Suppose an architect draws a segment on a scale drawing with the end points (0,0) and (3⁄4,9⁄10). the same segment on the actual structure has the end points (0,0) and (30,36). what proportion could model this situation?

Segment drawn on scale having end points O (0,0) and A is a line segment.

O A=

O A =

     =

    =

Now ,  the same segment actual structure having end points O'(0,0) and B (30,36) is also a line segment.

O'B=

     =

     =

     = 2√549

[Cancelling √549 from numerator and denominator]

So, Actual length = 40 × Length on scale

30 miles

step-by-step explanation:

we know that 60 seconds equals 1 minute and 60 minutes 1 hour

44 ft       60 sec     60 min     158400   ft

  *   *   =

1 sec       1 min       1 hour         hour

we know that there are 5280 ft per mile

158400   ft       1 mile         30 miles

  *   =

1   hour               5280 ft     1 hour

so in 1 hour   it can travel 30 miles

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17