Answer
1/3
hope this helps have a nice day:)
Answer:
<h2>
i) Angle AOC is 95° </h2>
Reason:- Angle AOC is equal to Angle DOB since they are Vertically Opposite Angles.
<h2>
ii) Angle BOC is 85°</h2>
Reason:- Angle AOC + Angle BOC - 180° (they lie in a straight line so they are a linear pair. Sum of the angles will be 180°)
Angle AOC is 95°, So:-
95° + Angle BOC = 180°
Angle BOC= 180° - 95°
<h3><u>
Angle BOC = 85°</u></h3>
<u></u>
<h2>
iii) Angle DOE is 17°</h2>
Reason:- Angle AOE+ Angle DOE+ Angle DOB = 180° (they lie in a straight line so they're a linear pair. Sum of the angles will be 180°)
So,
68° + Angle DOE+ 95° = 180°
163° + Angle DOE = 180°
Angle DOE= 180° - 163°
<h3><u>
Angle DOE is 17°</u></h3>
Answer:
- North Middle School = 10 students
- Central Middle School = 6 students
- South Middle School = 4 students
Step-by-step explanation:
First calculate the total number of students in all the schools:
= 618 + 378 + 204
= 1,200 students
Use this number to calculate the proportion of the total population that a school so that this can then be used to determine the proportion of the 20 delegates they should sent.
North Middle school:
= 618/1,200 * 20
= 10 students
Central Middle School:
= 378 / 1,200 * 20
= 6 students
South Middle School:
= 204/1,200 * 20
= 4 students
Answer:
(a)4
Step-by-step explanation:
First you would distribute the 2 within the parentheses and it becomes 14n-46 <= 14-16n. Then you would find the smallest coeficent and do the inverse operation so you would have to add 16n to 14n and get 30n. Your equation is now 30n-46<=14. Now you want to isolate the variable by doing the inverse operation of -46. You would then add 46 to positive 14 and get 60. Your eqaution now is 30n<=60. Your last step is to divide 30 on each side which leaves you with n<=2.
2 is less than or equal to 2
-2 is less than or equal to 2
-4 is less than or equal to 2
4 is NOT less than or equal to 2 it is GREATER
Hopefully, that helps.
Answer:
420
Step-by-step explanation:
