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

What three islands are located off the East African coast
Can u paraphrase the quote ”let things take their course”
Trying to translate word problems. Five times the sum of 3 and twice some number is 70. what is the number?
Solving systems by elimination: 2x + 4y = -4 3x + 5y = -3 Please show me your work so I can do the rest myself. Thanks!
How does transpiration play a  role in the water cycle ?
What are two different ways to describe and label the layers of the Earth?
What is a direct combination reaction?
Was the Gold Rush a good or bad thing for the United States?
in an expression(8/9) squared (-81)+3/5dividedby-9/10
A pound of seedless red grapes costs $2.75. Drew must spend less than $9.35 on a bunch of seedless red grapes.Inequality:Solution:Interpretation: