Madison and Allie have a goal to read 3,300 pages together by the end of 3rd quarter. Madison reads 50 page every day Allie reads 10 more pages every day than madison reads. Write and solve an equation to show how many days it will take them to read 3,300 pages

It will take Madison and Allie 30 days to read 3,300 pages

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Number of pages Madison reads every day = 50

Number of pages Allie reads every day = 60 (10 more pages every day than Madison reads)

2. Write and solve an equation to show how many days it will take them to read 3,300 pages.

Number of days it will take Madison and Allie to read 3,300 pages = x

Writing and solving the equation:

50x + 60x = 3,300

110x = 3,300

x = 3,300/110

x = 30

It will take Madison and Allie 30 days to read 3,300 pages

∠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.

25/14 or 1.

step-by-step explanation:

the dots mean that it has infinitely more numbers behind it