Answer:
a) Triangle
b) Rectangle
Step-by-step explanation:
A triangular prism that has an equilateral base and a height with the same length as the base of the prism.
a) Shape from horizontal slicing
A plane parallel to the base of a triangular prism will intersect a cross section that is the same shape as its bases. So the cross section of the horizontal slicing is an equilateral triangle (all the sides of the triangle are equal).
b) Shape from vertical slicing
If the triangular prism is sliced vertically, the resulting shape would be a rectangle with a length that is the same as the base of the prism.
<span>The sum of the interior angles of a triangle is 180 degrees
</span>
4x + 5x + 6x = 180
15x = 180
x = 180/15
x = 12
<span>The measure of the smallest angle = 4x = 4*12 = 48</span>°
6, it’s equal to 47, so 7(6)+5=47
Hey there!
x^2 + 4x = 12
SUBTRACT 12 to BOTH SIDES
x^2 + 4x - 12 = 12 - 12
SIMPLIFY IT
x^2 + 4x - 12 = 0
FACTOR the LEFT SIDE of your EQUATION
(x - 2)(x + 6) = 0
• EQUATION #1: x - 2 = 0
OR
• EQUATION #2: x + 6 = 0
SIMPLIFY IT
• EQUATION #1 answer: x = 2
OR
• EQUATION #2 answer: x = -6
OVERALL ANSWER: x = 2 or x = -6
YOUR ANSWER: x = 2 (Option A.)
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
