The Given Triangle PMO is a Right Angled Triangle with m∠M = 90°
Given m∠P = 40°
We know that : Sum of Angles in a Triangle = 180°
⇒ m∠P + m∠M + m∠O = 180°
⇒ 40° + 90° + m∠O = 180°
⇒ 130° + m∠O = 180°
⇒ m∠O = 180° - 130°
⇒ m∠O = 50°
We can notice that m∠O and m∠1 form a Linear Pair (180°)
⇒ m∠O + m∠1 = 180°
⇒ 50° + m∠1 = 180°
⇒ m∠1 = 180° - 50°
⇒ m∠1 = 130°
Last Option is the Answer
Answer:
The Company AB must sell 116 computers to break even
Step-by-step explanation:
we have
-----> equation A
----> equation B
where
C is the cost function
R is the revenue function
x is the number of computers sold
we know that
Break even is when the cost is equal to the revenue
so
equate equation A and equation B

Solve for x
subtract 1/4x both sides



Divide by 1.25 both sides

therefore
The Company AB must sell 116 computers to break even
Answer:
Cara:108
Step-by-step explanation:
John: x number of cards
Cara: 12 times x number of cards(she has 12 times more cards than John)
Cara+John=117 cards

Cara has 12×9 cards, so she has 108 cards.
Hope this was helpful :)
A. -(a+5)
Because the negative sign is outside the parenthesis, multiplying by -1 just removes the negative sign:
-(a+5) * -1 = a+5
B. -(-x+31)
Apply the distributive property:
-(-x+31) becomes (- -x +31) which simplifies to (x+31)
multiply that by -1 to get -x+31
C. -(4x+12)
Because the negative sign is outside the parenthesis, multiplying by -1 just removes the negative sign:
-(4x+12) * -1 = 4x+12