Hello again Charlesbabegirl! :)
First of all, let's say that the sum of all internal angles of a triangle is always 180°
This means that if you add up angles A, B and C you get 180 but we should find first the value of x by setting up a proportion of this type:
A + B + C = 180
12x + 12 + 15 + 3x + 18 = 180
Move all the known terms (those that don't have x) to the right with changed sign.
12x + 3x = 180 - 12 - 15 - 18
15x = 135
Divide both terms by 15
x = 9
Then plug the value of x...
m∠A = 12(9) + 12 = 108+12 = 120°
m∠C = 3(9) + 18 = 27 + 18 = 45°
Hope I helped and let me know if I was right!
Answer:
The height of the cone-shaped cup is 6 inches and the diameter at the top is 3 inches. What is ... Both cones and cylinders have circular bases.
Step-by-step explanation:
1 yd = 3 ft
area= pi r ^2
area=3.14 • 3^2
area= 3.14 • 9
area= 28.26ft^2
rounded to nearest 10th: 28.3 ft^2
ANSWER: J. 28.3 ft 2
Answer:
The slope of the line is 1.
Step-by-step explanation:
We are given two coordinate points:
We can use the rate of change formula to find the slope of the points.
In mathematics, coordinate pairs are labeled as:

Therefore, we can relabel our points:
After we do this, we can expand the rate of change formula:

Now, we can use simple substitution to solve for m, or the slope.

Therefore, the slope of the line is 1.