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.
Answer: $7.6502
Step-by-step explanation:
Grape cost $1.19 per pound. 3.16 pounds are bought. The total amount paid for grape will be:
= $1.19 × 3.16
= $3.7604
Peaches cost $1.29 per pound. 1.35 pounds are bought. The total amount paid for peaches will be:
= $1.29 × 1.35
= $1.7415
Peers cost $0.99 per pound. 2.17 pounds are bought. The total amount paid for pears will be:
= $0.99 × 2.17
= $2.1483
Total bill paid will be:
= $3.7604 + $1.7415 + $2.1483
= $7.6502
Answer:896.9
Step-by-step explanation:
Let x denotes excess premium over claims
, There are two possibilities
(i)Only husband survives
This can be possible with a possibility of 0.01
Claims=10,000
Premium collected
Thus x=1000-10,000=-9000
(ii)Both husband and wife survives
This can occur with a probability of 0.96
Here claims will be 0 as both survives
Premium taken=1000
thus x=1000
The probability that the husband survives is the sum of above cases
=0.96+0.01=0.97
Hence the desired conditional Expectation
Answer:
7^19
Step-by-step explanation:
(7^3)^5=7^15
7^15*7^4=7^19
The figure is of the parallelogram so it’s formula will be base x height. From the figure we can see that vase is = 11.5yd and the height is 22.5yd,so it’s area will he bxh/11.5yd x 22.5yd which will be 258.75yd square