sqrt{2 + 3.3} \\ = \sqrt{5.3} = 2.3[/tex]

[tex]thank \: you[/tex]

Answer:

1 + √2

Step-by-step explanation:

Start with the inner root:

81 + 2√1568 = 49 + 2*28√2 + 32 = 7² + 2*7*4√2 + (4√2)² = (7 + 4√2)²

Move to next one:

2 + 7 + 4√2 = 1 + 2*2√2 + 8 = 1² + 2*2√2 + (2√2)² =  (1 + 2√2)²

The last one:

2 + 1 + 2√2 = 1 + 2√2 + 2 = 1² + 2*1*√2 + (√2)² = (1 + √2)²

The root of the last one is:

1 + √2

At the end of a 10-year term, what is the balance of a $3,000 investment at a rate of 1.5 percent compounded quarterly?

$3,485
$3,675
$3,751
$3,900

Answers

I got $3485 and got it right

Question : 10 = 7 - m

Answers

Answer:

m = -3

Explanation:

Answer:

10 = 7 - m

subtract 7

10-7 = -m

3 = -m

divide negative to isolate m

-3 = m

Step-by-step explanation:

Alg 1 solving equations
-12(-4 + p) = -48

Answers

Answer:

[tex]p=8[/tex]

Step-by-step explanation:

[tex]-12\left(-4+p\right)=-48[/tex]

Divide both sides by -12:-

[tex]\frac{-12\left(-4+p\right)}{-12}=\frac{-48}{-12}[/tex]

[tex]-4+p=4[/tex]

Add 4 to both sides:-

[tex]-4+p+4=4+4[/tex]

[tex]p=8[/tex]

OPEACEO ^^

[tex]\large \mathfrak{Solution : }[/tex]

let's solve for p

[tex] - 12( - 4 + p) = - 48[/tex]

[tex] - 4 + p = \dfrac{ - 48}{ - 12} [/tex]

[tex]p = 4 + 4[/tex]

[tex]p = 8[/tex]

Which is the function represented by the table? fon 0 5 6 2 O fx)= x+ 5 o Ax)= X-5 0 f(x)= x+ 1 ix)= X-1​

Answers

Answer:

The choose a. f(x) = x+5

Step-by-step explanation:

f(-1)= -1+5=4

f(0)=0+5=5

Answer:

f(x)=x+5

Step-by-step explanation:

According to the table, the y values are 5 more than the x values

Christina goes to the market with $50.00. She buys four papayas at $2.75 each and spends the rest of the money on bananas. Each banana cost $1.18. Write an inequality for the number of bananas she can purchase.

Answers

Answer:33

Step-by-step explanation:

$50.00-(4. $2.75) = $50.00 - $11.00= $39.00

$39.00 / $1.18 =33

Answer:

33

Step-by-step explanation:

$50.00-(4. $2.75) = $50.00 - $11.00= $39.00

$39.00 / $1.18 =33

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