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.
The number of bottles in a full box is 12.
<u><em>Explanation</em></u>
Suppose, the number of bottles in a full box is 
So, the number of bottles in <u>three</u> full boxes 
Now, two more boxes are added, both of which have <u>one fewer bottle than the other three</u>. So, the number of bottles in these two boxes 
As there were 9 bottles initially and now there are 67 bottles in the fridge, <em><u>so the equation will be</u></em>....

Thus, the number of bottles in a full box is 12.
Answer:
Yes, It is a right triangle for the given vertices.
Step-by-step explanation:
Given:
Q(7, –10),
R(–3, 0),
S(9, –8)
To Find:
determine whether is a rig ht triangle for the given vertices = ?
Solution:
QR=
QR=
QR=
QR=
--------------------------(1)
QR=14.142136
RS=
RS=
RS=
RS=
---------------------------(2)
RS=14.422205
QS=
QS=
QS=
QS=
-------------------------------------(3)
QS=2.828427
According to Pythagorean Theorem,

Substituting the values,


208 = 208
Pythagorean theorem is satisfied. Hence it is a right triangle.
Answer:
A. 165 ft²
Step-by-step explanation:
volume = (½×5×6) x 11
= 15 × 11
= 165 ft²
Answer:
6x > x + 20,
x > 4
or
X belongs to a set of real numbers [0, +infinity)
Step-by-step explanation:
6x > x + 20
5x > 20
x > 4