-- A rhombus is always a parallelogram and a quadrilateral.
A rhombus can also be a square, but not all of them are.
-- A rectangle is always a parallelogram and a quadrilateral.
A rectangle can also be a square and a rhombus, but not all of them are.
-- A parallelogram is always a quadrilateral.
A parallelogram can also be a square, a rectangle, or a rhombus, but not all of them are.
-- A quadrilateral can be a square, a parallelogram, a rectangle, and a rhombus.
But not every quadrilateral needs to be any one of these things.
<em>However . . .</em>
-- You can definitely be sure that every square is always a quadrilateral,
a parallelogram, a rectangle, and a rhombus.
All four choices apply to a square, and should be selected.
Looking at the angles of the triangles
N=S
M=R
O=T
so MON would be RTS
There are standard formulas for this type of problem. However, it can also be solved by a combination of simple steps.
First, the shortest distance from the point (3,5) to the line y = x +4 (line1) will be along a straight line perpendicular to line1. Give the perpendicular line the name line2. Since the slope of line1 is 1, the slope of line2 will be -1.
Second, since line2 must go through (3,5) and also have a slope of -1, the point slope form can be used for line2:
y - 5 = (-1) (x -3)
So the equation of line2 is y = -x +8.
Third, the point of intersection of line1 and line2 can be found by solving the set of equations:
y = x +4
y = -x + 8
The solution of this set of two equations is x = 2, y = 6 i.e. the point (2,6) .
Fourth, the distance formula can be used to find the distance between (3,5) and (2,6)
d = sqrt( (3-2)2 + (5-6)2 ) = sqrt(2)
This is the desired distance.
Answer:
The number is 39
Step-by-step explanation:
Let the unknown number be <em>x</em>:
3000 multipled by 12 is 36,000.
