QUADRILATERAL QUAD IS A RECTANGLE FIND THE VALUE OF X AND Y

DU= 26, QP= 2X +7

The value of x is 3.

Step-by-step explanation:

Consider the below figure attached with this question.

Given: Quadrilateral QUAD is a rectangle, DU=26 and QP=2x+7.

We need to find the value of x.

Diagonals of a rectangle are equal.

            .... (1)

Diagonals bisect each other.

     .... (2)

Using (1) and (2) we get

Substitute given values.

Divide both sides by 3.

Hence, the value of x is 3.

You can find the area of a rectangle by multiplying the length and height. so multiply 1/2*7/4(which is the simpler version of 1 3/4) and you get 7/8 as your answer.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

1 the 1st term, 3 the 2nd term, 6 the 3rd term,etc.

note the following:

from the 1st term (1) to the 2nd term (3), we go up by 2,from the 2nd term (3) to the 3rd term (6), we go up by 3from the 3rd term (6) to the 4th term (10), we go up by 4, andfrom the 4th term (10) to the 5th term (15), we go up by 5.

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for