Answer:
11°
Step-by-step explanation:
Here in the figure , angle(BAC) = angle(QSR) = 45°
also, angle(ABC) = angle(SQR) = 80°.
In triangle SQR,
angle(QSR) + angle(SQR) + angle(SRQ) = 180°
=> angle(SRQ) = 180 - ( 45 + 80 )
= 180 - 125
= 55°
But angle(SRQ) = 5x ( its given in question )
So,
5x = 55°
=> x = 11°
The Average Rate of Change<span> function describes the average rate at which one quanity is changing with respect to something else changing.
</span><span> For this case, the first thing you should do is observe the intervals for which the function decreases.
Remember that the definition of average rate of change is given by:
</span>
<span> For AVR to be negative, it must necessarily pass:
</span>
<span>
The interval that meets both conditions is:
x = 0 to x = 2.5
Answer: x = 0 to x = 2.5 option 3</span>
Answer:
1. -4x < 8
2. 4x < 8
3. When something is done to one side of the equation, the same thing must be done to the other side. Dividing each side by -4 in part A would cause the sign to flip because the sign is always flipped when dividing by a negative. Because 4 in 4x (part B) is not negative, the sign is not flipped.
Step-by-step explanation:
Hope this helped!!
Answer:
First city: $5,500
Second city: $5,000
Step-by-step explanation:
Let's define x as the hotel price in the first city and y the hotel price in the second city. We can start with this equation:
y = x - 500 (The hotel before tax in the 2nd city was $500 lower than in the 1st.)
Then we can say
0.065x + 0.045y = 582.50 (the sum of the tax amounts were $582.50)
We place the value of y from the first equation in the second equation:
0.065x + 0.045 (x - 500) = 582.50
0.065x + 0.045x - 22.50 = 582.50 (simplifying and adding 22.5 on each side)...
0.11x = 605
x = 5,500
The cost of the first hotel was $5,500
Thus, the cost of the second hotel was $5,000 (x - 500)
Answer:
A Hope this helps!!
Step-by-step explanation:
A because it doesn't matter who gets chosen for the committee there is still going to be more girls than boys but it doesn't have to be a must and it's not B because it would be 3 girls and 2 boys
