B is the midpoint of AC. AB = 2x + 12 and AC = 10x - 12.

Find the following:

x:

AB:

BC:

AC:

Answers

Answer 1

Answer:

Step-by-step explanation:

If B is the midpoint of AC, then AB = BC  and AB+BC = AC

AB +AB = AC

2AB = AC

2(2x+12) = 10x-12

4x+24 = 10x-12

collect like terms:

4x-10x = -12-24

-6x = -36

x = -36/-6

x = 6

Get AB:

AB = 2x+12

AB = 2(6)+12

AB = 12+12

AB = 24

Since AB = BC, hence BC = 24

AC = AB+BC

AC = 24+24

AC = 48


Related Questions

*/ Dunkin donuts is selling a 12 muffins for $3.60. What is the unit price per muffin? ***

Answers

Answer:

0.3

Step-by-step explanation:

3.60 divided by 12

0.3 because 12 divided by $3.60 is $0.03

Select each inequality that 0 is a solution to.






-3(y - 1) ≥ 3



2y - 4 0

- y -1 > 0

y + 8 ≤ 2y + 8

Answers

Answer:

select the first and last options.

Step-by-step explanation:

1.

-3(y - 1) >= 3

-3y + 3 >= 3

-3y >= 0

y >= 0

0 is a solution

2.

2y - 4 > -4

2y > 0

y > 0

0 is not a solution

3.

-y - 1 > 0

-1 > y

0 is not a solution

4.

y + 8 <= 2y + 8

8 - 8 <= 2y - y

0 <= y

0 is a solution

Which triangle represents a rotation? What is the center of rotation if the triangle

Answers

Answer:

the green one, (0,0)

Step-by-step explanation:

red is a reflection, not a rotation

pls help me answer this question as fast as possible!!! ​

Answers

Answer:

7.50-1.50 6/3 = 2 per hamburger.

(x=2) equation> 7.50-1.50x= 3


I’ll try but I’m pretty sure it’s:

3x+$1.50=$7.50

Cause your looking for the cost per burger with your water that costs $1.50 that in all equals 7.50$

X=2 btw

3(2)+1.50
6+1.50
=
$7.50

The equation 4 (x - 2) = 100 is a true equation for a particular value of x. Explain why 2 (x - 2) = 50 is also true for the same value of x.​

Answers

Answer:

Step-by-step explanation:

i. 4 (x - 2) = 100

x-2= 100/4

x-2=25

x=25+2

x=27

ii. 2 (x - 2) = 50

x-2= 50/2

x-2=25

x=25+2

x=27

The equation 4 (x - 2) = 100 is a true equation for x when x = 27

4 (x - 2) = 100

4x - 8 = 100

Collect like terms

4x = 100 - 8

4x = 92

Divide both side by 4

4x/4 = 92/4

x= 27

Also the equation 4 (x - 2) = 100 is the same as 2 (x - 2) = 50 when the former equation is being divided by 2.

Therefore, the equation 4 (x - 2) = 100 is a true equation for x when x = 27

Read related link on:

https://brainly.com/question/18082362

Here is a linear equation in two variables: 2x + 4y - 31 = 123.

Solve the equation, first for x and then for y.

Answers

Answer:

x = -2y+77

y =  -x/2+77/2

Step-by-step explanation:

The equation for x variable is x = 77 - 2y and for y variable it is; y =  77- x/2

What is a linear equation?

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.

WE have been given linear equation in two variables: 2x + 4y - 31 = 123.

Solve for x and for y

2x + 4y - 31 = 123.

Add 31 to both sides

2x + 4y - 31 + 31 = 123 + 31

2x + 4y = 154

Solving for x then Subtract 4y from both sides

2x + 4y -4y = 154 - 4y

2x = 154 - 4y

Divide by 2

x = 77 - 2y

y =  77- x/2

Learn more about linear equations;

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A hotel costs $89 per night. Sally will receive a $5 per night discount for paying in advance. A rental car costs $35 per day plus taxes that total $4 per day. Which expression can Sally use to find how much she will pay for the hotel and rental car for 5 days?

Answers

Answer:

( 89-5) *5 + ( 35+4)*5

84*5+ 39*5

Step-by-step explanation:

The cost for the hotel will be 89 -5 =84 dollars per night if she pays in advance

The cost of the car is ( 35+4)  = 39 per day

She is staying 5 days

( 89-5) *5 + ( 35+4)*5

84*5+ 39*5

Answer:

$615

Step-by-step explanation:

(5x84)+(5x35)+(5x4)=

420+175+20=

$615.

She will pay $615 over the 5 days.

Select the correct answer
Which ratios are equal to each other?
OA
1:16 and 2:8
OB
2:32 and 4:8
1:64 and 4:16
D
1:16 and 4: 64
Reset
Reset
Next

Answers

OB would be correct

8x−6/2=x+12

show work please

Answers

Answer:

x=  15 /7

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

8x−  6 /2 =x+12

8x+−3=x+12

8x−3=x+12

Step 2: Subtract x from both sides.

8x−3−x=x+12−x

7x−3=12

Step 3: Add 3 to both sides.

7x−3+3=12+3

7x=15

Step 4: Divide both sides by 7.

7x /7 = 15 /7

Answer:

[tex]\boxed {x = \frac{15}{7}}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]8x - \frac{6}{2} = x + 12[/tex]

-Divide [tex]6[/tex] by [tex]2[/tex]:

[tex]8x - \frac{6}{2} = x + 12[/tex]

[tex]8x - 3 = x + 12[/tex]

-Take [tex]x[/tex] and subtract from [tex]8x[/tex]:

[tex]8x - 3 - x = x - x + 12[/tex]

[tex]7x - 3 = 12[/tex]

-Add both sides by [tex]3[/tex]:

[tex]7x - 3 + 3= 12 + 3[/tex]

[tex]7x = 15[/tex]

-Divide both sides by [tex]7[/tex]:

[tex]\frac{7x}{7} = \frac{15}{7}[/tex]

[tex]\boxed {x = \frac{15}{7}}[/tex]

So, the value of [tex]x[/tex] is [tex]\frac{15}{7}[/tex].

-5/x= 2/6

those are fractions btw

Answers

Hope it helps you x=-15

Diego squared a number and got 4. Andre squared a different number and got 4. What were the two numbers that Diego and Andre squared? *

Answers

Answer:

Diego squared two

Step-by-step explanation:

Andre squared 2.1

We have that for the Question Diego squared a number and got 4. Andre squared a different number and got 4. What were the two numbers that Diego and Andre squared? "" it can be said that two possible numbers squared by Diego and Andre is

+2 and -2

From the question we are told

Diego squared a number and got 4. Andre squared a different number and got 4. What were the two numbers that Diego and Andre squared?

Generally the equation for the Square root of 4  is mathematically given as

[tex]x=\sqrt{4}\\\\Therefore\\\\x = \pm 2\\\\[/tex]

Hence

the two possible numbers squared by Diego and Andre is

+2 and -2

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Convert this number to scientific notation:
0.009987

Answers

Answer:

9.987 × 10^-3

Step-by-step explanation:

Can someone help i wil mark branliest to anyone who gets this right
show workings out too

decrease £56 by 14%

decrease £262 by 39%

Answers

Answer:

48.16

167.68

Step-by-step explanation:

New value =

36 - Percentage decrease =

36 - (14% × 36) =

36 - 14% × 36 =

(1 - 14%) × 36 =

(100% - 14%) × 36 =

86% × 36 =

86 ÷ 100 × 36 =

86 × 36 ÷ 100 =

3,096 ÷ 100 =

30.96

New value =

262 - Percentage decrease =

262 - (36% × 262) =

262 - 36% × 262 =

(1 - 36%) × 262 =

(100% - 36%) × 262 =

64% × 262 =

64 ÷ 100 × 262 =

64 × 262 ÷ 100 =

16,768 ÷ 100 =

167.68

The hospital spent 9⁵ dollars on a new medical equipment this year. Last year, they spent 9⁷ dollars. How many more dollars did they spend last year than this year?

Answers

Answer:

4,723,920

Step-by-step explanation:

9^5 = 59,049

9^7 = 4,782,969

4,782,969 - 59,049 = 4,723,920

Please mark me brainliest.

If y(x) = 4x, what is x when y(x) = 4?
2
1
0
4

Answers

the answer is 1 bc 4x1 = 4, so if you substitute 1 for x in your equation you get 4

Answer:

If y(x) = 4x, what is x when y(x) = 4?

=4

Erma solves an equation by first subtracting 8 from both sides of the equation. She then divides both sides by 8 and finds the solution. Which of the following gives the properties of equality that she used and their correct order?
addition property of equality and multiplication property of equality
multiplication property of equality and addition property of equality
symmetric property of equality and multiplication property of equality
addition property of equality and substitution property of equality

Answers

Answer:The answer on edge is

A. the addition property of equality

D. the substitution property of equality

Step-by-step explanation:

Is this correct? If not the answer choices are
vertical,
complementary
supplementary
adjacent,
right,
obtuse.
Please match them with the right answer choices.

Answers

Answer:

Some of them are wrong

Step-by-step explanation:

The revisions I made are in BOLD and underlined.

∠1 and ∠4 are vertical angles

∠1 and ∠2 are obtuse angles because they are angles that measure between

90° and 180°.

∠3 and ∠4 are adjacent angles because they have a common vertex.

∠4 and ∠5 are supplementary because they lie on a straight line and have a sum of 180°.

I have to estimate 9,105-4031 and im soo confused! Help me plss

Answers

9105-4031= 5074

Step-by-step explanation:

please mark me as branliest

Answer:

you'll have to estimate 9,105 and 4,031

Step-by-step explanation:

9,105 is rounded to 9,000, nearest ten is 9,110, nearest 100 is 9100.

4,031 is rounded to 4000 in nearest thousand, nearest 10 is 4030, and nearest 100 is 4,000

i hoped this helped!!!

A guy wire is secured into the ground 15 feet from the base of a
36-foot pole. How long is the guy wire if it is attached to the top
of the pole?

Answers

i think it would be 39ft

Answer:

The answer is 39 ft so the other person is correct.

Step-by-step explanation:

What is the value x in the equation -2/5x-2=18?
-50
-40
-8
-6

Answers

-2x/5-2=18
-2x/5-2+2=18+2
-2x/5=20
-2x/5x5=20x5
-2x=100
-2x/-2=100/-2
x=-50

Based on the diagram, which statement is NOT true

Answers

Answer:

Where's the diagram?.....

PLEASE HELLPP I WILL MARK BRAINLYLIST

Answers

Answer:

3

Step-by-step explanation:

divide one side of the bigger triangle by the corresponding side of the smaller one

Answer:

3

Step-by-step explanation:

Divide the bigger triangle by the little one

3/1=3

then 12/4=3

if b is the midpoint of ac, ab=12x+11 and bc= 14x - 1, find AB
ik i said i didn't need help with this in my last question but I lied

Answers

Answer:

AB = 83

Step-by-step explanation:

The mid-point of any segment divides the segment into two equal parts

∵ B is the midpoint of segment AC

→ That means B divides AC into two equal segments AB and BC

∴ AB = BC

∵ AB = 12x + 11

∵ BC = 14x - 1

→ Equate them

14x - 1 = 12x + 11

→ Subtract 12x from both sides

∵ 14x - 12x - 1 = 12x - 12x + 11

∴ 2x - 1 = 11

→ Add 1 to both sides

∵ 2x - 1 + 1 = 11 + 1

∴ 2x = 12

→ Divide both sides by 2

∵ [tex]\frac{2x}{2}=\frac{12}{2}[/tex]

x = 6

→ To find AB substitute x by 6 in its expression

∵ ab = 12x + 11

∵ x = 6

∴ AB = 12(6) + 11

∴ AB = 72 + 11

AB = 83

I'm only looking for an explanation, not the answer I want to find it myself. Please help a girl out!

A tree is casting a shadow of 28 ft. At the same time, a 7ft statue was casting a shadow of 2ft. How tall is the tree? Remember, I don't want the answer just an explanation
(●'◡'●)

Answers

Answer:

Step-by-step explanation:

You have to find ratio for feet for a shadow.

In your case, a 7ft statue was casting a shadow of 2ft. You divide 7/2 and it results in 3.5 feet in real life vs. 1 foot shadow. You do the same for the tree. Since it is 3.5 feet:1 foot statue, you have to multiply 3.5 by 28 to get the full height of the tree. (In this example the shadow is smaller than the tree that's why you multiply).

Consider the following figure.
21
22
23
24
Which of the following statements are true? Select all that apply.

Answers

Answer:

Last option is the correct answer and no other else

Step-by-step explanation:

[tex] \angle \: 3 + \angle \: 4 = 180 \degree..(1) \\ ..(linear \: pair \: \angle' s) \\ \\ \angle \: 1+ \angle \: 2 = 180 \degree...(2) \\ ..(linear \: pair \: \angle' s) \\ \\ from \: equations \: (1) \: and \: (2) \\ \purple{ \bold{\angle \: 3 + \angle \: 4 = \angle \: 1+ \angle \: 2}}[/tex]

Answer:

D and E

You weren't showing the full list of answers.

Step-by-step explanation:

Jack's family took a road trip to Niagrara Falls. Jack fell asleep 43% of the way through the trip. If Jack fell asleep after they had travelled 430 miles, what was the total length of the trip?

Answers

Answer:
1,000 miles

Explanation:
Cross multiplication- 43/100 = 430/x
430* 100 = 43000
43 *x = 43x
43,000/43= 1,000

1.2x10^6, what is the scientific notation to standard notation?

Answers

Answer:

1200000

Step-by-step explanation:

Answer:

1200000

Step-by-step explanation:

Please help!!!!!
Find the measure of the exterior angle of the polygon.

Answers

Answer: 125 degrees

Step-by-step explanation:

180-55=125

Does this table of values represent a direct variation or a partial variation? *

Answers

Answer:

this table would be partical variation

Step-by-step explanation:

in order to get to the output, the exquation is 2x+2 and thats a partial variation equation

46h+56h=600 please solve

Answers

Answer:

5.88235294118

Step-by-step explanation:

Step 1:

46h + 56h = 600       Equation

Step 2:

102h = 600

Step 3:

h = 600 ÷ 102

Answer:

h = 5.88235294118

Hope This Helps :)

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