3 years ago

What’s the value for X?

Mathematics

1 answer:

jolli1 [7]3 years ago

6 0

Answer: x = 5

Step-by-step explanation: This is an isosceles triangle, which means two sides are equal in length and two angles are equal in measurement.

Line BA = Line BC

Similarly, Angle A = Angle C

Angle A plus Angle C equals 146°

Also the sum of the interior angles of a triangle is 180°

Therefore, 146 + (6x + 4) = 180

Subtract 146 from both sides of the equation

6x + 4 = 34

Subtract 4 from both sides of the equation

6x = 30

Divide both sides of the equation by 6

x = 5

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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.$