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>
Answer:
As the number is a prime number. Therefore, option 'c' is true.
Step-by-step explanation:
Let us take the number 7 and divide it by 4
We know that
as
so the remainder is 3. ∵ 
As 7 is a prime number, and when we divide the prime number 7 by 4, we get the remainder 3.
Thus, the number is a prime number. Therefore, option 'c' is true.
The line plot shows it increases
Answer:
x < 33.84
Step-by-step explanation:
we have
13.48x-200 < 256.12
Solve for x
Adds 200 both sides
13.48x-200 +200 < 256.12+200
13.48x < 456.12
Divide by 13.48 both sides
13.48x/13.48 < 456.12/13.48
x < 33.84
The solution is the interval ----> (-∞, 33.84)
All real numbers less than 33.84
Answer:
B. subtract
Step-by-step explanation:
Subtracting is the opposite of adding which is what is originally in the equation, by subtracting you are canceling out the 14 1/6
