This is #5 Algebra-Find the value for x I know it’s 11 but how do I get there.
1 answer:
Answer:
x = 11
Step-by-step explanation:
the line x + 5 is a mid segment of the triangle and thus is half the length of 3x - 1, that is
x + 5 = (3x - 1)
multiply both sides by 2 to eliminate the fraction
2x + 10 = 3x - 1 ( subtract 3x from both sides )
- x + 10 = - 1 ( subtract 10 from both sides )
- x = - 11 ( multiply both sides by - 1 )
x = 11
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<u>Given</u>:
The base of the triangle is b = 3 feet.
The height of the triangle is h = 4 feet.
The other side of the triangle is 5 feet.
The height of the triangular prism is 20 feet.
We need to determine the surface area of the triangular prism.
<u>Surface area of the triangular prism:</u>
The surface area of the triangular prism is given by the formula,
where b is the base of the triangle,
h is the height of the triangle,
s₁ , s₂ and s₃ are the sides of the triangle and
H is the height of the triangular prism.
Substituting the values, we get;
Thus, the surface area of the triangular prism is 252 ft²