b is the midpoint of ac. if ab=8x-7 bc=6x+7 find ac

Answers

Answer 1

Answer: AC = 98

Step-by-step explanation:

A midpoint is a point on a line segment that divides it into two equal parts.

This means AB = BC

AB = 8x - 7

BC = 6x + 7

AB = BC

8x - 7 = 6x + 7

Solve this to find x

Add 7 to both sides

8x = 6x + 14

Subtract 6x from both sides

2x = 14

Divide both sides by 2

x = 7

Now AC = AB + BC

AC = AB + BC

AC = 8x - 7 + 6x + 7

AC = 14x

Substitute 7 for x

AC = 14(7)

AC = 98

Hope this helps!


Related Questions

Which customary unit would you use to measure the amount of flour in
a cake recipe?
1. cups
2. feet
3. fluid ounces
4. inches
5. ounces

Answers

Answer:

cups !!

Step-by-step explanation:

The answer is cups.

how do you simplify 4 ^2 × 4^5 ​

Answers

Answer:

4^7

Step-by-step explanation:

4^2 + 4^5

=> 4^ 2+5

=> 4^7

Answer:

Step-by-step explanation:

find the value 4/25 1/2

Answers

Answer:

2/5

Step-by-step explanation:

we know any number raised to power 1/2 means that we need to find the square root of that number.

(4/25)^1/2= =√(4/25)√4/√25

√4=2

√25=5

√(4/25=2/5

(hope this helps can i plz have brainlist :D hehe)

What is BD? please help bru i keep getting trollers

Answers

Answer:

BD=13

(This must not be drawn to scale)

Step-by-step explanation:

You have to use the Angle Bisector Theorem to get a ratio.

12/x=27/(x+5)

cross multiply

12(x+5)=27x

12x+60=27x

60=27x-12x

60=15x

60÷15=x

x=4

BD=x+x+5=4+4+5=13

Bd =13 that is easy but yuh that’s the answer mate

A math student has a plan to solve the following system by the elimination method. To eliminate the x-terms, he wants to multiply the top equation by 7. What
should he multiply the second equation by so that when he adds the equations, the x-terms are eliminated?
-3x-7--56
-7x+10y - 1

Answers

Answer:

-3

Step-by-step explanation:

7(-3x-7y-56)

-21x-49y-392

-3(-7x+10y-1)

21x-30y+3

because the eq. multiplied by 7 is negative, the second eq mus be positive in order to eliminate the x variable. this is why we multiply by a (-). by multiplying the second eq by 3, both eq. will result in a coefficient of 21. one positive one negative allowing the x variable to be eliminated from the problem.

answer and show work and ill give brainliest, Steven has one bag that contains three table-tennis balls numbered 1, 2, and 3. He also has a second bag that contains four table-tennis balls lettered A, B, C, and D.

Answers

Answer:

B

Step-by-step explanation:

Assuming Part A is the situation where the bags aren't merged, the probability of drawing a "1" followed by a "B" is (1/3)(1/4) or 1/12. This is because you have a 1/3 chance of getting a "1" and a 1/4 chance of getting a "B".

Now if we merge the bags, we have a 1/7 chance of getting a "1". We then have a 1/6 chance of getting a "B". This is because after we complete the first draw, the bag only has 6 remaining not 7. This gives us a probability of (1/7)(1/6) or 1/42.

So we know the probability will change so C is wrong. In both scenarios, we draw two balls anyways so A is wrong.

This leaves B, which is supported by the reasoning presented above.

One number is five less than another. Their sum is fifteen. Find the numbers.

Answers

Answer:

THE NUMBERS ARE 10 AND 5

Step-by-step explanation:

LET THE ANOTHER NUMBER BE X THEN

ONE NUMBER = X - 5

BY THE QUESTION

X - 5 + X = 15

2X = 15 + 5

2X = 20

X = 10

X - 5 = 10 - 5 = 5

Answer:

hi 5 and 10 is required no.

let no. be x

another no.be x+5

Step-by-step explanation:

sum=15

x+x+5=15

2x=15-5

2x=10

x=10/2=5

x+5=5+5=10

Describe the sequence of transformations that shows a quadrilateral of rstu is similar to quadrilateral VXYZ

Answers

Answer: What does the figure look like exactly?

Step-by-step explanation:

Write an expression to show k less than 10

Answers

Step-by-step explanation:

"Write an expression to show k less than 10"

"less than" means that the number is being subtracted from a different number.

This means that "10" is being subtracted from "k"

Thus,

k - 10 is the appropriate expression for the statement, "k less than 10"

ANSWER:   k - 10

A gas station sells 1600 gallons of gasoline per hour if it charges $ 2.70 per gallon but only 900 gallons per hour if it charges $ 2.95
per gallon. Assuming a linear model
(a) How many gallons would be sold per hour of the price is $ 2.90 per gallon?
Answer:
(b) What must the gasoline price be in order to sell 1300 gallons per hour?
Answer:

Answers

Answer:

Look just at finding the linear model. Two points. Use price per gallon for x and gallons per hour sold for y. Your two points (x,y) are (2.15,1600) and (2.55,800).

Slope m=%281600-800%29%2F%280.15-0.55%29

m=800%2F0.40

m=2000

Using point-slope form for a line, and the lower-y point,

y-800=2000%28x-2.55%29

highlight%28y=2000%28x-2.55%29%2B800%29

When simplified, the expression (x^1/9) (x^2/9).
is 6. Which is a possible value of x?

Answers

Answer:

Step-by-step explanation:

x^(1/9)(x^(2/9))

x^(1/9+2/9)

x^(3/9)

x^(1/3)=6

x^(1/3)^(3)=6^3

x=216

This is midpoints geometry I need help soon.

Answers

Answer:

x=4.5

Step-by-step explanation:

PR=28

PQ= 2x+5

Require

Find X

A side of the triangle below has been extended to form an exterior angle of 128° . Find the value of x.​

Answers

Answer:

Step-by-step explanation:

The sum of adjacent angles traversed by a line must equal 180 degrees.

128+x=180

x=52

Answer:

x=52 degrees

Step-by-step explanation:

x=180-128=52 degrees because x is supplementary to 128 degrees.

Rachel needs to buy at least 72 juice boxes for a community picnic. At the store, juice boxes are sold in packs of 3 juice box each. How many packs of juice boxes does Rachel need to buy?

Answers

Answer:

24

Step-by-step explanation:

Answer:

3x = 72

x = 24

3(24) = 72

24 boxes of juice need to be bought.

hope this helped yw

A convex octagon has interior angles with measures (x + 55). (3x + 20), 4x°. (4x - 10). (6x - 55) (3x + 52). 3.xº, and (2x + 30). Find
the value of x.

Answers

Answer:

mmmmmmmmkkkkkkkkkkkkkkkkkk

I don't know how to do in phone but will try to make u brainliest if u answer these Q for me..

Answers

Answer:

Step-by-step explanation:

18 cubic units.

:::::

Length = 90÷(6×3) = 10 units

:::::

10 cubes × (4 cm³)/cube = 40 cm³

:::::

2×5×6

and

5×3×4

Help ASAP I’ll give 51 points and anything I need it now pls
7th grade math

Answers

3x-x+2=4 is the answer <3

what the reciprocal of 7/9 the reciprocal of 9

Answers

Answer:

tge reciprocal of 7/9 is 9/7 while the reciprocal of 9 is 1/9

hello!

In order to find the reciprocal of a number, we should just flop it over.

If we have a fraction, and we're asked to find its reciprocal, we should just flop it over.

Please consult the formula for more details:-

[tex]\sf{The~reciprocal~of~a~is~\frac{1}{a}} \\The~reciprocal~of~\frac{a}{b} ~is~\frac{b}{a} }}[/tex]

According to the formula,

[tex]\sf{The~reciprocal~of~\frac{7}{9} ~is~\frac{9}{7} }\\The~reciprocal~of~9~is~\frac{1}{9} }}}[/tex]

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

What will be the area of this parallelogram?



Include the appropriate unit in your answer.

Answers

Answer:

13.75 square feet

Step-by-step explanation:

all you have to do to find the area of a parallelogram is base * height

= 2.5 * 5.5

= 13.75 square feet

Answer:

13.75 ft^2

Step-by-step explanation:

I) Substitute equation to find the area

a = hb (area = height x base)

a = 2.5(5.5)

II) Solve:

a = 2.5(5.5)

a = 13.75

The area is 13.75 ft^2.

Please help fast I’ll give u a lot of points
Please say the right answer

Answers

Answer:

Plant A is increasing 2cm each day.

Plant B is increasing 6cm each day

Plant B is increasing 4cm more than Plant A each day.

In 2010, 8476 earthquakes
ocurred in the united states
of these 91.4% were minor
tremors with magnitude of
3.9 or less on the Richter
scale. How many minor earth
quakes occurred in the United
States in 2010? Round to
the nearest whole number​

Answers

Answer:

7747

Step-by-step explanation:

8476 × 91.4%

=7747

∴ 7747 minor earthquakes occured in 2010

Answer:

Step-by-step explanation:first I don't know

Second I don't know

And finally I don't know

Maya took a taxi from her house to the airport. The taxi company charged a pick-up
fee of $1.90 plus $4.50 per mile. The total fare was $24.40, not including the tip.
Write and solve an equation which can be used to determine m, the number of miles
in the taxi ride.

Answers

24.40 minus 1.90 minus 4.50

Find the value of y

95
15
19
85

Answers

Answer:

im only doing this bc im forced to

Answer:

19

Step-by-step explanation:

180-85 = 5y

5y = 95

y = 19

Please help and quick

Answers

4 and 2 because she is the acrooss line

Solve the equation -10(d+1)=-14 I ready, please help ASAP!!

Answers

Answer:

d = 0.4

Step-by-step explanation:

-10 (d + 1) = - 14

=> -10d - 10 = -14

=> -10d = -14 + 10

=> -10d = -4

=> 10d = 4

=> d = 4 / 10

=> d = 0.4

Hope it helps :)

Please mark my answer as the brainliest

the distance between two cities on a map is 3.5 centimeters. The map uses a scale in which 1 centimeter reprecents 20 kilometers. what is the actual distance between these two cities in kilometers?

Answers

Answer:

70 kilometers

Step-by-step explanation:

Set up a proportion where x is the actual distance

[tex]\frac{1}{20}[/tex] = [tex]\frac{3.5}{x}[/tex]

Cross multiply:

x = (20)(3.5)

x = 70

So, the actual distance is 70 km

PLEASE ANSWER CORRECTLY

Answers

Answer:

$76.32

Step-by-step explanation:

First, add up all the costs for everything:

17 + 30 + 25 = 72

Now, we need to add the sales tax. To do this we multiply 72 by 1.06. This is because the sales tax is 6% (the decimal form of 6% is 0.06), and we add it on to the 100% cost (which is 1 in decimal form).

(72)(1.06) = 76.32

Therefore the total cost of everything Walter bought plus the tax rate is $76.32.

I hope this helps!!

- Kay :)

John is a computer salesman. He makes 8% commission on all sales. If John’s sales for the week are $24,300, how much did he earn in commission?

Answers

He made $1 944 in commission

X^3+9X^2–25X–33=0
Find The root of X??

Answers

Answer:

x=-11, -1, and 3

Step-by-step explanation:

x^3+9x^2-25x-33=0

There are formulas to solve cubics, but that probably is not the way you are expected to go.  Here is a trial and error approach that works in this case.

Assume that the cubic can be factored and that the roots are r1, r2, and r3.  Then the factored form is

(x-r1)(x-r2)(x-r3)=0

This shows that the constant must equal the product of the roots.

(r1)(r2)(r3)=-33

One possibility is that the roots are integers.  In this case, a factor of 33 might work.  Prime factorization of 33 gives 3 and 11.  Try 3.  Then (x-3) is a factor.

Divide the cubic by (x-3).  It works. the result is

x^2+12x+11

This has factors of (x+11) and (x+1).  Therefore, the roots are 3, -1, and -11

Can someone help? Please I need it quickly

Answers

Answer:

Step-by-step explanation:

ok so the answer for the one after 12x is 8x I think but it would only make sens i dunno the answer to the fraction

Answer and Step-by-step explanation:

Let's solve your equation step-by-step.

−2(x+5)=4

Step 1: Simplify both sides of the equation.

−2(x+5)=4

(−2)(x)+(−2)(5)=4(Distribute)

−2x+−10=4

−2x−10=4

Step 2: Add 10 to both sides.

−2x−10+10=4+10

−2x=14

Step 3: Divide both sides by -2.

-2x/2 = 14/-2

x equals...

x=-7

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