2 years ago

In this figure, AB¯¯¯¯¯∥CD¯¯¯¯¯ and m∠4=85°.

Mathematics

2 answers:

GuDViN [60]2 years ago

7 0

Answer:

Step-by-step explanation:

Stolb23 [73]2 years ago

5 0

AB∥CD and m∠4=85°.

<1 = 180° - 85°

<1 = 95°

Because AB∥CD so <5 = <1 = 95° (corresponding angles are equal)

Answer

<5 = 95°

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A cement walkway of uniform width has been built around an in-ground rectangular pool. the area of the walkway is 1344 square fe

Elza [17]

Answer:

6 feet.

Step-by-step explanation:

Dimensions of the Pool =80 feet long by 20 feet wide

Area of the walkway =1344 square feet.

If the width of the walkway=w

Length of the Larger Rectangle =80+2w
Width of the Larger Rectangle =20+2w

Area of the Walkway =Area of the Larger Rectangle - Area of the Pool

$1344=(80+2w)(20+2w)-(80*20)\\1344=80*20+160w+40w+4w^2-80*20\\4w^2+200w=1344\\4w^2+200w-1344=0\\We factorize\\4(w^2+50w-336)=0\\4(w^2-6w+56w-336)=0\\w(w-6)+56(w-6)=0\\(w-6)(w+56)=0\\w-6=0$ or $ w+56=0\\w=6$ ft or $ w=-56$ \\Therefore, the width of the walkway , w=6 feet.$