Andre drinks 15 ounces of water, which is 3/5 of a bottle. how much does the bottle hold? use x for the number of ounces of water the bottle holds.

25 ounces of water

Step-by-step explanation:

3/5 = 15

Cross multiplying this:

1 = x

3/5 = 15

3/5x=15

x=25

The bottle hold 25 ounces of water

Step-by-step explanation:

To find the amount of water the bottle hold, we will follow the steps below;

let x be the number of ounces of water the bottle holds

3/5  of x  = 15 ounces

3/5  ×  x   = 15

  = 15

Multiply both-side of the equation by 5

 ×  5   =  15×5

At the left-hand side of the equation 5 will cancel-out 5 leaving us with 3x

3x = 75

Divide both-side of the equation by 3

 =  

(On the left-hand side of the equation 3 at the numerator will cancel-out 3 at the denominator leaving us with x while on the right-hand side of the equation 75 will be divided by 3)

x = 25 ounce

10cm

step-by-step explanation:

ik

∠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.