What is the answer of question 84?

Answer:

Concept:

Here, we need to know the idea of the segment addition postulate.

The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

If you are still confused, you may tell me or refer to the attachment below for a graphical explanation.

Solve:

Question 22. If AC = 16, what is x?

Given information

AC = 16

AB = x + 7

BC = 2x

Given expression deducted from the segment addition postulate

AB + BC = AC

Substitute values into the expression

x + 7 + 2x = 16

Combine like terms

x + 2x + 7 = 16

3x + 7 = 16

Subtract 7 on both sides

3x + 7 - 7 = 16 - 7

3x = 9

Divide 3 on both sides

3x / 3 = 9 / 3

[tex]\boxed {x=3}[/tex]

Question 23. What is AB?

Given information

x = 3

Given expression deducted from the segment addition postulate

AB = x + 7

Substitute values into the expression

AB = (3) + 7

[tex]\boxed {AB=10}[/tex]

Question 24. What is BD?

Given information

BC = 2x

CD = 3x - 1

x = 3

Given expression deducted from the segment addition postulate

BD = BC + CD

Substitute values into the expression

BD = 2x + 3x - 1

BD = 2(3) + 3(3) - 1

BD = 6 + 9 - 1

BD = 15 - 1

[tex]\boxed {BD=14}[/tex]

Question 25. What is CE?

Given information

CD = 3x - 1

DE = 2x + 3

x = 3

Given expression deducted from the segment addition postulate

CE = CD + DE

Substitute values into the expression

CE = 3x - 1 + 2x + 3

CE = 3(3) - 1 + 2(3) + 3

CE = 9 - 1 + 6 + 3

CE = 8 + 6 + 3

CE = 14 + 3

[tex]\boxed {CE=17}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

37

Step-by-step explanation:

Answ 925

Step-by-step explanation:

Answer:

Step-by-step explanation:

The area of the triangle is

B*h/2

Where B=x+5 and h=x-2 so if we substitute

(x+5)*(x-2)/2 =

(x^2 +3*x -10)/2=

x^2/2 + 3/2 *x -5

Answer:

6

Step-by-step explanation:

|72| ÷ |-12|

Absolute value of 72 = 72

Absolute value of -12 = 12

72 ÷ 12 = 6

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

B

Step-by-step explanation:

For a function to be a function, every x value can only equal a single y value. A has two y values for one x value, and so does C and D. This leaves only B.

Answer:

Angle x = 90 - 47 = 43 degrees

Angle g = 90 - 43 = 47 degrees

Step-by-step explanation:

Answer:

x-3

Step-by-step explanation:

the inverse is x-3

this is the answer

Answer: Circumference = 7.85 inches

Concept:

Here, we need to know the idea of circumference.

The circumference is the perimeter of a circle. The perimeter is the curve length around any closed figure.

Circumference = 2πr

r = radius

π = constant

Solve:

Given information

r = (1/2) d = (1/2) (2.5) = 1.25 inches

π = 3.14

Given formula

Circumference = 2πr

Substitute values into the formula

Circumference = 2 · (3.14) · (1.25)

Simplify by multiplication

Circumference = (2.5) · (2.14)

Circumference = [tex]\boxed {7.85 inches}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Step-by-step explanation:

Using the formulas

C=2πr

d=2r

Solving forC

C=πd=π·2.5≈7.85398in

Step-by-step explanation:

[tex](2x - 6) \frac{3}{2} = 21 - 4x \\ \\ lcm = 2 \\ 2\times (2x - 6) \frac{3}{2} = (21 \times 2) -( 4x \times 2) \\ \\ 3(2x - 6) = 42 - 8x \\ 6x - 18 = 42 - 8x \\ 6x + 8x = 42 + 18 \\ 14x = 60 \\ x = \frac{30}{7} = 4.286(2.d.p)[/tex]

Answer:

The last one

Step-by-step explanation:

Answer:

Ig its 22:3

Step-by-step explanation:

First we add all the gifts and put it in the ratio and the other is 3 dvds

Answer:

Step-by-step explanation:

x(x² + 2x + 4)-2((x² + 2x + 4)

x³+2x²+4x -2x²-4x-8

x³-8

Answer:

C. 1130

BRAINLIEST, PLEASE!

Step-by-step explanation:

1109 + 7 = 1116

1116 + 7 = 1123

1123 + 7 = 1130

The value of the missing number is 1130.

The missing number in the series can be determined by finding the common difference or pattern of the numbers.

let the common difference = d

1109 + 7 = 1116

1116 + 7 = 1123

1123 + 7 = 1130

Thus, the value of the missing number is 1130.

Learn more about missing numbers here: https://brainly.com/question/1241542

Step-by-step explanation:

x = 1/4

4x = 4 * 1/4 = 4/4 = 1.

Answer:

[tex]x = 8[/tex]

Step-by-step explanation:

Recall that horizontal lines have a slope of zero, while vertical lines have an undefined slope.

Therefore, the line must be vertical.

And since it is vertical, we will only need to consider the x-coordinate of our point.

The x-coordinate of (8, -3) is 8.

Hence, the equation of the line that passes through (8, -3) with an undefined slope is:

[tex]x = 8[/tex]

Answer: x= 8

Step-by-step explanation:

It is a vertical line that passes through point 8 on the x axis.

Answer: -5 i guess i might b wrong i dont know -5

Step-by-step explanation:

Answer:

3-a

Step-by-step explanation:

it involves variables like x, y, z

in this case a

Answer:

1008 inches

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

A. 256

Step-by-step explanation:

4×4×4×4=256

I hope this helps!

pls ❤ and mark brainliest pls!

answer : 1024

100% correct ;)

Answer:

[tex]( x + 4 )^2 + ( y - 7 )^2 = 36[/tex]

Step-by-step explanation:

Use the circle equation, [tex]( x - h )^2 + ( y - k )^2 = r^2[/tex]

Plug in the center and radius:

[tex]( x + 4 )^2 + ( y - 7 )^2 = 6^2[/tex]

Simplify:

[tex]( x + 4 )^2 + ( y - 7 )^2 = 36[/tex]

So, the equation is [tex]( x + 4 )^2 + ( y - 7 )^2 = 36[/tex]

Answer:

x = 15

Angle ABC = 57°

Step-by-step explanation:

Hi there!

We're given:

⇒ ABD is a straight line

⇒ Angle ABC = 5x-18 degrees

⇒ Angle DBC = 8x+3 degrees

ABD is a straight line, meaning it measures an angle of 180 degrees.

Angles ABC and DBC create line ABD, so therefore, their sum is equal to 180 degrees:

[tex](5x-18)+(8x+3)=180[/tex]

Open the parentheses:

[tex]5x-18+8x+3=180[/tex]

Combine like terms:

[tex]13x-15=180\\13x=195[/tex]

Divide both sides by 13 to isolate x:

[tex]x=15[/tex]

Therefore, x = 15.

To find angle ABC, replace x with 15 in 5x-18:

[tex]5x-18\\=5(15)-18\\=75-18\\=57[/tex]

Therefore, the measure of angle ABC is 57 degrees.

I hope this helps!

Answer:

187.5

Step-by-step explanation:

6% of 3125 ​

=> 6/100 x 3125

=> 18750/100

=> 187.5

Step-by-step explanation:

[tex]9.62 - 3[/tex]

[tex] = 6.62[/tex]

•♧•♧•♧•♧•♧•♧•

[tex]2.57 + 7.706[/tex]

[tex] = 10.276[/tex]

•◇•◇•◇•◇•◇•◇•

[tex]15 - 6.108[/tex]

[tex] = 9.892[/tex]

Answer:

[tex]12w+24[/tex]

Step-by-step explanation:

[tex]9w−3(−w−8)[/tex]

[tex]9w+(−3)(−w)+(−3)(−8)[/tex]

[tex]9w+3w+24[/tex]

[tex](9w+3w)+(24)[/tex]

[tex]12w+24[/tex]

In the simplest form we can write the expression as - 12(w + 2).

We have the following expression -

9w - 3(- w - 8)

We have to write it in simplest form.

Expanding we get -

Δ = x(x - β) - α(x - β)

Δ = [tex]x^{2}[/tex] - βx - αx + αβ

According to the question, we have -

9w - 3(- w - 8)

Simplifying it, we get -

9w + 3(w + 8)

9w + 3w + 24

12w + 24

12(w + 2)

Hence, in the simplest form we can write the expression as - 12(w + 2).

To solve more questions on Simplifying expressions, visit the link below-

https://brainly.com/question/20456437

#SPJ2

Answer:

(x+x1)(x-x2)

let x1=7 and x2=-4

(x+7)(x-(-4))

(x+7)(x+4)

x^2+4x+7x+28

x^2+11x+28