Answer:
x = 14
Step-by-step explanation:
Since the triangles are similar then corresponding sides are in proportion, that is
=
( cross- multiply )
12(x - 4) = 120 ( divide both sides by 12 )
x - 4 = 10 ( add 4 to both sides )
x = 14
When the diagonals of a quadrilateral are perpendicular, the area of that quadrilateral is half the product of their lengths.
.. A = (1/2)*d₁*d₂
Substituting the given information, this becomes
.. 58 in² = (1/2)*(14.5 in)*d₂
.. 2*58/14.5 in = d₂ = 8 in
The length of diagonal BD is 8 in.
P=2(9-15) is what i got first i simplify 1/2p to p/2, then subtract from both sides, multply both sides by 2, then regroup terms, and last switch sides