(writing expressions) john charges $20.00 to mow each lawn and $5.00 to cut each bush. he mows x number of lawns and cuts y number of bushes. which expression shows how much money john will earn? a) (20+5)xy b) 20y + 5x c) 20x + 5y d) (20 + 5) + (x + y)

D

Step-by-step explanation:

Let E(x,y) represent the total earnings.

Then E(x,y) = ($20/lawn)x + ($5/bush)y   (Answer D)

2

step-by-step explanation:

answer:   the paragraph proof is mentioned below.

step-by-step explanation:

given: in a δxwy where

such that, ∠wzx ≅ ∠yzx and zw≅zy

we have to prove that: segment zx is a perpendicular bisector of segment wy.

prove: since, zw≅zy ⇒ ∠wzy is a supplementary angle.

then, ∠wzy= 180°

⇒∠wzx + ∠yzx = 180° ( because xz divides ∠wzy into two parts)

but, ∠wzx ≅ ∠yzx ( given)

⇒∠wzy+∠wzy=180° ( by substitution)

⇒2∠wzy=180°

⇒∠wzy=90°

⇒∠wzy=∠yzx =90°

therefore, xz⊥wy where wz=zy

⇒zx is a perpendicular bisector of wy.