Asap! will give
there were 80 boys and 95 girls on the middle school track team last year. this year the number of boys increased by 15% but the number girls decreased by 20%. was there an overall increase or decrease in the number of students on the track team? calculate the overall percent of change in the number of students on the track team. show your work .

a) 1% increase
b) 4% increase
c) 17.7% increase
d) 1% decrease
e) 4% decrease
f) 17.7% decrease

There was a 1% overall decrease

Step-by-step explanation:

1. you have to add 80 to 95 to get the original number of members which is 175

2.because there was a 15% increase of 80 boys you have to do 80*.15 which gets you 12 so you have to add twelve to eighty to get the new number of boys

3.next you have to do the same exact thing to the girls team but because its a decrease in girls you have to subtract the number you get after multiplying 95*.2 to get the next years number of 76 current girl members.

4.next you have to add 76 to 92 to get 168

5.then you have to divide 168 by 175 to get .96 decrease which you have to round up to a 1% decrease

HOPE THIS HELPS

∠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.