Answer: C. A rectangle.
Step-by-step explanation:
1. By definition, a cross section is the intersection of a plane and a body of three dimensions.
2. A pentagonal prism has a pentagon as its base and its lateral faces are rectangles.
3. If the pentagonal prism is cut by a plane perpendicular to the base, this means that the plane is parallel to lateral faces, then, the shape of the cross section that is formed is also a rectangle.
4. The answer is the option C.
Answer:
Positive product
Step-by-step explanation:
Answer:
7 < x < 34
Step-by-step explanation:
The answer must be greater than 7, else the two sides are less than or equal to the third. That triangle is impossible. The answer must also be less than 34, because then the two other sides would equal the third, making an impossible triangle.
Answer:
The angle between any two faces of this pyramid is equal to 
Step-by-step explanation:
we know that
An equilateral triangle has three equal sides and three equal internal angles of measure 60 degrees
In this problem
All the faces in the regular triangular pyramid are equilateral triangles.
therefore
The angle between any two faces of this pyramid is equal to 
Answer:
y = x + 1
Step-by-step explanation:
We can use the point-slope formula to write an equation for this problem. The point-slope formula states: <em>(y - y1) = m (x - x1) </em>
Where m is the slope and (x1 y1) is a point the line passes through.
Substituting the slope and the values from the point in the problem gives:
( y - 2 ) = 1 ( x - 1 )
We can also solve for y to put the equation in slope-intercept form. The slope-intercept form of a linear equation is: <em>y = mx + b</em>
y - 2 = 1x - 1
y = 1x - 1 + 2
<em>y = 1x + 1 or y = x + 1 </em> * are just the same.