Answer:
The average rate will be -11000 dollars per year.
Step-by-step explanation:
The price of a house in 2005 = $250,000
The price of a house in 2010 = $195,000
at x₁ = 2005, f(x₁) = 250,000
at x₂ = 2010, f(x₂) = 195,000
Using the formula to determine the average rate of change for the
house each year.
Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]
= [195,000 - 250,000
] / [2010-2005]
= -55000 / 5
= -11000
Therefore, the average rate will be -11000 dollars per year.
After 20% reduction the price is $48 which means $48 is only 80% of the original price...so let x= original price
<span>48=.8x </span>
<span>60=x </span>
<span>it was $60
</span>
Amount=number of hotdogs per package times number of packages
amount=8 times P
amount=8P
amount must be equal to or greater than 78 since each guest wants 1 at least
amount<u>></u>78
8P<u>></u>78
(if you wanted to solve, the answer is at least 10 packages)
Answer:

Step-by-step explanation:
AK is angle A bisector, then

BL is angle B bisector, then

Consider triangle ABL. The sum of the measures of all interior angles in this triangle is
then

Consider triangle ABK. In this triangle,
![m\angle AKB=180^{\circ}-2x^{\circ} \ [\text{Supplementary angles}]](https://tex.z-dn.net/?f=m%5Cangle%20AKB%3D180%5E%7B%5Ccirc%7D-2x%5E%7B%5Ccirc%7D%20%5C%20%5B%5Ctext%7BSupplementary%20angles%7D%5D)
The sum of the measures of all interior angles in this triangle is
then

Hence,

Find the measures of the triangle ABC:
