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
Answer:
2.875 mi
Step-by-step explanation:
A scale factor (SF) is the ratio of two corresponding lengths in similar figures.
SF = actual distance/map distance = 5.75 mi/2 in
or 1 in = 2.875 mi
On the map, the distance from the library to the park is 1 in, so the actual distance is 2.875 mi.
Your question is too general. You might ask instead, "how do I simplify the radical sqrt(48)?"
sqrt(48) can b e simplified by rewriting 48 as the product of the perfect square 16 and the not-a-perfect-square 3:
sqrt(48) = sqrt(16)*sqrt(3) = 4*sqrt(3) (answer)
In #76, rearrange the terms so that you have 3sqrt(7x+4)=15. Then divide both sides by 3, obtaining sqrt(7x+4) =5. Squaring both sides: 7x+4=25.
Solve this linear equation for x.
