Carson is hiking a trail that is 12 kilometers long. one-fourth of the way through the course, he stops to rest. how many meter does carson have left to hike on the trail after he rests?​

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:

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:

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:

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:

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:

Its 0.55

Step-by-step explanation:

I just took the test

Answer:

Fraction:

Decimal:

Word Form:

Step-by-step explanation:

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:

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:

25704

Step-by-step explanation:

L×w×h length times width times height

Answer: 64

Step-by-step explanation:

Answer:

the answer is 96 ounces i think

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:

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

Answer:

Howard spent $27.25 for each baseball card.

Step-by-step explanation:

1 dozen = 12

Set up an equation:

327 ÷ 12

27.25

Answer:

27.25

Step-by-step explanation:

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:

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: 27

Step-by-step explanation: hihihihihiiiiihihi

27 is considered an outlier for the data set.

In statistics, a quartile exists as a variety of quantiles which divides the number of data points into four parts, or quarters, of more or less equal size. The data must be ordered from smallest to largest to calculate quartiles; as such, quartiles exist a form of order statistic.

A quartile separates data into three points—a lower quartile, median, and upper quartile—to form four sets of the dataset.

Hence, 27 is considered an outlier for the data set.

To learn more about quartiles refer to:

https://brainly.com/question/9260741

#SPJ2

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:

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

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

Same side interiors(vertical) have sum 180°

From both equations

And

Answer:

16x^4

Step-by-step explanation:

Hi there!  

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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:

$12,5xy

Step-by-step explanation:

y = how much the jobs pays

x = hours of work

[tex]25 \div 2[/tex]

[tex] = 12.5xy[/tex]