Given: cf = df prove: 1 = 2 based on the given information, which of the following lines would be in this proof? triangle fce congruent to triangle fde by hl. triangle fce congruent to triangle fde by la. triangle acf congruent to triangle bdf by hl.

Triangle FCE congruent to Triangle FDE by HL. I thought at first that it was answer 2, but after further study it is answer 1

ΔFCE≅ΔFDE

Step-by-step explanation:

Given: CF=DF

In ΔFCE and ΔFDE,

CF=DF (Given)

∠CFE=∠DFE (Equal sides have equal angles)

FE=FE (common)

Therefore, by SAS rule of congruency,

ΔFCE≅ΔFDE,

⇒∠1=∠2

Hence option A is used in solving the problem.

$201,767.18

Step-by-step explanation:

Age at which Susan will retire= 65 years

Age ate which she began investing = 21 years

time for she invested = 44 years = 528 months

APR= 8.5 %

Effective annual rate = 8.84% (compounded monthly)

monthly investment= $35

Annual investment of Susan= 35*12= $420

Applying formula and calculating we get

When she retires she will receive = $201,767.18