3. given: abce is a rectangle. d is the midpoint of e.

prove: ad bd

statements

1) abce is a rectangle. d is the midpoint of ce.

2) _aed __bcd

3) ae = bc

4)?

5)?

6)?

reasons

1) given

2) def. of rectangle

3) def. of rectangle

4) ?

5) ?

6)?

Answer with Step-by-step explanation:

We are given that

ABCE is a rectangle .Rectangle is that quadrilateral in which opposite sides are equal and each  is equal to  90 degrees.

D is the midpoint of E.

We have to prove that

Statement:1 ABCE is a rectangle.D is the mid point of CE

Reason: Given

Statement 2:

Reason:By definition of rectangle

Statement:3 AE=BC

Reason: By definition of rectangle

Statement 4:

Reason: By definition of midpoint because D is the midpoint of side EC

Statement 5:

Reason:SAS postulate

Statement: 6

Reason:CPCT

Hence proved.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

the area of the rectangle is 35units^2.

step-by-step explanation:

graph it and find the distance.

it is a 5*7 rectangle.

therefore the area is 35units^2.