Answer:
25.24
Step-by-step explanation:
Distance from Campbell to Summerfield
S(Campbell)+S(Westminister)+S(Princeton)+S(Summerfield)=Distance from Campbell to Summerfield.
9.52mi+4.64mi+10.08mi=25.24mi
Hope this helps :) ❤❤❤
Answer:
5,040 different passwords are possible
Step-by-step explanation:
Assuming that 4-digit means using only numeric values.
This is a permutations problem.
n = number of values used with number values only this is 10
r = the number used in each case without repeating in this case 4
nPr = n! / (n - r)!
nPr = 10! / (10-4)!
nPr = 10! / 6!
The ! means factorial. For example 4! = 4 x 3 x 2 x 1 = 24
A quick hack for dividing factorials is to use cancelling.
10! / 6! = 10 x 9 x 8 x 7 (because 6 to 1 are cancelled by 6!)
= 5040
The answer is sqrt17 or 4.123
Let us prove that angle 1 is complementary to angle 3 step by step.
1. We have been given that angle 1 is complementary to angle 2.
2. Since we know that complementary angles add up to 90 degrees, therefore, by the definition of complementary
.
3. We have been also given that line segment BD bisects
.
4. By the definition of bisect
.
5. Angles are congruent if their measures, in degrees, are equal, therefore, by angle congruence postulate
.
6. 
Upon substituting
in above equation we will get,
Therefore, by substitution property of equality
.
Hence, proven that angle 1 is complementary to angle 3.