Question The figure shows the dimensions of two city parks, where ARST XYZ and YX YZ. A city
employee wants to order new fences to surround both parks. What is the total length of the fences
required to surround the parks?
R
х
230 ft.
T
Z
S
350 ft.
Y
The total length of fences needed to surround the parks is
feet.

1860

Step-by-step explanation:

The triangles are reflections of each other and since YX=YZ we know that YZ=350

add 350+350+230=930

930×2=1860 - for both parks

the answer is b.

step-by-step explanation:

identity property is where 0+whatever number=whatever number. basically 0+ a number.

∠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.