How to solve this?
0.5x+y=1.5 and 0.8x-0.2y=6

Step-by-step explanation:

Step 1 : 0.5x + y = 1.5

            0.8x - 0.2y =6

Step 2 : y = 1.5 - 0.5x

             0.8x - 0.2 ( 1.5 - 0.5x ) = 6

Step 3 : y = 1.5 - 0.5x

            0.8x - 0.3 + 0.1x = 6

Step 4 : y = 1.5 - 0.5x

            0.9x = 6.3

Step 5 : y = 1.5 - 0.5* 7

             x = 7 ( put 7 into the x value above )

Ans: y = -2

        x = 7

You can ask me if you don't understand any step^^

∠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.

false

step-by-step explanation:

false.   two legs of the trapezoid would be congruent, but the other two would not.   were all the legs congruent, then we'd have a square; were the 2 shorter sides congruent and the 2 longer sides also congruent, we'd have a rectangle.