Answer:
x = 120°
Step-by-step explanation:
the 165 degree obtuse angle forms a straight line with the upper left angle inside the triangle, therefore this angle measures 15 degrees
we know two of the three angle measures so we add all three together to find the unknown angle
x + 15 + 45 = 180
x + 60 = 180
x = 120°
Answer:
5.5 years old.
Step-by-step explanation:
Let D represent present age of Robert's dog and C represent present age of Karen's cat.
We have been given that Robert's dog is 4 years older than Karen's cat. We can represent this information in an equation as:

We are also told that in 3 years, the sum of the ages of Robert's dog and Karen's cat will be 13. After 3 years age of dog and cat would be
and
respectively.
We can represent this information in an equation as:

From equation (1), we will get:

Upon substituting this value in equation (2), we will get:

Combine like terms:





Therefore, Robert's dog is 5.5 years old right now.
The correct answer is number one
Answer:
3 calories
Step-by-step explanation: 100%-40%=60% .6*5=3 calories
Answer:
x approximately = 11.971, y approximately = 0.837
Step-by-step explanation:
the 12 ft is the hypotenuse of the right angle triangle formed
Cos (theta) = adjacent/hypotenuse
so Cos(4) = x/12, solving for x = 11.971
Sin(theta) = opposite/hypotenuse
so Sin(4) = y/12, solving for y = 0.837