Reading and similar triangles
In the diagram below of MADE, B is a point on AE and C
is a point on AD such that BC is parallel to ED. AC = x - 5,
AB = 15, BE = 40,, and AD = 2x + 3. Find the value of x
and the length of CD
A

Step-by-step explanation:

The parallel lines create similar triangles, so corresponding sides are proportional.

  AC/AD = AB/AE

  (x -5)/(2x +3) = 15/(15+40)

Cross-multiplying gives ...

  55(x -5) = 15(2x +3)

  55x -275 = 30x +45 . . . . eliminate parentheses

  25x = 320 . . . . . . . . . . . . add 275-30x

  x = 12.8 . . . . . . . . . . . . . . .divide by 25

__

CD = AD -AC = (2x +3) -(x -5) = x +8 = 12.8 +8

CD = 20.8

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

i hope this !

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents