for line segment ac, point b is between points a and c. points abc are collinear. if ab=x-7, bc=2x-2, and ac=x+13. solve for bc

Answers

Answer 1

Answer:

           BC = 20

Step-by-step explanation:

Point B is between points A and C and points A, B, C are collinear so

AB + BC = AC

x-7 + 2x-2 = x + 13

  3x - 9  =  x + 13

      +9           +9

   3x  =  x + 22

   - x       - x

   2x  =  22

BC = 2x - 2 = 22 - 2 = 20


Related Questions

Which of these would not produce a representative sample that determines the favorite sport of the students at the local high school?

Answers

Answer:

The answer is ask ten students wearing football jersey each day for a week

Step-by-step explanation:

Answer:

it its the pizza one because people could be bias and that would not give a very acturate answer

Step-by-step explanation:

-0.3535 is it rational or irrational​

Answers

Answer:

Rational

Step-by-step explanation:

A rational number is a number expressed as a fraction. So the number could be a decimal or percent.

Hope This Helps :)

The given decimal number is rational number.

What is the rational number?

Rational numbers are in the form of p/q, where p and q can be any integer and q ≠ 0. This means that rational numbers include natural numbers, whole numbers, integers, fractions of integers, and decimals (terminating decimals and recurring decimals).

The given decimal number is -0.3535.

Here, the given decimal number is repeated and terminating decimal

So, the given decimal is rational number

Therefore, the given decimal number is rational number.

To learn more about the rational numbers visit:

brainly.com/question/19161857.

#SPJ2

Can someone solve this ASAP!!! pls thx​

Answers

Answer: just add givento number 1 and your all done bro

Step-by-step explanation:

-3 - 3x = -4(2x + 7)

Answers

Answer :    x=−5

Step-by-step explanation: Step 1: Simplify both sides of the equation.

−3−3x=−4(2x+7)

−3+−3x=(−4)(2x)+(−4)(7)(Distribute)

−3+−3x=−8x+−28

−3x−3=−8x−28

Step 2: Add 8x to both sides.

−3x−3+8x=−8x−28+8x

5x−3=−28

Step 3: Add 3 to both sides.

5x−3+3=−28+3

5x=−25

Step 4: Divide both sides by 5.

5x /5 =  −25 /5

x=−5

Answer:

x=−5

Use the image below to solve for x.

Answers

Answer:

x will equal 61 degrees

Step-by-step explanation:

The total degree of a pentagon is 540. You subtract all the angles you have (138, 144, 107, and 90) and that will get your sum.

Help I really don't know how to do this I need help !!!!!!

Answers

Answer:

It would be C for it is the lowest.

Step-by-step explanation:

Since all of these numbers are fractions we can divide them by the denominator and see which one would be the lowest.  If we do that we will end up getting C.

A - 0.5

B - 0.5

C - 0.4

D - 0.45

4 subtracted from twice w, the result is 20 more than w. Find w

Answers

Answer:

w = 24

I hope this helps!

W=12 as shown in pic good luck

6. Evaluate the function at each specified value of the independent variable and simplify. (If an answer is undefined, enter UNDEFINED.) 7. Evaluate the function at each specified value of the independent variable and simplify. (If an answer is undefined, enter UNDEFINED.)

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

6a

    [tex]V(3) =  113.112[/tex]

6b

     [tex]V(\frac{3}{2})  = 14.139  [/tex]

6c

   [tex]V(2r) =  33.514r^3[/tex]

7a

  [tex] h(5) = 0 [/tex]

7b

    [tex] h(t) = -5.76 [/tex]

7c

[tex] h(x+5) = x(x+5)[/tex]

Step-by-step explanation:

Considering the question 6

The function given is [tex]V(r) = \frac{4}{3} \pi r^3[/tex]

For  V(3) we have  

        [tex]V(3) =  \frac{4}{3} \pi 3^3[/tex]

       [tex]V(3) =  \frac{4}{3} * 3.142 * 3^3[/tex]

       [tex]V(3) =  113.112[/tex]

For  [tex]V(\frac{3}{2})[/tex]

        [tex]V(\frac{3}{2})  =  \frac{4}{3} *  \pi *   (\frac{3}{2})^3 [/tex]

        [tex]V(\frac{3}{2})  =  \frac{4}{3} * 3.142 *   (\frac{3}{2})^3 [/tex]

        [tex]V(\frac{3}{2})  = 14.139  [/tex]

For   V(2r)

            [tex]V(2r) =  \frac{4}{3} \pi (2r)^3[/tex]

           [tex]V(2r) =  \frac{4}{3} * 3.142*8r^3[/tex]

           [tex]V(2r) =  33.514r^3[/tex]

Considering the question 7

     The function given is  [tex] h(t) = t^2 - 5t [/tex]

For  h(5)

          [tex] h(5) = 5^2 - 5(5) [/tex]    

           [tex] h(5) = 0 [/tex]  

For  h(1.8)

            [tex] h(t) = 1.8^2 - 5(1.8) [/tex]

            [tex] h(t) = -5.76 [/tex]

For  h(x+ 5)

              [tex] h(x+5) = (x+5)^2 - 5(x+5) [/tex]

               [tex] h(x+5) = x^2 + 25+10x-5x-25[/tex]

             [tex] h(x+5) = x(x+5)[/tex]

How can parallel lines be used to compare figure E and F? Explain your reasoning.

Answers

When the e and f are displayed

PLEASE HELP ITS EASY suppose you are converting x kilograms to ounces. will the number of oz be less than or greater than x?

Answers

Answer:

greater

Step-by-step explanation:

greater beacause 1 kilo =35.274 ounce

Resolved

1. 2(y+4) +4 (2y+2)



Answers

Answer:

10y+16

Step-by-step explanation:

Distribute and combine like terms

half a number decreased by three is equal to 38 less than four times the number

Answers

Answer:

10

Step-by-step explanation:

let the unknown number be x

so half of x decreased by 3 is

1/2x -3

It is equal to 38 less than 4 times the number which is x; 4x-37

THEREFORE;

½x-3 =4x -38

x-6/2 = 4x-38

cross-multiply

x-6 =8x -76

x-8x = -76+6

-7x = -70

Divide both sides by -7

So x =10

∠A and ∠ B ∠B are complementary angles. If m ∠ A = ( 2 x − 10 ) ∘ ∠A=(2x−10) ∘ and m ∠ B = ( x − 2 ) ∘ ∠B=(x−2) ∘ , then find the measure of ∠ A ∠A.

Answers

Answer:

Angle A = 58 degrees

Angle B = 32 degrees

Step-by-step explanation:

First of all, we will need to know that complementary angles are angles that sum up to 90 degrees.

This means that if we add the values of angle A and angle B, they will both sum up to 90 degrees.

i.e (2x-10) + (x-2) = 90

3x -12 = 90

3x = 102

x = 34 degrees

We can substitute this value of x into the equations for angles A and B

A = (2 X (34) - 10 ) = 58 degrees

B =  ( 34 - 2) = 32 degrees

Therefore, angles A and B are 54 and 32 degrees respectively.

Check: We can add the two angles to see if we get 90 degrees. 58 + 32 = 90 degrees. This shows that the two angles are complementary and our answer is correct.

The store charges $1.95 for a pack of 5 pens. What is the individual price per pen ?
A - .50
B- $1.95
C- $2.56
D- .39
does anyone know or can explain ?

Answers

The answer is D, 1.95 divided by 5 equals 0.39.

Find the value of x that will make L || M

Answers

Answer:

The value of x = 7 to make lines L and M parallel.

what is 2x + 4 = 2x + 4

Answers

Answer:

This is for x

Step-by-step explanation:

SOLVE FOR X (COMPLEX SOLUTION)

x∈C

SOLUTION STEPS

2x+4=2x+4

This is true for any x.

x∈C

SOLVE FOR X

x∈R

SOLUTION STEPS

2x+4=2x+4

This is true for any x.

x∈R

pleaseeeeeeee help me

Answers

Answer:

by my best guess, x = -5 (negative five)

Step-by-step explanation:

What value of x makes the equation true?
147 = 5(1 - 7x) + 2

Answers

Answer: X = -4

Step-by-step explanation:

first you need to solve, so do what needs to be done in the equation, which is just multiply and add

147 = 5 - 35x + 2

147= 7 -35x

get rid of the numbers around x, which would be subtracting 7 from both sides

140 = -35x

x = -4

The price to mail a letter at the post office is $0.49 for the first ounce

and $0.21 for each additional ounce. Amrit paid $1.96 to mail his letter.

How much did the letter weigh?

Answers

The letter weighted 7 ounces

could someone help me with this, I have a few minds left. thanks!! Also marking as brainiest.

Answers

10 is in between the perfect squares of 3 and 4 (because 3² is 9 and 4² is 16)

so √10 is located between √9 and √16

Why is it imprecise to say that the equation 25 x 2 + 27 + 0 has no solution? Find all solutions of the equation.

Answers

Answer:

77

Step-by-step explanation:

77 is the only correct answer

How many calories will Jacob burn in 1 minute while roller-skating????

Answers

Answer:

the answer is five

Step-by-step explanation:

first think of it like 40 over 200 then simplified down. which will get you 1/5 ,therefore five is the answer.

If the measures of the angles in the following triangle were listed in increasing order, which measure would be second? (2x+24) ° (4x+43) ° (x^2+1) °

Answers

Answer:

x²+1 is the second

Step-by-step explanation:

2x+24=40°

4x+43=75°

x²+1=65°

(2x+24) + (4x +43) + (x²+1)=180

x²+6x+68=180

x1=-14

x2=8

since there's no negative angle, we'll use x=8

Taki's are originally $3.25 a bag. You have a 25% off coupon. What
is the final price of the Takis?

Answers

Answer:

3.25 * .75 = $2.44

Step-by-step explanation:

Answer:

Your answer should be $2.44 or around there

Step-by-step explanation:

Find the value of each variable (x in this case)

Answers

2x and 4x + 108 are supplementary angles and that means they add up to 180 degrees.

2x + 4x + 108 = 180

Combine like terms

6x + 108 = 180

Subtract 108 from both sides.

6x = 72

Divide both sides by 6

x = 12

At an ice cream store, a family ordered 1 banana split and 2 hot fudge sundaes, paying a total of $11 for their order. The next customer ordered 4 banana splits and 3 hot fudge sundaes and paid $29. How much does each item cost?

Answers

Answer:

$5 and $3

Step-by-step explanation:

Cost of banana split = b

Cost of hot fudge sundae = s

b + 2s = 114b + 3s = 29

From the first equation we get:

b = 11 - 2s

Replacing in the second equation:

4(11 - 2s) + 3s = 2944 - 8s + 3s = 2944 - 29 = 5s15 = 5ss = 15/5s = 3

Then

b = 11 - 2*3 = 11 - 6 = 5

So banana split costs $5 and hot fudge sundae costs $3

if 18 more than twice a number is -10,what is the number?​

Answers

Answer:

-14

Step-by-step explanation:

Let the number be x

[tex]2x + 18 = - 10 \\ 2x = - 28 \\ x = - 14[/tex]

2x + 18= -10
2x. -18= -10 -18
2x= -28
X=-14

Find the distance between the two points. (round to the nearest hundredths)



distance:

Answers

Answer:

d = 5.10

Step-by-step explanation:

The distance between two points is given by

d = sqrt( ( y2-y1)^2 + ( x2-x1)^2 )  where ( x1,y1) and ( x2,y2) are the two points

d = sqrt( ( 5-6)^2 + (8-3)^2 )  

d = sqrt( ( -1)^2 + (5)^2 )  

d = sqrt(  1+25)

d = sqrt(26)

d = 5.099019514

Rounding to the nearest hundredth

d = 5.10

Answer:

[tex]d=\sqrt{26}\approx5.10[/tex]

Step-by-step explanation:

To find the distance between any two points, we can use the distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

We can see that Point R is at (3,6), and Point E is at (8,5).

Let's let (3,6) be (x₁, y₁) and let's let (8,5) be (x₂, y₂). So, substituting them into our formula, we'll get:

[tex]d=\sqrt{(8-3)^2+(5-6)^2[/tex]

Subtract:

[tex]d=\sqrt{(5)^2+(-1)^2[/tex]

Square:

[tex]d=\sqrt{25+1}[/tex]

Add:

[tex]d=\sqrt{26}[/tex]

Approximate. Use a calculator:

[tex]d=\sqrt{26}\approx5.10[/tex]

So, the distance between RE is approximately 5.1 units.

And we're done!

Find the slope
x+3=0

Answers

Answer: undefined

You would subtract 3 from both sides to get x= -3 which would be a vertical line meaning it has no slope

Write -2.32 as a mixed number in simplest form.

Answers

Answer:

- 2 8/25

Step-by-step explanation:

Hope this helps! If it does, please mark me brainliest because it will help me. Thank you so much! ;) :)

Answer:

-2.32 as a mixed number is -2 32/100 = -2 8/25

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