Arectangular picture measures 6 inches by 8 inches. charlie wants to build a wooden frame for the picture so that the framed picture takes up a maximum area of 100 square inches on his wall. the pieces of wood that he used to build the frame all have the same width.

write an equation or inequality that could be used to determine the maximum width of the pieces of wood for the frame charlie could create. explain how your equation or inequality models the situation.

solve the equation or inequality to determine the maximum width of the pieces of wood used for the frame to the nearest tenth of an inch.

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

2,160 π

step-by-step explanation:

step-by-step explanation: