Answer:
See explanation
Step-by-step explanation:
1. Angles AOM and MOC are supplementry angles. If m∠MOC = 135°, then
m∠AOM = 180° - 135° = 45°
2. OM − angle bisector of ∠AOB, then
m∠AOM = m∠MOB = 45°
3. Now
m∠BOC = m∠MOC - m∠MOB
m∠BOC = 135° - 45° = 90°
4. Since m∠BOC = 90°, BO is perpendicular to AC.
5. Consider isosceles triangle ABC (because AB ≅ BC). BO is the height drawn to the base, so it is an angle B bisector too, thus
∠ABO ≅ ∠CBO
Answer:
(a) The sum of the previous term and 9
(b) 36, 45, 54
Step-by-step explanation:
Given
Sequence: Arithmetic Progression

Solving (a): Describe the relationship in each term
First, we calculate the common difference (d)
In arithmetic progression:

Take n as 2


Where



<em>The relationship is: The sum of the previous term and 9</em>
Solving (b): The next three terms
As said in (a) each term is derived from a sum of 9 and the previous term
So, we have:



Hence, the next three terms are: 36, 45 and 54
Answer:
x > −3
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
Step 2: Subtract 3 from both sides.
Step 3: Divide both sides by -3.
The slope is -2. this is because if you look at the graph it goes down 2 units and it goes right to the once so it’ll be -2/1 which equals -2.
3c + b.....when c = -7 and b = 4
3(-7) + 4 =
-21 + 4 =
- 17 <===