Last week at a festival, a man sold 5 times as many tie-dyed T-shirts as silk-screened shirts. He sold 210 shirts altogether. How many tie-dyed shirts did he sell? The number of tie-dyed shirts is

The number of tie-dyed shirts is 175

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the number of tie-dyed T-shirts sold.

y is the number of  silk-screened shirts.

He sold 210 shirts altogether.

This means that

Last week at a festival, a man sold 5 times as many tie-dyed T-shirts as silk-screened shirts.

This means that or

How many tie-dyed shirts did he sell?

This is x.

The number of tie-dyed shirts is 175

∠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.

c

step-by-step explanation: