Defg is a rectangle. find the value of x and the length of each diagonal if df = 2x – 1 and eg = x + 3.

X=4

Step-by-step explanation:

This problem bothers on the shape of a rectangle

Step one

From the description of the rectangle

Sides DE is equal to side EG

Note: Kindly see attached photo for your reference

Step two

To solve for x we must equate both sides

2x-1=x+3

Collecting like terms

2x-x=3+1

x=4

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)