Answer:
Step-by-step explanation:
1. AB * BE = CB * BD ------------------- 1. GIVEN
2. CB/BE = AB/BD ------------------- 2. Property of cross multiplication
3. ∠ABC ≅ ∠DBE ------------------- 3. Vertical angles
4. ΔABC ~ ΔDBE ------------------- 4. SAS property of similarity
Answer:
The age of the person who entered the room is 15
Step-by-step explanation:
Ages of 5 people in a room are:
17, 16, 15, 17, 22
A person enters room, the mean age of 6 people is 17.
We need to find the age of person who entered the room.
We know that: 
Now, we have mean of 6 people that is 17
We know the age of 5 people while age of one person is unknown.
Let age of person which is unknown= x
So, we can write:
Sum of all data values = 17+16+ 15+ 17+ 22+x
where x is the age of person who enters the room.
Finding x

So, we get the value of x: x=15
Therefore, the age of the person who entered the room is 15.
Answer:
Option (3)
Step-by-step explanation:
Explicit formula of the sequence is,

From this explicit formula,
First term of the sequence will be,


Second term of the sequence,

= 13
3rd term of the sequence,

= 31
Sequence formed,
7, 13, 31 ..........
From the given options,
Recursive formula,



= 13



= 39 - 8
= 31
Sequence formed from this recursive formula will be,
7, 13, 31........
Therefore, Option (3) will be the answer.
Answer:
25+20+(10w+15w)
Step-by-step explanation:
in the parenthisis is what they get each week
so each week its starts with 45 plus what ever they get each week and what ever they get times w for each week so if they do it for 5 weeks its
25+20+[(10x5)+(15x5)]
45+(50+75)= 170