P(A|B)= P(B and A) / P(A)
P(B and A) = .3 + .10 = .13 P(A)= .3
So,
P(A|B)= .13/.3
P(A|B)= 0.43333...
Answer:
ΔDAM ≅ ΔTUM according to Side Angle Side (SAS) rule of congruency
Step-by-step explanation:
The proof of congruency of the two triangles is as follows;
Statement
Reason
Segment DM is congruent to Segment TM
Given
Segment AM is congruent to Segment UM
Given
∠DMA is congruent to ∠UMT
Given
Therefore, ΔDAM is congruent to ΔTUM
SAS rule of congruency
Where;
SAS = Side Angle Side
Therefore;
ΔDAM ≅ ΔTUM according to Side Angle Side (SAS) rule of congruency.
See attached picture for answers:
Step 1
find the volume of the square box
volume=area of the base*height
area of the base=10²-----> 100 units²
height=4 units
volume square box=100*4----> 400 units³
step 2
volume rectangular box=2*volume square box
volume rectangular box=2*400------> 800 units³
volume rectangular box=L*W*H
H=5 units
W=10 units
Volume=800 units³
800=L*10*5------> solve for L
L=800/(10*5)------> L=16 units
the answer is
the length of the rectangular box is 16 units