Please help me is for my daughter
1 answer:
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Answer:
325
Step-by-step explanation:
You must have heard about Arithmetic Progressions (AP)
Arithmetic progressions are a series of numbers such that every successive number is the sum of a constant number and the previous number.
Our very own counting numbers form AP
For example :-
2 = 1 + <u>1</u>
3 = 2 + <u>1</u>
4 = 3 + <u>1</u>
The number in bold (1) is that constant number which is added to a number to form its successive number.
To find the sum of series forming AP, we use the formula :-
here,
- n is the number of terms
- a is the first number of the series
- an is the last number of the series
So we'll use all this information to find the sum of continuous numbers from 1 to 25 where 1 is the first term(a) and 25 is the last(an).
and n is 25
So, the value of S comes out to be 325.
Answer:
Step-by-step explanation:
Given:
AC = 5
BC = 6
DB = 4.2
∠ACD ≅ ∠BCD
AD =
∵ ∠ACD ≅ ∠BCD
∴ CD is the angle Bisector of ∠ ACB
We know that, from angle bisector theorem that,
The angle bisector of an interior angle of a triangle divides the opposite side in two segments such that the two segments are proportional to the other two sides of the same triangle.
Therefore, the sides that are in proportion are given as:
Substituting the given values we get:
Therefore, the value of is 3.5.