Answer:
prepare for unexpected bills or emergency repairs
Step-by-step explanation:
Answer:
- ∠1≅∠2-------------------------(Given)
- m∠1=m∠2-------------------(Definition of congruent angles)
- ∠ABP, ∠1 and ∠DCP,∠2 form linear pair---------------Linear pair
- m∠ABP+m∠1=180° and m∠DCP+m∠2=180°--------definition of linear pair
- ∠ABP≅∠DCP--------------------If equals are subtracted from equals, the remainders are equal
- AP≅DP----------------------------Given
- ΔABP≅ΔDCP-------------------AAS
Step-by-step explanation:
Given, ∠1≅∠2, ∠3≅∠4 and AP≅DP,
∠1≅∠2(given)
⇒m∠1=m∠2(definition of congruent angles)
- ∠m∠1=180° and ∠+m∠2=180° (Linear Pair)
180°=180°(Reflexive)
⇒m∠m∠1=m∠+m∠2
But m∠1 =m∠2 (definition of congruent angles)
⇒m∠m∠1=m∠+m∠1
m∠=m∠=(GIven)
Therefore, ΔΔ (by AAS criteria)
condition are:
- m∠1=m∠2 (Angle)
- m∠=m∠ (Angle)
- AP=DP (Side)
Answer:
Step-by-step explanation:
we know that
The simple interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
substitute in the formula above
Dependent event is an event that is affected by previous events. If you select the first blue gem from three, then the number of blue gems becomes 1 less and when choosing the second blue gem you have to select it from 2 blue gems. So, according to definition these events are dependent.
You have 7 white gems, 5 green gems and 3 blue gems that is 15 in total. Probability to choose first gem blue from jewel case is 3/15=1/5. Then there left 7 white gems, 5 green gems and 2 blue gems that is 14 in total. Probability to choose second gem blue from jewel case is 2/14=1/7.
Use the product rule to count the whole probability: 1/5·1/7=1/35.
Answer:
Step-by-step explanation:
Volume of 100 pages of the book =20 inches cube.
Step-by-step explanation:
Given : A 300-page book is 10 inches long, 8 inches wide, and 3/4 inches tall.
To find : The volume of 100 pages of the book.
Solution :
Formula to find the volume of book is
Where Length L=10 inches
Breadth B= 8 inches
Height H= inches.
Volume of the book with 300 pages is
Volume of 300 pages of the book = 60 inches cube.
Volume of 1 page of the book = inches cube
Volume of 100 page of the book = inches cube
Volume of 100 pages of the book =20 inches cube.