the possibilities are probably b, using the elimination method
By definition, the prism volume is given by:
Where,
Ab: base area
L: long
Substituting values we have:
Answer: The volume of the triangular prism is:
Step-by-step explanation:
ok so as u know the angles of a triangle add up to 180.
So we will be using that for help.
S+R+T=180
12x+13x+12x-4+2-3=180
37x-5=180
37x=185
x=5
Now we will plug in the value for x to find each angle
S= 13(5)-4
=61
T=12(5)-3
=57
R=12(5)+2
=62
Hope this helped:)
Answer:
Step-by-step explanation:
Let the sides be a, b and c.
<h3>Given</h3>
The length of one side of a triangle is 2 feet less than three times the length of its second side
The length of the third side is 3/4 of the sum of the lengths of the first two sides:
The perimeter of the triangle is 17.5 feet:
<h3>Solution</h3>
Substitute a with b in the second equation:
- c = (3/4)(3b - 2 + b) = (3/4)(4b - 2) = (3/4)(4b) - (3/4)(2) = 3b - 1.5
Now substitute a and c with b in the third equation and solve for b:
- 3b - 2 + b + 3b - 1.5 = 17.5
- 7b - 3.5 = 17.5
- 7b = 17.5 + 3.5
- 7b = 21
- b = 3
Find the value of a:
- a = 3b - 2 = 3*3 - 2 = 9 - 2 = 7
Find the value of c:
- c = 3b - 1.5 = 3*3 - 1.5 = 9 - 1.5 = 7.5
The sides of the triangle are:
- a = 7 feet, b = 3 feet, c = 7.5 feet
