Answer:
The dog weighs 16 pounds, while the cat weighs 8 pounds
Step-by-step explanation:
Let's call the weight of the dog d, and the weight of the cat c.
d+c=24
d=2c
Substitute the second equation into the first:
(2c)+c=24
3c=24
c=8
d=24-8=16
Hope this helps!
Answer: -6
Step-by-step explanation: It changed -6 each round because -6x3=-18.\
Hope this helped!
The difference in salary is 36000-28000=8000
The difference in annual increase is 3000-2000=1000
Therefore it takes 8000/1000= 8 years to catch up.
At the end of eight years,
Salary with the first company = 28000+8*3000=52000
Salary with the second company = 36000+8*2000=52000
In this attached picture, we can prove that triangles AOB and COD are congruent. ∠CDO and ∠ABO are equal because they are alternate angles. Similarly, ∠OAB and ∠OCD are equal because they are alternate angles, as well. We have a rectangle and in the rectangle, opposite sides are equal; AB = CD. Then, because of Angle-SIde-Angle principle, we can say that triangles AOB and COD are equal. If triangles are congruent, then OD = OB and OC = AO. Applying congruency to the triangles ACD and BCD, we can see that these triangles are also congruent. It means that the diagonals are equal. Since, OD = OB and OC = AO, it proves that the point O simultaneously is the midpoint and intersection point for the diagonals.
OK, no figure, but from the comment is sounds like the grey area is the big circle minus the small circle.
The diameter of the small circle is 2 so its radius is 1 and its area πr² is π.
The radius of the larger circle is 4, so area 16π
The shaded area is 16π - π
Answer: 15π