Given: ΔABC, AC = BC, AB = 3 CD ⊥ AB , CD = square root of 3 Find: AC

AC = 2.30

Step-by-step explanation:

Given: ΔABC, AC = BC, AB = 3 CD ⊥ AB , CD = .

Since CD ⊥ AB, thus CD divides AB into two equal parts.

From ΔACD, applying the Pythagoras theorem;

= +

      = +

      = 2.25 + 3

      = 5.25

AC =

     = 2.2913

∴ AC = 2.30

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°

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step-by-step explanation: