What is the value of x?
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units

The value of x is 28.

Solution:

Given APR is a triangle.

CD divides the two sides of a triangle APR and CD is parallel to AP.

By Proportionality theorem,

If a parallel line to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.

Do cross multiplication.

⇒ 15x = 42 × 10

⇒ 15x = 420

Divide by 15 on both sides of the equation.

⇒ x = 28

The value of x is 28.

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11 -1> 1 -1+ a

-12 > a