Answer:
The angles m∠Q and m∠S together equal 90°
Step-by-step explanation:
A right angle measures 90°.
The total measure of angles in a triangle sums to 180°.
This gives us:
m∠Q + m∠S + ∠R = 180°
m∠Q + m∠S + 90° = 180°
Rearranging yields:
m∠Q + m∠S = 180° - 90°
m∠Q + m∠S = 90°
The slope equals $0.10 (since $1.00 per 10 tokens translates to $0.10 per token)
The y-intercept is $60 (the fixed yearly membership fee)
The linear equation is y = 0.10x + 60 (following y = mx + b)
The domain consists of all x values where x ≥ 0 (negative token quantities are impossible)
The range includes all y values with y ≥ 60 (plugging the domain values into the function)
The y-intercept of this function stands at $60
Answer:
The remaining area available for construction is 
Step-by-step analysis:
The inquiry in English reads
The total area of a property, measured in square meters, amounts to 704/5. A house is constructed occupying 5/6 of this area. Half of the leftover space is utilized for a terrace; thus, how much area remains for additional construction?
We know that
The total area is represented by the fraction 6/6
A house accounts for 5/6 of the entire area
Thus, the remaining area is (6/6)-(5/6)=1/6 of the overall area
If half of this leftover area is designated for a terrace
then
the terrace occupies (1/6)/2=1/12 of the total area
consequently,
The area remaining for construction is 1/12 of the total area
therefore

Answer:
$12.18
Step-by-step explanation:
Provided:
The price of a 0.8 liter bottle of Mexican wine amounts to 101 pesos.
Consequently,
The price for 1 liter of Mexican wine can be determined as
pesos.
Additionally,
Converting, 1 Mexican peso equates to 0.051 dollars.
As a result, the equivalent cost of 1 liter of Mexican wine is
dollars.
Moreover,
Knowing that 1 gallon equals 3.78541 liters;
Thus, half a gallon equals
= 1.892705 liters.
Therefore, the cost for a half-gallon jug would be
dollars.
In conclusion, the price for a half-gallon of this wine is $12.18.
Detailed explanation:
Thus,
100% plus 8% equals 108%
108% equals 1215
1% corresponds to 11.25
Therefore, 100% amounts to 1125 rs