Calculate the value of x in the illustration below.

Explanation:

The inscribed angle AHP is exactly half that of the arc it cuts off, which is arc AP = 160.

inscribed angle = (1/2)*(arc measure)

angle AHP = (1/2)*(arc AP)

6x+10 = (1/2)*160

6x+10 = 80

6x = 80-10

6x = 70

x = 70/6

x = 35/3

x = 11.667 approximately

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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