Answer:
Step-by-step explanation:
Sum of the angles of a triangle is ALWAYS 180°.
2x+3x+5x = 180°
10x = 180°
x = 18°
2x = 36°
3x = 54°
5x = 90°
The angles are 36°, 54°, and 90°
Answer:
X = -2 and 4
Step-by-step explanation:
Move all of the terms to one side and set the equation to 0:
2x^2-14x+40-3x^2+16x-32 = 0
Then combine all like terms which would look like the following:
-x^2 + 2x + 8=0
Change the signs on both sides of the equation:
x^2 - 2x - 8 =0
Write -2x as a difference:
x^2 + 2x - 4x -8 = 0
Factor the expression:
x(x+2) x 4(x+2)=0
Factor out x+2 from the equation:
(x+2) (x-4)=0
Split into classes and then find the answer from there:
x+2=0
x-4=0
Put in slope intercept form so the first equation would be y=-x-9 then the second one will be y=-5/2x-16
The area of the triangle is
= 3.4641 square feet.
Step-by-step explanation:
Step 1:
According to the Pythagorean theorem, the square of the hypotenuse will be equal to the sum of the squares of the other two sides.
In the given triangle, the hypotenuse is the side that is represented by c. The other sides on the triangle are represented by the values a and b.
Step 2:
Assume the other side of the triangle measures x units.
So according to the Pythagorean theorem,


So the other side of the triangle, b measures 2 feet.
Step 3:
The area of a triangle is half the product of its base length and height.
The base length of this triangle is
feet and the height is 2 feet.
The area of the triangle
The area of the triangle is
= 3.4641 square feet.
Let’s say Y = total amount of snow, and X = number of hours
Y = 4x + 18