- B is the midpoint of line segment AC. If AB = 3x - 8 and BC = x + 12, find the value of x.

- B Is The Midpoint Of Line Segment AC. If AB = 3x - 8 And BC = X + 12, Find The Value Of X.

Answers

Answer 1

Answer:

x = 10

Step-by-step explanation:

Since B is the midpoint of segment AC, then AB = BC.

AB = BC

3x - 8 = x + 12

2x - 8 = 12

2x = 20

x = 10

Answer 2

As per the given information, the value of x is 10. For understanding, check the calculations provided below.

Midpoint

A midpoint is a point that divides a line into two parts equally.

In the given diagram,

B is the midpoint of line segment AC. Midpoint B divides the line segment AC equally.

When a midpoint B divides equally then AB = BC

Given that,

AB = 3x-8 and BC = x+12

B is the midpoint of line segment AC.

So,

AB = BC

Substitute the expression and solve for x

AB = BC

3x-8=x+12

Subtract x,

⇒ 3x-x-8 = x-x+12

⇒ 2x-8=12

Add 8

⇒ 2x = 12+8

⇒ 2x = 20

divide by 2

∵ x = 10

Thus, the value of x is 10.

Learn more information about 'Midpoint' here:

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Hannah invests £350 in an account that pays 3.5% compound interest per annum. Work out how much money Hannah will have in her account in 12 years.

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Hannah will have £528.87 because if you use the equation A=P(1+r/n)^nt you will get that

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4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Just multiply the 1 times 4

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Answer:

9. 40°

10. 50°

11. 270°

12. 310°

Step-by-step explanation:

m∠BPC = 40° because it is complementary to ∠APB, which is 50°.

Arc AB is 50° because it will be equal to the central angle, which is 50°.

Arc ADC is 270° because it will be equal to the central angle, which is 270°.

Arc ADB is 310° because it will be equal to the central angle, also 310°.

Simplify sqrt of 75x^6y^11 to the form a sqrt of b

Answers

Answer:

2121221

Step-by-step explanation:

50 POINTS!! WILL MARK BRAINLIEST FOR CORRECT ANSWER!

The diagram shows a cuboid.
The height of the cuboid is 6cm.
The volume is 90cm3

What is the area of the shaded face?

Answers

Answer:

The area of the face is 15 cm^2

Step-by-step explanation:

The formula for volume is

V = Bh  where B is the area of the base and h is the height

90 = B * 6

Divide each side by 6

90/6 = 6B/6

15 = B

The area of the face is 15 cm^2

Answer:

15cm^2

Step-by-step explanation:

width will be 6cm since its side face is square.

V=lwh

90cm^3=l*6cm*6cm

90cm^3=36cm^2*l

l=90cm^3/36cm^2

l=2.5cm

so the area of the shaded face will be..

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Help please someone

Answers

Answer: 751 points

Step-by-step explanation:

454 + 297 = 751

Answer:

751

Step-by-step explanation:

-297 + 454 = 751

Easier way of doing this is rounding 297 to 300 and doing 454 + 300, and subtracting 3.

Reduce -6+b^6 by 2+b^4

A. -8+b^10
B. -4+b^10
C. -4+b^2
D. -8+b^6-b^4

Answers

Answer:

D

Step-by-step explanation:

-6 + b⁶ - (2 + b⁴) = - 6 + b⁶ - 2 - b⁴  {Now add the like terms}

                          =  -6 - 2 + b⁶ - b⁴

                          = -8 + b⁶ - b⁴

Answer is A

Hope it helps

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Please answer the following algebra question ASAP not too hard

Answers

Answer:

(3)

Step-by-step explanation:

(1), (2) and (4)

can be written as Fr= p1-p2, F and r are inversely proportional

(3) r is directly proportional with F which is opposite to the given formula

hence this is incorrect

Can someone please answer this?

Answers

Answer: it is a parallelogram

Step-by-step explanation:

the coordinates form a parallelogram as you can see on the grid.

the shapes edges are joined together to form a parallelogram

there you go

AB is a segment with one endpoint A(-7,9) and midpoint M(8,1). Can
you find the coordinates of the other endpoint B?
Enter the x-coordinate of the other endpoint here
Enter the x-coordinate of the other endpoint here​

Answers

Answer:

x-coordinate of the other endpoint: 23

y-coordinate of the other endpoint: -7

Step-by-step explanation:

To find the x-coordinate of the other endpoint, we need to find the run between the known endpoint and the midpoint

run: xM - xA = 8 - (-7) = 15

where xM and xA are the x-coordinates of M and A respectively.

The run between the other endpoint and the midpoint must be the same as before:

x - 8 = 15

x = 15 + 8

x = 23

To find the y-coordinate of the other endpoint, we need to find the rise between the known endpoint and the midpoint

rise: yM - yA1 =  - 9 = -8

where yM and yA are the y-coordinates of M and A respectively.

The rise between the other endpoint and the midpoint must be the same as before:

y - 1 = -8

y = -8 +1

y = -7

The table below shows the weekly change in the price of one gram of gold for four weeks.

By how much did the price of one gram of gold change from the beginning of week 1 to the end of week 4?

Answers

Answer:

I mean it changed by .25

Step-by-step explanation:

Im not sure if youre asking for the median or the price difference?

Kim’s family spends $62.50 on dinner. They leave an 18% tip. How much is their total bill after tip?

Answers

Answer:

51.25

Step-by-step explanation:

Multiply 62.5 by .18. You get 11.25. Subtract that from 62.5 and you get 51.25.

Answer:

Multiply the price with the tip rate

18% = 0.18

62.5 x 0.18 = 11.25

that is the tip. We add that on to find the total price

62.5 + 11.25 = 73.75

73.75 dollars is the answer. Hope this helps

Step-by-step explanation:

Jason wants to cut a rope that is 60 feet long into several equal pieces with nothing left over. How many pieces will he have if the length of each piece is the greatest integer possible?

Answers

Answer:

2 pieces, 30ft each

Step-by-step explanation:

rope : 60ft long

we are trying to figure out how many equal pieces we can cut the rope into with the length of each piece to be the greatest possible integer:

if jason wants the length of rope to be the longest than the answer is 2, if he divides the length of 60 by 2, each piece will be 30 feet long. If he divides the rope by any number larger, each piece will be shorter than 30 feet, and he wants the piece to be the largest possible length.

Answer

The answer is 2 pieces and 30ft

An isosceles triangle has two congruent side lengths of 20 inches.
The base of the triangle has a length of 32 inches. What is the height of the
triangle?
12 inches
10 inches
15 inches

Answers

Answer:

h = 12

Step-by-step explanation:

We can use the Pythagorean theorem

a^2 + b^2 = c^2

The legs are 32/2 = 16 and the height h

The hypotenuse is 20

16^2 + h^2 = 20^2

256 + h^2 = 400

h^2 = 400-256

h^2 = 144

Taking the square root of each side

h = sqrt(144)

h =12


[tex]( {8x}^{2} + 4x + 4) - (7x + 9)[/tex]
Solve.

Answers

Answer:

Combining like terms together we get 4x - 7x = -3x and 4 - 9 = -5 so the answer is 8x² - 3x - 5.

What value of x will make the triangles similar by the sss similarity theorem?

Answers

The ratio = 15/20 = 3/4
21/x = 3/4
x = 28

Answer:

28

Step-by-step explanation:

Factorise 5n + 15
Please

Answers

Answer:

The correct answer is

5(n + 3)

Use the distributive property to factor

Hope this helps!

- Quinn

Answer:

Step-by-step explanation:

5n + 15 = 5*n + 5*3

           = 5* [n + 3]

           = 5[n + 3]

Given: Line A B intersects Line D E at point C.
Prove: AngleDCB Is-congruent-toAngleECA

Line D E intersects line B A at point C.
A 2-column table with 6 rows. Column 1 is labeled statements with the entries line A B intersects line D E at point C, angle D C B and angle B C E are a linear pair, angle D C B is supplementary to angle B C E, angle B C E and angle E C A are a linear pair, angle B C E is supplementary to angle E C A, angle D C B is-congruent-to angle E C A. Column 2 is labeled reasons with the entries given, definition of linear pair, linear pair post, definition of linear pair, question mark, congruent to supplementary theorem.
What is the missing reason in step 5?

linear pair postulate
given
definition of complementary angles
congruent complements theorem

Answers

Answer:

linear pair postulate

Step-by-step explanation:

The linear pair postulate is the missing step.

What's the meaning of a linear pair of lines?

Linear pair of angles are formed when two lines intersect each other at a single point. The angles are said to be linear if they are adjacent to each other after the intersection of the two lines.

What is a Postulate?

Postulate statement received without evidence. Axiom is any other name for postulate. for instance, if you understand that Pam is 5 feet tall and all her siblings are taller than her, don't trust her if she says that all her siblings are at the least 5 toes tall.

Learn more about the linear pair postulate here: brainly.com/question/19246011

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How do I find the value of x?

Answers

Answer:

Since you're asking how to find the value of x, you can use cosine, since the triangle is a right triangle.

Answer:

Only cosine include both hypotenuse and adjacent. We need both of them because those are 2 side that have numbers/letters.

So cos(28) = 11/x

Multiply by x

Then you'll get xcos(28) = 11

Do oposite cosine and you'll get

x = 11*opposite cos(28)

opposite cosine means cos^-1

thats approx. equal to 12.46 units

asaphhhhhhhhhreeeerlllloppo

Answers

Answer:

(3 x 2 x 3 x 2) + (2 x 2 x 2 x 2 x 3)

Step-by-step explanation:

36 = 6 x 6

6 = 3 x 2

36 = 3 x 2 x 3 x 2

48 = 12 x 4

12 = 3 x 4

4 = 2 x 2

48 = 2 x 2 x 2 x 2 x 3

ASAP What is the slope of the line y= 3?

Answers

Answer:

the slope is zero because

Step-by-step explanation:

this is a perfect horizontal line passing through y=-3

I've been thought

hope it helps

Answer:

Slope = 0

This is because the line does not go up or down. And the line is horizontal leading to the factor of the slope being 0.

Which number line best shows the position of 113?
13
+
+
+
+
-3
-4
-2
-1
0
1
2
3
4.
13
a
+
+
+
+
1
+
2
-4
-3
-2
-1
0
2
3
4
113
++
+
-4
-3
-2
-1
0
1
2
3
4
13
+
-5
-3
-2
-1
0
1
2.
3
4
5

Answers

This question is a little wonky about its format and structure. Hope you have a great day still!

HELLO PLEASE HELO ME.

Answers

Answer:

the answer is 33

Step-by-step explanation:90 - 57=33

Answer:

33 degrees

Step-by-step explanation:

90-57=33

What is the value of the 3 in 630

Answers

Answer:

hey mate, here is your answer. Hope it helps you.

Step-by-step explanation:

We can write 630 in expanded form as:

630 = 600 + 30 + 0

and in words:

630 = 6 hundreds, 3 tens and zero ones

the value 6 is 600

and the place value of 3 is 30 and the face value is 3 in the number 630.

The number can be written in the expanded form as 600 + 30 + 0 and the face value is 3 in the number 630.

What is the number?

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

It is given that:

The number is 630

As we know, the arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

The number 630 can be written as:

630 = 6x100 + 3x10 + 0x1

630 = 600 + 30 + 0

The above expression represents the expanded form of the number 630.

In words:

630 = 6 hundred, 3 tens, and zero ones

The value 6 is 600

The place value of 3 is 30 and the face value is 3 in the number 630.

Thus, the number can be written in the expanded form as 600 + 30 + 0 and the face value is 3 in the number 630.

Learn more about the number here:

brainly.com/question/17429689

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Help please if you answer you get 25 points

Answers

The answer is 3.9. In fraction form the answer is 89/10. In mixed fraction form the answer is 8 9/10

Answer:

8.9

Step-by-step explanation:

Use Pemdas or Bedmas ( Brackets, Exponents, Division, Multiplication, Addition, Subtraction.

First add 4.5 and 7.6, you get 12.1

Now do the division, 8/2.5 = 3.2

Lastly you subtract, 12.1-3.2 = 8.9

Simplify: 6-/18 - 3.450

Answers

Answer:

-3.11666666667

Step-by-step explanation:

remove parentheses by multiplying factors.

use exponent rules to remove parentheses in terms with exponents.

combine like terms by adding coefficients.

combine the constants. hope this helps you :)

Is the sqre root of 16 + 3/4 irrational

Answers

The square root of 16 is a rational number. The square root of 16 is 4, an integer. This is because 16 is a perfect square.

How many solutions does the following system of equations have? y=5/2x+2 and 2y=5x+8

Answers

Answer:

No solutions.

Step-by-step explanation:

y = 5/2x + 2

2y = 5x + 8

Plug the first equation into the second.

2(5/2x + 2) = 5x +8

5x + 4 = 5x + 8

5x + 4 cannot equal 5x + 8, so this system of equations has no solutions.

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In the unit similar triangles and trigonometry, what is “ primary Trigonometry ratio-memory trick ?”

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The homeless situation
Could it be “soh cah toa”?

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Answer:

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