Answer:
(a)80 feet
(b)$120,000
Step-by-step explanation:
<u>Part A</u>
<u>Intersecting Secant-Tangent Theorem</u>
If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.
In the attached diagram, the theorem applied is:

Comparing with our diagram:
|AX|=30 feet
|UX|=10 feet
Length of the Bridge,L
Therefore:

900=10(L+10)
L+10=900/10
L+10=90
L=90-10=80 feet
Length of the Bridge=80 feet
<u>Part B</u>
If each foot costs $1500
Cost of the bridge=$1500*80=$120,000
Answer:
the answer is second one 14
Answer:
16 possible outcomes
Step-by-step explanation:
Every time you toss a coin, there are two possibilities H or T. As one coin is tossed four times, each toss is independent of other. If we note down four outcomes of four tosses then there will be 2^4 = 16 possible outcomes.
Answer: (c)
Step-by-step explanation:
In the given figure, two triangles are similar namely
and 
For similar triangles, the ratio of the corresponding sides are equal.
For option (a), Hypotenuse to Perpendicular ratio is given, that is correct
Similarly for option (b), Perpendicular to hypotenuse ratio is given
Both option (a) and (b) gives the same value of
that is,

Option (c) does not give the correct value of 
The two options you picked are indeed correct.