A right triangle is formed by line segments KM, MP, and KP.

Based on the diagram, which describes the
best method to determine the area of the
shaded region?

A: The area of the shaded region is equal to
the sum of the areas of the two unshaded
regions.

B: The area of the shaded region is equal
to the difference in the areas of the
unshaded regions.

C: The area of the shaded region is equal
to the sum of the side lengths of the
unshaded regions.

D: The area of the shaded region is equal to
the difference in the side lengths of the
unshaded regions

B: The area of the shaded region is equal

to the difference in the areas of the

unshaded regions.

Step-by-step explanation:

i got this write on my homework :D

∠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.

x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x