Answer:
BC:BN=8:3
Step-by-step explanation:
ABCD is a trapezoid and there is a point m which belongs to AD such that AM:MD=3:5.Line "l" parallel to AB intersects the diagonal AC at p and BD at N.
Now, we know that the parallel lines divide the transversal into the segments with equal ratio, therefore, BN:NC=AM:MD
But, BC= BN+NC
Therefore, BC:BN=(BN+NC):BN
⇒BC:BN=(3+5):3
⇒BC:BN=8:3
<u>ANSWER</u>
<u>EXPLANATION</u>
The given compound inequality is
We need to simplify this inequality so that we can obtain x standing alone between the inequality signs.
We add 6 through out the inequality.
This simplifies to:
We now divide through by -3 and reverse the inequality sign.
We now simplify to get:
Given:
Area of rectangle =
Width of the rectangle is equal to the greatest common monomial factor of .
To find:
Length and width of the rectangle.
Solution:
Width of the rectangle is equal to the greatest common monomial factor of is
Now,
So, width of the rectangle is .
Area of rectangle is
Taking out GCF, we get
We know that, area of a rectangle is the product of its length and width.
Since, width of the rectangle is , therefore length of the rectangle is
.