Answer:
Step-by-step explanation:
Angle sum property of triangle: Sum of all the angles of a triangle is 180
Alternate interior angles: When two parallel lines are intersected by a transversal, the pair of angles on the inner side of each of these lines but on the opposite side of the transversal are called alternate interior angles
In ΔABC,
∠1 + 90 + 38 = 180 {angle sum property of triangle}
∠1 + 128 = 180
∠1 = 180 - 128

AB // CD and AC is transversal.
{Alternate interior angles are equal}
In ΔACD,
∠2 + ∠3 + 63 = 180 {angle sum property of triangle}
∠2 + 38 +63 = 180
∠2 + 101 =180
∠2 = 180 - 101

Answer:
the answer is C
Step-by-step explanation:
Answer:
It is known that in the periodic inventory, the accounting record of the stock of goods will occur only at the end of a certain period with the physical count of the existing quantities. Consider the following CVM information = 500.00; Initial Inventory = 700.00 and Purchases = 800.00. Applying the concept of periodic inventory and applying the formula for calculating the CMV, determine the value of the final stock.
ALTERNATIVES
Final stock of 2,000.00.
Final stock of 1,500.00.
Final stock of 1,300.00.
Final stock of 1,200.00.
Final stock of 1,000.00.
Final Stock (EF) = 1,000.00
Step-by-step explanation:
Alternative E - Final stock of 1,000.00.
Given That,
CMV = 500,00
Initial Stock (EI) = 700.00
Purchases (C) = 800.00
Final Stock (EF) = ?
Formula
CMV = Initial Stock (EI) + Purchases (C) - Final Stock (EF)
CMV = EI + C - EF
500 = 700 + 800 - EF
500.00 = 700.00 + 800.00 -X
500 = 1500- EF
500.00 = 1,500.00-X
EF = 1500-500
X = 1,000.00
EF = 1,000.00
Therefore, the final stock is 1,000
P(not 5) =5/6 and P(5) = 1/6
If the first 5 is rolled on the 5th roll then the first four rolls were not 5
P(5 on fifth roll) = 5/6 x 5/6 x 5/6 x 5/6 x 1/6 = 5^4/6^5 = 625/7776 = 0.080375...