Answer:
61 is the length of AD. Hope this helps!
Convergence is what i would say personally
Step-by-step explanation:
Given:
AD is the bisector of ∠BAC
∠CPD = ∠BPD
1) ∠CAP = ∠BAP
Reason: definition of angle bisector
2) ∠CPD = 180 − ∠APC, ∠BPD = 180 − ∠APB
Reason: definition of supplementary angles
3) 180 − ∠APC = 180 − ∠APB
Reason: substitution
4) ∠APC = ∠APB
Reason: algebra
5) AP = AP
Reason: reflexive property
6) ΔAPC ≅ ΔAPB
Reason: ASA congruence
Answer:
b) 300in^2
Step-by-step explanation:
area of triangle = base x heigth / 2
10 . x 10 / 2 = 100/2 =50
surface area of one face is 50
there 4 sides so 50 x 4 = 200
and the bottom is length x width = 10 x 10 = 100
100 + 200 = 300
Since there is a 70% chance of making $12,000 so have that:
.70 × 12000 = 8400
Also, we have a 10% chance of breaking even, so we also have that:
.10 × 0 = 0
Finally, we have a 20% chance of losing $7400 so we also have that:
.20 × 7400 = 1480
Thus, putting it all together we have:
.70(12000) + .10(0) + .20(7400) = 8400 + 0 + 1480 = 9880
Therefore, the expected value is:
$9880
