Answer:
24
Step-by-step explanation:
Let the number of mangoes owned by Tulsa be T and that by Julie be J
If Tulsa has 4 times as many mangoes as Julie then
T = 4J
Tulsa bought 6 more mangoes. She now has 5 time as many mangoes as Julie
T + 6 = 5J
Solve both equations simultaneously by substitution
4J + 6 = 5J
Collect like terms
6 = 5J- 4J
J = 6
Since
T = 4J
T = 4 * 6
= 24
Hence Tulsa had 24 mangoes at first
Option B:

Solution:
In the given figure
.
If two triangles are similar, then their corresponding sides and angles are equal.
By CPCTC, in
,
– – – – (1)
– – – – (2)
– – – – (3)
– – – – (4)
– – – – (5)
– – – – (6)
Option A: 
By CPCTC proved in equation (2)
.
Therefore
. Option A is false.
Option B: 
By CPCTC proved in equation (1)
.
Therefore Option B is true.
Option C: 
By CPCTC proved in equation (4)
.
Therefore
. Option C is false.
Option D: 
By CPCTC proved in equation (5)
.
Therefore
. Option D is false.
Hence Option B is the correct answer.

D, there is no division property of equality