Sharon is painting her house. she needs 5 gallons of brown paint for every 7 gallons of white paint.  How many gallons of white paint does she need if she already bought 14 gallons of brown paint? A. 10 gallons. B. 19.6 gallons
C. 16 gallons. D. 25 gallons

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19.6

Step-by-step explanation:

The ratio of brown paint to white paint is, 5:7 or so if he bought 14 gallons of white paint we need to figure out:

which we can as it only has one unknown:

5x=14×7

5x=98

x=19.6

So the answer is 19.6

∠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.