Math homework help...Algebra ... PLS help! As soon as possible...?
Q. 1. Rajan saw a wooden piece near his bed. He measured it and found it to be 32 cm. long. He wanted to divide it into two parts. Help him divide the wooden piece such that if the larger part of the wood is divided by the smaller part the quotient is 2 and the remainder is 5.
Q 2. Rajan calculated the length and the breadth of his rectangular math notebook and found the length exceeds the breadth by 2 cm. If both the length and the breadth are increased by 1 cm, then the area of the book increased by 11 sq cm. Find the length and breadth of the book.
Q 3. The sum of the digits of a two digit number is 12. If the digits are reversed the new number is 4/7 times the original number. Find the original number.
Q 4. Rajan constructed rhombus ABCD. He then drew a straight line RABS such that RA = AB = BS. Help him prove that RD and SC when produced meet at right angles.
Hello, waterqueen7!
Here's one approach . . .
Q 4. Rajan constructed rhombus ABCD.
He then drew a straight line RABS such that RA = AB = BS.
Prove that RD and SC when produced meet at a right angle.Code:Q * * * * * D*-----------*C *α/ /β* * / / * * / / * *α /θ /θ β* * - - - - *-----------* - - - - * R A B S
We have: .
Let
.Then: .
In isosceles , let: .
Since the sum of its angles is 180°: . .[1]
In isosceles , let: .
Since the sum of its angles is 180°: . .[2]
In
Substitute [1] and [2]: .
Therefore: . is a right angle.