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

The specific heat of a certain type of metal is 0.128 j/(g·°c). what is the final temperature if 305 j of heat is added to 26.5 g of this metal initially at 2
A scientist studied four pieces of fossil evidence that show the evolution of the modern-day man. These date back to 2 million years, 1 million years, 0.5 milli
The authority to control local issues within a larger government structure is called
What was the Dust Bowl, and when did it occur?
what is the name of the geologic process that formed the grand canyon
A bicyclist was traveling from the village to the railroad station with a speed of 15 mph and he was coming back to the village with a speed of 10 mph. Find the
4. What is Lincoln defending in the Gettysburg address speech?
What happens during meiosis that would allow genes located on the same chromosomes to separate independently of one another?
How would you solve this?
how did the role of colonialism in spreading christianity around the world