B is the midpoint of AC and AC=8r-20,and AB=3x-1
Find BC

B Is The Midpoint Of AC And AC=8r-20,and AB=3x-1Find BC

Answers

Answer 1

Answer:

BC = 26

Step-by-step explanation:

since B is the midpoint of AC, then AB = BC

AC = 8x - 20 & AB = 3x - 1

AC = AB + BC or 2AB

8x - 20 = 2(3x - 1)

8x - 20 = 6x - 2

subtract 6x form each side

2x - 20 = -2

add 20 to each side

2x - 20 + 20 = -2 + 20

2x = 18

x = 9

BC = 3x - 1

BC = 27 - 1

BC = 26

AC = 52


Related Questions

Lanie's room is in the shape of a parallelogram. The floor of her room is shown below and has an area of 108 square feet. Lanie has a rectangular rug that is 6 feet wide and 10 feet long. Will the rug fit on the floor of her room? Use the drop‐down menus to explain and show your answer.

Answers

Answer:

Yes it would

Step-by-step explanation:

Lanie's room is in the shape of a parallelogram.

Lanie has a rectangular rug that is 6 feet wide and 10 feet long.

Area of a rectangle = Length × Width

Area of the rectangular rug = 10 feet × 6 feet

= 60 square feet

We are told that:

The floor of her room is shown below and has an area of 108 square feet.

Hence, the rug would fit on the floor of her room because it's area is within the area of the floor of her room.

What is the base of the expression 11/12

Answers

Answer:

11

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

If mZBAC = (7x + 1) º and
mZBCA = (52 + 9) . what is the
measure of the vertex angle?

Answers

Answer:  122 degrees

==========================================================

Explanation:

Angle BAC can be shortened to "angle A" since the letter A is in the middle.

Angle BCA can be shortened to "angle C" for similar reasoning.

We're told that angles A and C are base angles. For any isosceles triangle, the base angles are congruent

-----------

Let's use this fact to solve for x.

angle A = angle C

7x+1 = 5x+9

7x-5x = 9-1

2x = 8

x = 8/2

x = 4

Once we know what x is, we can find each base angle

angle A = 7x+1 = 7*4+1 = 28+1 = 29angle C = 5x+9 = 5*4+9 = 20+9 = 29

Both angles A and C are 29 degrees each, so this confirms we have the correct x value.

-----------

The last step is to use the fact that all three angles of a triangle add to 180 degrees. This will help us find angle B, which is the vertex angle.

A+B+C = 180

29+B+29 = 180

B+58 = 180

B = 180-58

B = 122

The vertex angle is 122 degrees.  

So we can say either angle B = 122, or we could say angle ABC = 122

"angle ABC" is the same as "angle CBA".

hola me ayudan pliss como saco el resultado de 584 × (?) =179288 y (?) ÷ 143 = 572​

Answers

1) = 307
2) = 81796

1) 179288/584 = 307
2) 572 x 143 = 81796

Answer:

1)307

2)81796

Step-by-step explanation:

584 × (?) =179288

[tex]\frac{179288}{584}[/tex] =307

(?) ÷ 143 = 572​

572x143 =81796

¡Espero que esto sea de ayuda! :)

(-5x + 4) - (3x2 – 7x + 4) simplified and written in standard form?​

Answers

Answer:

Simplify the expression=

− 3 x^ 2  +  2 x

It's the same thing in standard form.

Step-by-step explanation:

Answer:

-3x^2+2x

Step-by-step explanation:

PLSSSS HELP IM BEGGING YOU PLSSSS

Answers

92000 in expanded form
9.2 x 10^4 in scientific notations
Simplify 10^4 to 10,000 and 10^3 to 1,000:
9 x 10,000 + 2 x 1,000

Simplify 9 x 10,000 and 2 x 1,000:
90,000 + 2,000

= 92,000

1. Use a trigonometric ratio to determine the value of x for each the
triangle. Round your answer to the nearest hundredth. *
8 mm
Х
26°

Answers

Read the top and you have your answer
The trigonmetric ratio is the answer... And if not then try brainlys quick answers

Jim is designing a seesaw for a children's park. The seesaw should make an angle of 30° with the ground, and the maximum height to which it should rise is 1 meter, as shown below: A seesaw is shown with one end on the ground and the other in the air. The seesaw makes an angle of 30 degrees with the ground. What is the maximum length of the seesaw? (6 points) Group of answer choices 1.4 meters 2 meters

Answers

The sine rule is the ratio of perpendicular to the hypotenuse, then the maximum length of the seesaw will be 2 meters.

What is a right-angle triangle?

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

Jim is designing a seesaw for a children's park.

The seesaw should make an angle of 30° with the ground, and the maximum height to which it should rise is 1 meter.

Then the maximum length of the seesaw will be

We know that the sine rule is given as

[tex]L = \dfrac{1 }{ \sin 30} \\\\ L = \dfrac{1}{1/2} \\\\L = 2[/tex]

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

Answer:

2 meters

Step-by-step explanation:

Given the graph, what is in initial value of the function?

(5 points)

A coordinate grid is shown with x and y axes labeled from 0 to 7 at increments of 1. A straight line joins the ordered pair 0, 1 with the ordered pair 6, 7.


a
1

b
5

c
6

d
7

Answers

Answer:

6

Step-by-step explanation:

I have a big thick lookin brain

Im not completely sure so please dont get upset with me. : )

John’s batting average is 0.278. What is his batting average rounded to the nearest ​hundredth​?

Answers

Answer:

0.28 easy

Step-by-step explanation:

cuánto es 30+30 me lo dices ​

Answers

Answer:

60

Step-by-step explanation:

3+3 es 6, después ponele el 0 al final

Select the correct answer from the drop-Cown menu.
The roots of the quadratic equation
are x= 2 + i.
Drop down options
x^2-4x-5=0
x^2+4x+5=0
x^2-4x+5=0
x^2+4x-5=0

Answers

Answer: Option 3 is correct
Hope this helps : )

The x=2+i is the root of the quadratic equation x²-4x-5=0. Therefore, option A is the correct answer.

What is the solution of a quadratic equation?

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

Given that, the roots of the quadratic equation are x= 2 + i.

The roots of a quadratic equation ax² + bx + c = 0 are given by x = [-b ± √(b² - 4ac)]/2a.

A) x²-4x-5=0

Here, x=[4±√(16-20)]/2

x=[4±2i]/2

x=2±i

x=2+i or x=2-i

Therefore, option A is the correct answer.

To learn more about the solution of quadratic equation visit:

https://brainly.com/question/18305483.

#SPJ7

I know the answer for this isn't a , but I'm not sure what the answer is. Cuz I would think you would be z y , y x, and XZ but that's not answer choice ​

Answers

Answer:

its the first one

Step-by-step explanation:

what is the mean of the data set? 16, 24, 26, 13

Answers

Answer:

20

Step-by-step explanation:

17+24+26+13=80

80/4=20

Find the seventh term of the geometric sequence 1, 2, 4, ... and the sum of the first seven terms. t7= S7=

Answers

Answer:

Seventh term is 64

Sum of the first seven terms is 127

Step-by-step explanation:

The common ratio is 2

[tex]a_{n} = a_{1} r^{n - 1}[/tex]    

n = 7 and the first term is 1.  So,

[tex]a_{7} = 1(2^{7 - 1} ) = 2^{6} = 64[/tex]

Seventh term is 64

[tex]S_{n} = \frac{a_{1} (r^{n} -1)}{r - 1}[/tex]

[tex]S_{7} = \frac{1(2^{7} -1)}{2 - 1}[/tex]

    [tex]= \frac{128 - 1}{1} = 127[/tex]

Sum of the first seven terms is 127

Clasificación de los ángulos de acuerdo a sus aberturas

Answers

Answer:

recto, agudo, obtuso, liano, completo, convexo, cóncavo

Step-by-step explanation:

subtract (2y + 3x-x²) from (5x²-y2-2x)​

Answers

Answer:

6x² - 5x - y² - 2y

Step-by-step explanation:

We have

5x² - y² - 2x - (2y + 3x - x² ) ← distribute parenthesis by - 1

= 5x² - y² - 2x - 2y - 3x + x² ← collect like terms

=  6x² - 5x - y² - 2y

Can someone help me with this
I’ll mark as brainliest.

Answers

1 = 10
2 = 12
3 = 14
4 = 16
5 = 18
6 = 20


Δweight
------------- =
Δ cost

2-1
------- =
12-10

1

2

Answer:

The W/C is divided by the numbers on top to the number on the bottom

may i have brainlist??

Two learners are planning to make baskets to raise money for the honors society at their school. Marcia will make baskets out of palms. Norma plans to make baskets out of pine straw. Together, they have $100 to spend on supplies.

The palm baskets cost $4 to make and will sell for $20.
The pine straw baskets cost $3 to make and will sell for $17.
The learners agree that they will each make at least 14 items. Let x represent the number of palm baskets and let y represent the number of pine straw baskets.

Answers

Answer:

3

Step-by-step explanation:

Pretty sure it is the third but sorry if im incorrect

If you give me the correct answer I will give you brainliest plz help

Answers

It’s 1 and 2.
Comment if you need clarification.

solve the equation r4·r3 = _____

Answers

r12 because you multiply the numbers but keep the (r)

I NEED THIS RN AS FAST AS POSSIBLE! Your teacher decides to split the class into four equal groups with no more than five students in each group. that represents the number of students in the class.

Answers

Answer:

option 1 i think

Step-by-step explanation:

imma just take these 5 points back

2x x 5z x y
simplify the equation ​

Answers

Answer: The simplified form of 2x · 5z · y is 10xzy.

Step-by-step explanation:

A sign in a bakery gives these options: Option A: 15 cupcakes for $30 Option B: 30 cupcakes for $56 Option C: 60 cupcakes for $100 1. Find each unit price to the nearest cent. 2. Which option is the best deal per cupcake and gives the lowest unit price?​

Answers

We’re looking for cost per cupcake.

Option A: 15 cupcakes for $30
$30 / 15 = $2 per cupcake

Option B: 30 cupcakes for $56
$56 / 30 = $1.86666 (round to $1.87) per cupcake

Option C: 60 cupcakes for $100
$100 / 60 = $1.66666 (round to $1.67) per cupcake

Option C is the lowest unit price, and best deal

the area of the farm is 600 square meters. The area of the garden is 120 square meters. What percent of the farm is the garden?

Answers

The answer is 20%
120 is a fraction of 600
(120/600)
And to find the percentage of a fraction you divide the top by the bottom, and move over 2 place values
120 divided by 600 is .20
20%

help me

for question 6, write the equation in standard form ax by=c (show your work). from: y=m b to Ax By=c

Answers

Since you have the slope m = -3 and the point (-9, -2) you can use the Slope Intercept Form to find b

y = mx + b

-2 = -3(-9) + b

-2 = 27 + b

Subtract 27 from both sides of the equation to get b

-2 - 27 = b

-29 =b

And the Slope Intercept Form

y = -3x -29

Now you can rearrange the Slope Intercept Form to give the Standard Form by adding 3x to both sides of the equation.

y + 3x = -29

I hope you find this useful and if you have any questions please send me a message.

Micah invests $5,280 in an account that earns 4.2% interest, compounded monthly.

Part A
Write a function for the amount that will be in the account after t years.

Part B
What is the value of the account after 8 years?

Answers

a) The function is given as follows: [tex]A(t) = 5280\left(1 + \frac{0.042}{12}\right)^{12t}[/tex]

b) The value of the account after 8 years is given as follows: $7,384.

What is compound interest?

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

P is the principal, which is the value of deposit/loan/....r is the interest rate, as a decimal value.n is the number of times that interest is compounded per year, annually n = 1, semi-annually n = 2, quarterly n = 4, monthly n = 12.

The parameter values for this problem are given as follows:

P = 5280, r = 0.042, n = 12.

Hence the equation is given as follows:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A(t) = 5280\left(1 + \frac{0.042}{12}\right)^{12t}[/tex]

The value of the account after 8 years is obtained as follows:

[tex]A(8) = 5280\left(1 + \frac{0.042}{12}\right)^{12 \times 8}[/tex]

A(8) = $7,384.

More can be learned about compound interest at https://brainly.com/question/24274034

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If anyone knows how to solve this please help!!!

Answers

Answer:

i believe it would be 80⁰

Step-by-step explanation:

an angle accross a straight line in 180⁰, half of that of a circle witch is 360⁰. so if part of your angle is 100⁰, the other must be 80⁰

What is the slope of the line through the points (2, 5) and (6, 13)?

Answers

Answer:

Step-by-step explanation:

Rule: Y2 - Y1 / X2 - X1

m= 13-5 ÷ 6-2

  =8/4 =2

Hope it helps! :D

What time is it in Vietnam right now?

Answers

Answer:

it's

3:26 pm to be exact!

Step-by-step explanation:

15:26

Friday,19February 2021

I hope it's helpful!

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