Awarranted contracting officer's authority is specifically set forth in writing. this authority is referred to as authority.

Express Authority

Explanation:

Express authority is when the principal's words or conduct rationally cause the agent to believe that he or she has been empowered to act. An agent receives expressl authority in writing. In a corporation, written express authority includes bylaws and resolutions from directors' meetings which grant the authorized person permission to carry out a specific act on behalf of the corporation. An agent, operating under express authority, enters into a contract with a third party, this is first binding and the contract will create contractual rights and liabilities between the principal and the third party.

bd = 9 cm

step-by-step explanation:

in a 30°-60°-90° triangle, the ratio of side lengths is 1 : √3 : 2. that is, the longest side (hypotenuse) is twice the length of the shortest side.

all of the triangles in your geometry are 30°-60°-90° triangles. ac is the hypotenuse of δacd, and the short side of δabc.

the short side ad of δacd will be half the length of ac, so 3 cm. the hypotenuse ab of δabc will be twice the length of ac, so 12 cm. segment bd is the difference of the lengths ab and ad, so is

bd = ab -ad

bd = 12 cm - 3 cm = 9 cm

comment on side length ratios

you can figure the ratios of side lengths in a 30°-60°-90° triangle by considering the trig ratios of the angles. or you can figure the length of the altitude of an equilateral triangle of side length 2 using the pythagorean theorem.

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