С ABC and AED are straight lines.
BE and CD are parallel.
В.
AC = 12.3 cm
AB = 8.2 cm
BE = 3.8 cm
a) Work out length CD.
А
E
D
AD = 9.15 cm
b) Work out length ED.

9514 1404 393

  a)  CD = 5.7

  b)  ED = 3.05

Step-by-step explanation:

Triangle ABE is similar to triangle ACD by AA similarity. This means we can write the proportions ...

a) CD/BE = AC/AB

  CD = BE(AC/AB) = 3.8(12.3/8.2)

  CD = 5.7

__

b) ED/AD = BC/AC

  ED = AD((AC -AB)/AC) = 9.15(12.3 -8.2)/12.3

  ED = 3.05

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

.632

step-by-step explanation:

6 * 1/10 = 3/5

3*0.01 = 0.03

3/5 + 0.03 = .63

2*0.002 = .002

.63 + 0.002 = .632