aashishsha5949
aashishsha5949 aashishsha5949
  • 11-08-2021
  • Mathematics
contestada

IF D and G are the number of degrees and grades of the same angle, prove that G/10=D/9.
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Respuesta :

jimrgrant1 jimrgrant1
  • 11-08-2021

Answer:

see explanation

Step-by-step explanation:

The relationship between D and G is

90D = 100G

that is there are 100 grades in 90°

Given any angle in degrees (D)

Divide by 90 to find how many right angles

Then multiply by 100 to convert to grades , so

G = [tex]\frac{D}{90}[/tex] × 100 = [tex]\frac{10}{9}[/tex] D ( multiply both sides by 9 to clear the fraction )

9G = 10D ( divide both sides by 10 )

[tex]\frac{9G}{10}[/tex] = D ( divide both sides by 9 )

[tex]\frac{G}{10}[/tex] = [tex]\frac{D}{9}[/tex]

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