Answer: 66 degrees
Step-by-step explanation:
Sum of the angle measures is 180, so:
71 + x + 49 + x + 72 = 180
2x + 192 = 180
2x = -12
x = -6
Meaning the measure of angle A = -6 + 72 = 66 deg.
Golden retrievers: 12/32
poodles: 20/32
does it need to be simplified?
Answer:

Step-by-step explanation:
AD = 4
AC = 11
DC = 11 - 4 = 7
First, find BD using the right triangle altitude theorem:

Plug in the values


Use pythagorean theorem to find x:
x² = AD² + BD²
Plug in the values





Take the square root of both sides




Answer:
x=y
Step-by-step explanation:
let x be the number of tennis balls and y the number of rackets.
-We divide the number of balls by the number of rackets to find out their ratio of proportionality:

-Hence, for each one ball there is one racket, so;

-This relationship is linear in nature, a direct variation, and can be graphed as attached below:
To establish this equation we first need to assign some variables.
Let us assign x as the number of hours he has worked
and assign y as the total amount of money that he has earned
Therefore the equation y=36.50x is the equation that correctly represents how much money he makes regardless of how many hours he works. Just plug in how many hours you want for x and then solve the equation and you will get how much money he makes in x amount of hours. This is also proportional because for every hour that he works he gets the same salary of 36.50. It is proportional because no matter how many hours he works the salary will go up the same amount for each extra hour he works. The proportion is 36.50 dollars per hour worked.