Salmon's height and Rita's height is r cm and s cm respectively. Katherine's height is 11 cm shorter than Rita. (a) Write an expression for the difference in height between Salmi and Katherine.

(b) If r = 154 and s = 162, calculate the difference in height between Salmi and Katherine.​

∠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.

there are infinitely many solutions.

25.3

step-by-step explanation:

1st step

add 3+6

=9

multipy 9*3

=37

if the angular bisector of an triangle bisects the opposite side, prove that the other two sides are equal.