iixalya2000
iixalya2000 iixalya2000
  • 02-02-2022
  • Mathematics
contestada

In the figure below, N lies between M and P.

Find the location of N so that the ratio of MN to NP is 4 to 5 .

In the figure below N lies between M and PFind the location of N so that the ratio of MN to NP is 4 to 5 class=

Respuesta :

hnori22003
hnori22003 hnori22003
  • 02-02-2022

[tex] \frac{MN}{NP} = \frac{4}{5} \\ [/tex]

[tex]MP = 26 - 8[/tex]

[tex]MP = 18[/tex]

[tex]MP \div (4 + 5) = 18 \div (4 + 5)[/tex]

[tex] \frac{MP}{9} = \frac{18}{9} \\ [/tex]

[tex] \frac{MP}{9} = 2 \\ [/tex]

Thus;

[tex]MN = 2 \times 4[/tex]

[tex]MN = 8[/tex]

and

[tex]NP = 2 \times 5[/tex]

[tex]NP = 10[/tex]

So the location of N is :

[tex]N = 8 + 8 \: \: or \: \: N = 26 - 10[/tex]

[tex]N = 16[/tex]

Answer Link

Otras preguntas

Which group of words is a sentence fragment? A. Wolves are wild animals. B. Wolves and dogs are close relatives. C. A wolf can run up to 40 miles a day. D. As a
36.8% of what number is 28.52
Why was the road to democracy more difficult for France then for England?
Please help and explain how to do it
The Layout button is located in the ____ group on the HOME tab. Choose one answer. a. Slides b. Drawing c. Paragraph d. Font
which synonym of the word look would be most effective in the following sentence
1/2r + 2(3/4r - 1) = 1/4r + 6
6. Which choice shows the proper way to use a colon? Warnings are written: on the following labels medicines, cleaning products, and some foods. Warning: If tak
____ energy gets converted to ____ energy through photosynthesis. A.Radiant; chemical B.Chemical; radiant C.Radiant; mechanical D.Ch
the screen on brianna new phone is 2.85 centimeters long. what mixed number represents the length ofbthe phone screen