A man (M) is standing halfway between a tree (T) and a lamppost (L). What is the value of x?
T
M
L
(2x + 8) m
(3x – 2) m
I don't understand what I have to do and how to get the answer is there anyway someone can tell me???

Answers

Answer 1

Answer :

The value of x is 10.

Explanation :

Given that,

TM = (2x+8) m

ML = (3x-2) m

If a man (M) is standing halfway between a tree (T) and a lamppost (L).

The half distance is TM and half distance is TL.

So, Both half distance will be equal.

We need to calculate the value of x

Using given data

[tex]TM=ML[/tex]

Put the value into the formula

[tex]2x+8=3x-2[/tex]

[tex]2x-3x=-8-2[/tex]

[tex]-x=-10[/tex]

[tex]x=10[/tex]

Hence, The value of x is 10.


Related Questions

If you studied “the world in spatial terms” as a geographer, what would you most likely focus on?
A.what natural environment are in an area
B.which culture and traditions are common
C.what to plan for the future
D.where things are located in relation to one another​

Answers

Answer:

A.)  What natural environments are in an area

Step-by-step explanation:

order the following from least to greatest PLZ I NEED HELP!!!!

Answers

Answer:

½, √0.28, 0.58

Step-by-step explanation:

you need to first change everything into decimals so, ½ = 0.5 , √ 0.28 = 0.53 and 0.58 remains the same. Now you can arrange them from least to greatest once they are in a common form.

how do I simplify the expression

-(10)-2​

Answers

Answer:

First distribute the negative -(10)

it becomes a -10

them add the -10 and -2

and the answer in - 12 because a negative plus a negative equals a negative

Does anyone know how to do this?

Answers

to find the midpoint of a line segment
Add both "x" coordinates, divide by 2.
Add both "y" coordinates, divide by 2.

Using this system of linear equations: show all of the steps to solve using substitution.

Answers

Answer:

(1,5)

Step-by-step explanation:

y=3x+2

x+2y = 11

Substitute the whole value of y to the second equation:

x+ 2 (3x +2)=11

Distribute 2

x+6x+4=11

Combine like terms:

7x=7

x=1

Plug in the x value to any equation:

y=3(1)+2

y=3+2

y=5

If SLDG is an isosceles trapezoid, what is the value of x?
SD-x5
LG - 5x+21
O A. 26
O B. 23
O C. 13
O D. 18
O E. 24,5
O E Cannot be determined

Answers

Answer:

13

Step-by-step explanation:

Applying the definition of the diagonals of an isosceles trapezoid, the value of x is: C. 13.

What is an Isosceles Trapezoid?

An isosceles trapezoid has two congruent legs and two diagonals that are congruent.

Given:

SD = 8x - 5LG = 6x + 21

Thus:

SD = LG

Substitute

8x - 5 = 6x + 21

Combine like terms and find x

8x - 6x = 5 + 21

2x = 26

x = 26/2

x = 13

Thus, applying the definition of the diagonals of an isosceles trapezoid, the value of x is: C. 13.

Learn more about isosceles trapezoid on:

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{(1, 3), (2,5), (-3, -4), (4, -3) (5,-1)} the above is
a function or not a function

Answers

the answer is it is function

Two fifteenths times 10

Answers

Answer:

1.3

Step-by-step explanation:

Calculate the sum and enter it, as a fraction in lowest terms, using the
slash (/) for the fraction bar. 4/15 + 7/9

Answers

Answer:

47/45 or 1 and 2/45

Step-by-step explanation:

47/45 or 1 2/45

4/15 +7/9

× 3/3. × 5/5

12/45 + 35/45

47/45


Which point represents the vertex of the marked angle?
Α. Α
B. E
C.C
D.B

Answers

Answer:

B. E

Step-by-step explanation:

The vertex is the middle of the angle.

I hope this helped!

It is angle E the one in the middle

Evaluate R - Y for R = -2 and Y= -7

Answers

Answer:

5

Step-by-step explanation:

Replace variables with integers

(-2) - (-7)

Solve.

-2 - (-7) --> -2 + 7 --> 5

WILL MARK YOU BRAINLIEST

Answers

Answer:

(-4, -0.5)

Step-by-step explanation:

According to the graph ,

[tex](-5 , -4) =(x_1,y_1)\\(-3 , 3)=(x_2,y_2)[/tex]

Sorry for the bad handwriting

Workings are in the picture

4. Compare/contrast the data sets below. Which data set has a range of 9, a mean of
15, a median of 14, and a mode of 11? How do you know (show work)? Why do the
other choices fail to meet the criteria? State one reason why each of the other
choices fail.
A. 11, 11, 13, 15, 20
B. 5, 11, 14, 14, 31
C. 11, 11, 14, 19, 20
D. 6, 10, 14, 15, 15

Answers

Let's first find the mode of each data set.

Mode = the largest value - the smallest value.

A. 20 - 11 = 9

B. 31 - 5 = 26

C. 20 - 11 = 9

D. 15 - 6 = 9

B fails because its mode does not equal 9.

Let's find the mean of A, C, and D

The mean = the sum of all data values divided by the number of data values.

A. (11 + 11 + 13 + 15 + 20) / 5 = 14.2

C. (11 + 11 + 14 + 19 + 20) / 5 = 15

D. (6 + 10 + 14 + 15 + 15) / 5 = 12

Options A and D fail because their mean does not equal 15.

Let's find the median and mode of option C

Median = the value which falls into the middle of our data set

11, 11, 14, 19, 20 = 14

Mode = the value which appears most often

In option C, 11 appears twice and every other number appears once, therefore, 11 is the mode.

What’s 6 (3x + 5) please

Answers

6(3x+5)

6*3x=18x

6*5=30

18x+30 is your answer! I hope this helped! :)

17. A man can row at 8 km/hr in still water. If the
river is running at 2 km/hr, it takes him 48
minutes to row to a place and coming back. How
far is the place ?
(a) 1 km
(b) 2 km en
(c) 3 km
(d) 4 km

Answers

Answer:

(c) 3 km

Step-by-step explanation:

Speed in still water: 8 km/h

Speed of river: 2 km/h

Speed downstream: 8 km/h + 2 km/y = 10 km/h

Speed upstream: 8 km/h - 2 km/h = 6 km/h

total time both ways: 48 minutes = 48/60 hour = 0.8 hour

time to go upstream: t

time to go downstream: 0.8 - t

speed = distance/time

s = d/t

d = st

Upstream:

d =  st

d = 6t

Downstream:

d = st

d = 10(0.8 - t)

The distance upstream and downstream is the same.

6t = 10(0.8 - t)

6t = 8 - 10t

16t = 8

t = 0.5

d = 6t = 6(0.5)

d = 3

Answer: (c) 3 km

3.409 x 10^-3 In scientific notation.

Answers

Answer:

Since the exponent of the scientific notation is negative, move the decimal point 3 places to the left.

0.003409

Your cell phone plan costs ​$29.99 per month plus ​$0.17 for each text message you send or receive. You have at most ​$34 to spend on your cell phone bill. What is the maximum number of text messages that you can send or receive next​ month? (with step by step solution).

Answers

Answer:34.00-29.99=4.01. 4.01÷0.17=

Step-by-step explanation:

AC
B is between the points A and C on
Write an equation using the information in
terms of x. Find x, AB, and BC.
AB = 8x + 5
BC = 5x - 9
AC = 74

Answers

X is 6
AB is 53
BC is 21

The equation is given as: 13x - 4 - 74 = 0

The value of x is 6

AB = 53

BC = 21

Given,

B is between points A and C on AC.

AB = 8x + 5

BC = 5x - 9

AC = 74

We need to write an equation using the information in terms of x
We also need to find x, AB, and BC.

What does it mean to have a point between two points of a line?

If there is a point between two points of a line, the sum of the two lines separated by the point is equal to the line given.

Example:

M______N____________O

Then,

MN + NC = MO

Find the equation that represents AC with point B between A and C.

We have,

A______B___________C

AB = 8x + 5

BC = 5x - 9

AC = 74

Now,

AC = AB + BC

74 = 8x + 5 + 5x - 9

74 = 13x - 4

13x - 4 - 74 = 0

Find x.

74 + 4 = 13x

78 = 13x

x = 78 / 13

x = 6

Find AB

AB = 8x + 5  

= 8x6 + 5

= 48 + 5

= 53

Find BC

BC = 5x - 9

= 5x6 - 9

= 30 - 9

= 21

Thus,

The equation is given as: 13x - 4 - 74 = 0

The value of x is 6

AB = 53

BC = 21

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At the aquarium there are 840 sharks and 630 lion fish, for a total of 1470 fish all together. What is the ratio of fish to sharks?

(Reduce your ratio to lowest terms, for example reduce 15:6 to 5:2

Answers

Answer:

7:4

Step-by-step explanation:

The number of sharks at the aquarium is 840

The number of lion fish is 630

The total number of fish is 1470

Therefore the ratio of fish to sharks can be calculated as follows

= 1470/840

= 7:4

Hence the ratio of fish to sharks is 7:4

4. Error Analysis Jacinta says that the product of a rational number and an irrational number is always irrational. Explain her error.​

Answers

Answer:

She did not consider the multiplicative inverse property of a real number

Step-by-step explanation:

Jacinta in her conclusion did not consider the Multiplicative Inverse property of real numbers.

Let x be an irrational number.

So, [tex]$ x.\frac{1}{x}= 1$[/tex]

If x is an irrational number, then its reverse is also an irrational number. So by the Multiplicative Inverse property their product is 1 and 1 is a rational number. Thus, Jacinta was incorrect.

How do you find MAD​

Answers

To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean: |data value – mean

Answer:

To find the mean absolute deviation of the data, start by finding the mean of the data set

I don’t understand this please help

Answers

Answer:

3rd option

Step-by-step explanation:

-8 ≥ -5x + 2 > -38 subtract 2 from all three expressions

-10 ≥ -5x > -40 divide by 5

-2 ≥ -x > -8 now multiply by -1

2 ≤ x < 8

he Moore family is selecting a furniture set. A furniture set has a bed, a desk and a dresser. There are beds, desk, and dressers to select from. How many different furniture sets could they select?

Answers

the answer would be 8 i believe

La suma de dos numeros es 208 y su diferencia es 122¿cuales son los numeros?

Answers

Answer:

Los números son:

43 y 165

Step-by-step explanation:

Planteamiento:

a + b = 208

a - b = 122

Desarrollo:

de la segunda ecuación del planteamiento:

a = 122 + b

sustituyendo este último valor en la primer ecuación del planteamiento:

(122+b) + b = 208

2b = 208 - 122

2b = 86

b = 86/2

b = 43

a = 122 + b

a = 122 + 43

a = 165

Comprobación:

165 + 43 = 208

165 - 43 = 122

Convert 6 7/20
into a decimal

Answers

Answer:

6.35

Explanation:

7 divided by 20 is 0.35+6= 6.35

YALL. I NEED HELP FOR SCIENCE

Answers

Answer:

i got dis the answer is 13

Step-by-step explanation:

so its going 31 to the right minus 8 so 23 to the right. for it to get to be 10 it would be 13

Hillary’s summer job at the frozen yogurt shop paid her the amounts shown in the table below in her first three days on the job (she got paid the same hourly rate every day).

Answers

Answer:

P=9.0h

Step-by-step explanation:

Divide the Paid amount by the hours worked and you'll get how much money she gained every hour which is 8.50$ And the question is telling you which of the following equations is GREATER than the amount she got paid per hour. So the answer would be P=9.0h

The required equation represents an hourly pay rate that is greater than Hillary's hourly pay rate p = 9.0h. Option D is correct.

Given,

Hillary’s summer job at the frozen yogurt shop paid her the amounts shown in the table below in her first three days on the job (she got paid the same hourly rate every day).
                    day  =       1            2        3
Hours worked(h) =       5           4        6
Amount paid (p)  =   $42.50   $34     $51

What is the slope of the line?

The slope of the line is the tangent angle made by line with horizontal. i.e. m = tanx where x in degrees.


The slope of the data given,
m = 42.5/5

m = 8.5
the slope shows the hourly rate to get paid.
Required expression is
p = 8.5h

From the option, the slope of equations needs to compare greater the slope greater will the hourly rate.
Slope of equation A = 1/8, B =8, C = 8.5 and D = 9.0
hence, only slope D has a greater value by the existing slope of 8.5

Thus, the required equation that represents an hourly pay rate that is greater than Hillary's hourly pay rate p = 9.0h.

Learn more about slopes here:
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Question is incomplete, correct question has added below.

2x+8 + 3x+6 = 7x i need help fast

Answers

Answer:

x=7 Hope this helps :)

Step-by-step explanation:

Let's solve your equation step-by-step.

2x+8+3x+6=7x

Step 1: Simplify both sides of the equation.

2x+8+3x+6=7x

(2x+3x)+(8+6)=7x(Combine Like Terms)

5x+14=7x

5x+14=7x

Step 2: Subtract 7x from both sides.

5x+14−7x=7x−7x

−2x+14=0

Step 3: Subtract 14 from both sides.

−2x+14−14=0−14

−2x=−14

Step 4: Divide both sides by -2.

−2x

−2

=

−14

−2

x=7

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 7}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{2x + 8 + 3x + 6 = 7x}[/tex]

Add the like terms : 2x and 6

[tex] \dashrightarrow{ \sf{5x + 8 + 6 = 7x}}[/tex]

Add the numbers : 8 and 6

[tex] \dashrightarrow{ \sf{5x + 14 = 7x}}[/tex]

Move 7x to left hand side and change it's sign

Similarly, move 14 to right hand side and change it's sign

[tex] \dashrightarrow{ \sf{5x - 7x = -14}}[/tex]

Subtract 7x from 5x

[tex] \dashrightarrow{ \sf{ - 2x = - 14}}[/tex]

Divide both sides by -2

[tex] \dashrightarrow{ \sf{ \frac{ - 2x}{ - 2} = \frac{-14}{ - 2}}} [/tex]

Calculate

[tex] \dashrightarrow{ \boxed{ \sf{x = 7}}}[/tex]

Hope I helped!

Best regards! :D

If g(x) = x2 + 12, what does f(8) equal?
48
76
66
28
Asap pls

Answers

76 just multiply 8 x 12

find de equation of a line with slope 2y + x =6 and passing through the point (-2,3)​

Answers

Answer:

[tex]y = mx + b[/tex]

[tex]y = 3x - \frac{1}{2} x {}^{2} + 11[/tex]

PLEASE MARK AS BRAINLIEST

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