Elena has $5 and sells pens for $1.50 each. She wants to have enough money to buy a $20 shirt and still have money
left over

10 pens

Step-by-step explanation:

Find out how much pens she needs to sell to get $15, to get $15, exclude out how much Elena has.

$20 - $5 = $15

Now divide.

$15.00 ÷ $1.50 = 10 pens

She will need to sell more than 10 pens to have enough money to buy a $20 shirt and still have money.

Step-by-step explanation:

1.5x + 5 > 20

         -5   +5

1.5x > 15

/1.5   /1.5

x > 10

∠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.

step-by-step explanation: 4 cause 2+2=4