smiley1208 smiley1208
  • 02-07-2021
  • Mathematics
contestada

EH is a diameter of D. The measure of ef is (10x+ 8) and the measure of gh is (11x). Determine the values

Respuesta :

abidemiokin
abidemiokin abidemiokin
  • 02-07-2021

Answer:

x = 5

arcEF = 58degrees

arcGH = 55degrees

Step-by-step explanation:

Find the diagram attached

The sum of angle on the straight line EH is 180degrees

Hence arcEF+ arcFG + arcGH = 180

10x+8 + 67 + 11x = 180

21x + 75 = 180

21x = 180 - 75

21x = 105

x = 105/21

x = 5

Since EF = 10x+8

arcEF = 10(5) + 8

arcEF = 50+8

arcEF = 58degrees

Also, arcGH = 11x

arcGH = 11(5)

arcGH = 55degrees

Ver imagen abidemiokin
Answer Link

Otras preguntas

Why did immigrants tend to group together in cities?
What are the positive and negative aspects of a zoo or safari park?
What's the value of pi?
Indicate which pattern of evolution is shown by the many species of finches on the Galápagos Islands.
Find the distance between two parallel lines: x = 11 and x = 5.
Michelle has $12.30 in her purse in 1 cent 5 cent and 25 cent coins. if she has an equal number of each coin type how many coins does Michelle have in her purse
How did professors feelings about black well as a student change over time?
What events began and ended athens' golden age??
Which decimal is equivalent to 3/8?
What are the positive and negative aspects of a zoo or safari park?