Joe was moving from California to Michigan to attend college. Joe answered an advertisement on the web and signed a lease for an apartment without ever seeing the apartment. Joe found the premises filled with an abundance of debris, rats and insects. Also, the plumbing in the apartment was inoperable. These conditions:

Most likely constitute a breach of the implied warranty of habitability.

Explanation:

A warranty of habitability specifies that a property for rent is up to standard, that is it meets basic living and safety standards. This warranty is only implied for leases and rentals of residential properties. Since Joe found the premises filled with an abundance of debris, rats and insects and the plumbing in the apartment inoperable, then this property is not up to standard and therefore constitute a breach of the implied warranty of habitability

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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