Answer:
<h3>i) Angle AOC is 95°
</h3><h3>Reason:- Angle AOC is equal to Angle DOB since they are Vertically Opposite Angles.
</h3>
<h3>
ii) Angle BOC is 85°
</h3><h3>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°)
</h3><h3>
Angle AOC is 95°, So:-
</h3><h3>
95° + Angle BOC = 180°
</h3><h3>
Angle BOC= 180° - 95°
</h3><h3>
Angle BOC = 85°
</h3><h3>
</h3><h3>iii) Angle DOE is 17°
</h3><h3>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°)
</h3><h3>
So,
</h3><h3>
68° + Angle DOE+ 95° = 180°
</h3><h3>
163° + Angle DOE = 180°
</h3><h3>
Angle DOE= 180° - 163°
</h3><h3>
Angle DOE is 17°</h3>
Given:
15 students
average grade: 80 for 14 students
average grade: 81 for 15 students
80 * 14 = 1120
81 * 15 = 1215
1215 - 1120 = 95
Payton's score on the test is 95.
Answer: 10.54
Step-by-step explanation:
Multiply 10 by 100 and add 54
Answer:
39.5
Step-by-step explanation:
In the attached file
Answer:
The solution of the system can be given as (5,-8).
Step-by-step explanation:
Given system of equations:
To solve the given system of equations:
Solution:
We will use substitution to solve the given system.
We will substitute the 
values in terms of 
from the equation into the other equation to solve for
Substituting into .
We have:
<em>Using distribution.</em>
<em>Combining like terms.</em>
Adding 6 both sides.
Dividing both sides by 3.
∴ 
<em>Plugging in into .</em>
We have,
∴ 
The solution of the system can be given as (5,-8).
