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

The circumference of a globe is 16pi inches. what is the volume of the globe? show your work. use 3.14 for pi ​
Tell us this if you have a job or allowance how much do you take home per week? need help!
The figure below shows a sphere with its center at O. The points A, B, C, and D are on the surface of the sphere. How many tangents to the sphere have been sh
Which of the following sentences uses an interjection correctly? Group of answer choices That tower of cans is about to fall, Oh my goodness! That tower of cans
Is 13 colleges too many to apply to?
What does renaissance mean? Why is it used to describe this period?
∠1 and ∠2 are linear pair. If m∠1 = 3x + 4 and m∠2 = 2x – 9, find x.
Write an equation of the line in Slope-int form y= 1 /2x+1
if X varies inversely as the cube root of y and X=1 when y=8. find y when X =3​
Riddle: How many words are in a Dictionary?