Hello! So, the sum of the angles of a triangle is 180 degrees. There’s already an angle that is 60 degrees. So, there are 120 degrees left to be found. You set this formula up as 3y = 120. Divide each side by 3 to isolate the y. When you solve that, you should get y = 40.
2y = 80 degrees
y = 40 degrees
First of all, we know that it's a linear equation, which means it'll have to be y=mx+b.
Identify your points.
(0, 0) and (5, 4).
Now find the slope by doing
m = (y₂ - y₁)/(x₂ - x₁)
m = (4 - 0)/(5 - 0)
m = 4/5
So the slope is 4/5 or 0.8.
Now set the equation up. You have a point and the slope, so use the point-slope equation.
y - y₁ = m(x - x₁)
y - 4 = 4/5(x - 5)
y - 4 = 4/5x - 4
y = 4/5x
So the equation of the line is y=4/5x.
Answer:
Weight of dog: 34 pounds,
Weight of cat: 12 pounds.
Step-by-step explanation:
Let d represent weight of dog and c represent weight of cat.
We have been given that a dog weighs two pounds less than three times the weight of a cat.
3 times weight of cat: 
We can represent the given information in an equation as:

We are also told that the dog also weights twenty-two more pounds than the cat. We can represent the given information in an equation as:

Equate both equations:






Therefore, the weight of cat is 12 pounds.
Substitute
in equation (2)



Therefore, the weight of dog is 34 pounds.
Answer:
$11535.60
Step-by-step explanation:
We have been given that Jackson deposited $5000 at 3.8% interest compound continuously when he was 18 years old.
To find the amount that Jackson will earn when he is 40 years old, we will use compound interest formula.

A= Amount after T years.
P= Principal amount.
e= Mathematical constant e.
r= Interest rate (in decimal form).
T= Time in years.
Let us convert our given interest rate into decimal form.

Upon substituting our given values in above formula we will get,


Therefore, Jackson will have $11535.60 in his account when he is 40 years old.
Answer:
I believe that if the power went off you wouldnd see at all.
Step-by-step explanation:
Mirrors bend light to show the images of yourself and others that you see. not sure if im right but... hope it helps.