BAC is similar to EDF. if the area of BAC equals 8 in.² what is the area of EDF? Plz help

Area of ΔEDF = 4.5 in²

Step-by-step explanation:

In the figure attached,

ΔBAC ~ ΔEDF

Property of similarity,

" If two triangles are similar then their corresponding angles will measure the same."

Scale factor for ΔBAC to ΔEDF =

                                                       =

"Ratio of the area of similar triangles = Square of the ratio of their corresponding sides"

=

Area of ΔEDF =

                       = 4.5 square inches

Therefore, area of ΔEDF = 4.5 in²

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

89

step-by-step explanation: