Answer:
67.5 ft
Step-by-step Explanation:
==>Given:
∆MAB and ∆MNP, such that:
AB is parallel to NP
MN and MP are transversal
MN = 71.5 ft
MP = 97.5 ft
AN = 22ft
MA = MP - AN = 71.5 - 22 = 49.5 ft
MB = x
==>Required:
Value of x
==>Solution:
From the figure given, since AB is parallel to NP, and MN and MP are transversal, thus:
<MAB is congruent to <MNP
<MBA is congruent to <MPN
This implies that ∆MAB is similar to ∆MNP
Therefore, the ratio of their corresponding sides would be the same, and also proportional.
Thus,
MA/MN = MB/MP
49.5/71.5 = x/97.5
=>Cross multiply to solve for x
49.5 × 97.5 = x × 71.5
4,826.25 = 71.5x
=>Divide both sides by 71.5
4,826.25/71.5 = x
67.5 = x
x = 67.5 ft
To find the total number of butterflies we add 9 and 7, which equals 16 butterflies in all. Then we take the queen butterfly part of the ratio, which is 7 and compare it with the total number of butterflies to get the ratio 7:16.
Answer:
5,040 play list arrangements. its very complexe and will hurt to type srry
Step-by-step explanation:
(21 3/4) / (2 1/2) =
(87/4) / (5/2) =
87/4 * 2/5 =
174/20 reduces to 8 7/10 (or 8.7)meters per hr
Answer:
The width is: 
The length is 
Step-by-step explanation:
The given rectangle has area given algebraically by the function:
The width of the rectangle is the greatest common factor of 
, 
and 
That is the width is:
We now divide the area by the width to obtain the length of the rectangle:
This simplifies to:
