Answer: The length of BC is 7
Step-by-step explanation: Assuming the lengths of the opposite sides of the quadrilateral are congruent, then
AB=DC and
AD=BC
Inputting the values of AB, DC and AD as given in the question:
x + 8 = 3x ...(1)
x + 3=? ...(2)
We have to solve for the value of x to get the actual lengths and thus ascertain BD.
From equation (1):
8 = 3x - x
8 = 2x
8/2 = x
Therefore, x = 4.
If x = 4 then equation(2) would be
4 + 3= 7.
Hence, the actual lengths of the quadrilateral are:
AB = 4 + 8. DC = 3(4)
=12. =12.
AD = 4 + 3. AD = BC
= 7. Therefore, BC = 7.
Hence, it is confirmed that quadrilateral ABCD is a parallelogram since both the opposite sides are proven to be congruent.
Answer:
$0.90
Step-by-step explanation:
A 10-minute call exceeds the 3-minute initial period by 7 minutes. The initial period charge is 37¢. The additional minute charge is 7·9¢ = 63¢. Then the regular charge for that call is ...
37¢ +63¢ = 100¢ = $1.00
The 10% discount reduces the charge by ...
10% × $1.00 = $0.10
so the final cost of the 10-minute call is ...
$1.00 -0.10 = $0.90 . . . . . cost of the call
The number of ways of choosing 4 digits from 10 digits without replacement ( order is important) is 
. This is the number of all possible permutations of choosing 4 from 10. The first 4 numbers of your phone number is a unique 4 digit number(4 different digits). The required probability is
If they are in the same line yes. If they aren't then its considered non-collinear.
1. BC = 9 tan 45 = 9 ft
AC = 9 tan 60 = 9 sqrt(3) ft
AB = AC - BC = 9sqrt3 - 9 ft ~ 6.59 ft
2. G-Zoo = 200sqrt3 / tan 60 = 200 ft
G-Library = 200sqrt3 / tan 30 = 600 ft
Zoo-Library = G-Library - G-Zoo = 600 - 200 = 400 ft
