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Find x in each of the following

Find x in each of the following-example-1

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Answer:

d) I assume x is the missing angle

the sum of the angles of a triangle = 180°.

2.5x°+20°+40°+20°=180°

2.5x+80=180

2.5x=180-80

x=40°

e)square of area 64cm²

the area of a square =c²

side = V64 =8cm

f) rectangle with area 35cm²

sides: x and (x+2)

A =x(x+2)=x²+2x

x²+2x=35

x²+2x-35=0

solve by factoring :

I write2x as a difference: x²+7x-5x-35=0

we factor

x(x+7)-5(x+7)=0

(x+7)(x-5)=0

x+7=0 x=-7

x-5=0 x = 5

a length is never negative: x= 5

rectangle width = 5cm

rectangle length = 7cm

Explanation: