HELP ME !!!
Point M is the midpoint of AB. AM = 3x +3, and AB = 82
What is the length of AM?
Enter your answer in the box.

units

Answer: A. 32

Concept:

Here, we need to know the idea of the intersecting chord theorem and segment addition postulate.

The intersecting chord theorem states that when two chords intersect at a point, P, the product of their respective partial segments is equal.

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, please refer to the attachment below for a graphical explanation.

Solve:

Given information

CW = 12

TW = 14

VW = 2x + 5

UW = 2x + 2

Given expression deducted from intersecting chord theorem

CW · VW = TW · UW

Substitute values into the expression

(12) · (2x + 5) = (14) · (2x + 2)

Expand parentheses and apply the distributive property

24x + 60 = 28x + 28

Subtract 14x on both sides

24x + 60 - 24x = 28x + 28 - 24x

60 = 4x + 28

Subtract 28 on both sides

60 - 28 = 4x + 28 - 28

32 = 4x

Divide 4 on both sides

32 / 4 = 4x / 4

x = 8

Given expression deducted from the segment addition postulate

UT = UW + TW

Substitute values into the expression

UT = 2x + 2 + 14

Substitute x value into the expression

UT = 2 (8) + 2 + 14

UT = 16 + 2 + 14

Combine like terms

UT = 32

Hope this helps!! :)

Please let me know if you have any questions

Answer:

25704

Step-by-step explanation:

L×w×h length times width times height

Answer:

The choose 25/32

Step-by-step explanation:

[tex] \frac{ \frac{5}{8} }{ \frac{4}{5} } = \frac{5}{8} \times \frac{5}{4} = \frac{25}{32} [/tex]

I hope I helped you^_^

Answer:

A. [tex] \frac{25}{32} [/tex] (first option)

Step-by-step explanation:

[tex] \frac{ \frac{5}{8} }{ \frac{4}{5} } = \frac{5}{8} \div \frac{4}{5} [/tex]

[tex] \frac{5}{8} \times \frac{5}{4} = \frac{5 \times 5}{8 \times 4} [/tex]

[tex] = \frac{25}{32} [/tex] ✅

Answer:

eight hundred and ninety nine

Answer:

eight hundred and ninety nine

Step-by-step explanation:

Answer:

7w+2=3w+94

Subtract 3w from both sides.

7w+2−3w=94

Combine 7w and −3w to get 4w.

4w+2=94

Subtract 2 from both sides.

4w=94−2

Subtract 2 from 94 to get 92.

4w=92

Divide both sides by 4.

w=492

Divide 92 by 4 to get 23.

w=23

Answer:

23

Step-by-step explanation:

7w + 2 = 3w + 94                      Subtract 2 from both sides

7w = 3w + 94 - 2

7w = 3w + 92                             Subtract 3w from both sides

4w = 92                                      Divide by 4

w = 92/4

w = 23

Answer:

Its 0.55

Step-by-step explanation:

I just took the test

Answer:

The values of the 4s in 244 is, 4 and 40

Explanation:

A place value  is used to understand the value of each digit based on the place or position.

Given number is 244.

Since, there are 2 fours in 244 ;

The last digit i.e, 4 on the right is in the ones' place with value= 4, and

Answer:

The values of the 4s in 244 is, 4 and 40

Explanation:

A place value  is used to understand the value of each digit based on the place or position.

Given number is 244.

Since, there are 2 fours in 244 ;

The last digit i.e, 4 on the right is in the ones' place with value= 4, and

Value of a number in the tens' place is ten times the value of the same number in the one's place.

then, the second one at ten's place with value,= 40.

Step-by-step explanation:

Answer:

Step-by-step explanation:

As it is bad written, i suppose it is

[tex]\dfrac{81^x}{9^{5x-8}} =9^{f(x)}\\\\9^{2x-(5x-8)}=9^{f(x)}\\\\2x-5x+8=f(x)\\\\\\\boxed{f(x)= -3x+8}\\[/tex]

Answer:

A. {x| x ≥ 10}

Step-by-step explanation:

in x-axis, the graph starts from 10 toward right.

it means x ≥ 10

Answer:

8

Step-by-step explanation:

0-(-8) = 8 ///////////

Answer:

8

Step-by-step explanation:

Let the number be x.

Then,

- 8 + x = 0

=> x = 0 + 8

=> x = 8

Answer:

<DBC = 45

Step-by-step explanation:

The two angles add to 180

<ABC + <DBC = 180

135+ <DBC = 180

< DBC = 180-135

<DBC = 45

Answer:

i don't know 56,78,95

Step-by-step explanation:

Answer:

16x^4

Step-by-step explanation:

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[see below]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Simplifying the Expression:}}\\\\(2x)^4\\----------------\\\rightarrow (2x)^4 \text{ is 2x multiplied 4 times.}\\\\\rightarrow (2x)^4 = \boxed{2x * 2x * 2x * 2x}\\\\\rightarrow 2x * 2x * 2x * 2x = \boxed{16*x^4}\\\\\rightarrow 16*x^4 = \boxed{16 * x * x * x * x}\\\\\text{The boxed answers with exception to the second one could be possible answers.}[/tex]

»»————-　★　————-««

⸻⸻⸻⸻

Hope this helps you. I apologize if it’s incorrect.  

Answer:

1_+6''?(oytvbjkufx,hjf7(-&&&

Answer:

54489jf is a great resource for the following in exponential form and the following in exponential form is a great place to work for

Answer:

The answer is -9.2

Step-by-step explanation: You write 10x -24 = -116 and solve for x. Solving for x means to isolate the x.

1st step is to get rid of -24 by +24 on both sides of the equation:

       10x- 24 =  -116

             +24      +24

         Now equation is 10x = -92

2nd step is get rid of 10 by dividing the 10 on both sides of equation:

         10x = -92

        10       10

Leaving you with final solution of x= -9.2

Same side interiors(vertical) have sum 180°

From both equations

And

Answer:

2, 5, or 8

Step-by-step explanation:

ccalculator go brr

Answer:

617829/3=205,943

617859/3=205,953

617889/3=205,963

Step-by-step explanation:

617819/3=​205,939.666

617829/3=205,943

617839/3=205,946.333

617849/3=205,949.666

617859/3=205,953

617869/3=205,956.333

617879/3=205,959.666

617889/3=205,963

617899/3=205,966.333

Answer: g(x) = (x+1)-3

Step-by-step explanation: Assuming you are moving from expression f to expression g, the plus one in the equation moves the vertex to the right one. subtracting three outside of the parenthesis moves the vertex down three, giving you a vertex of (1,-3). hope this helps!

Answer:

the answer is 96 ounces i think

You can compute the slope given that you have two points [tex](-6,8)[/tex] and [tex](5,3)[/tex].

[tex]m=\frac{3-8}{5-(-6)}=\frac{-5}{11}=-\frac{5}{11}[/tex]

Your function has a form of,

[tex]f(x)=mx+n[/tex]

So we also need to find n. To do that, substitute y and x for some point we already know, I will pick point [tex](5,3)[/tex] then solve for n,

[tex]3=-\frac{5}{11}\cdot5+n[/tex]

[tex]n=3+\frac{5}{11}\cdot5[/tex]

[tex]n=3+\frac{25}{11}[/tex]

[tex]n=\frac{33+25}{11}=\frac{58}{11}[/tex]

So the function is,

[tex]f(x)=-\frac{5}{11}x+\frac{58}{11}[/tex]

Hope this helps :)

Answer:

25 is the answer because the numbers are in the relation of (×2+1). 5×2+1=11 7×2+1=15 9×2+1=19 12×2+1=25.

Answer:

breadth = 5 cm

Step-by-step explanation:

Area of a rectangle = length × breadth

breadth = Area of a rectangle / length

breadth = 45 cm²/ 9cm

breadth = 5 cm

Answer:

The final cost of Amelia's clothes will be $79.98 without sales tax and $85.78 with sales tax.

Step-by-step explanation:

To find the final cost of Amelia's clothes without sales tax, start by writing an equation for the problem, and the equation will look like                                   $[tex]32.00+2([/tex]$[tex]23.99)=x[/tex]. Next, simplify the equation, which will look like             $[tex]32.00+[/tex]$[tex]47.98=x[/tex]. Then, solve the equation, which will look like $[tex]79.98=x[/tex]. The final cost of Amelia's clothes without sales tax will be $79.98.

To find the final cost of Amelia's clothes with sales tax, start by writing another equation for the problem, and this equation will look like                     $[tex]32.00+2([/tex]$[tex]23.99)+[/tex]$[tex]5.80=x[/tex]. Next, simplify the equation, which will look like  $[tex]32.00+[/tex]$[tex]47.98+[/tex]$[tex]5.80=x[/tex]. Then, solve the equation, which will look like           $[tex]85.78=x[/tex]. The final cost of Amelia's clothes with sales tax will be $85.78.

Answer:

Fraction:

Decimal:

Word Form:

Step-by-step explanation:

The answer is 64.5 in2