This is a right triangle, so AC is a hypotenuse.
The other angles are each 45 degrees, so the legs AB and BC are equal length.
a^2 + b^2 = c^2
a = b
2a^2 = (5sqrt2)^2 = 50
a^2 = 25
a = 5
Answer: 5
Answer:
Except k=7, any real number for k would cause the system of equations to have no solution.
Step-by-step explanation:
In general a system of equations can be represented as ax+by=c and dx+ey=f. In order this system of equations to have NO SOLUTIONS a/d=b/a≠c/f. In our example a=6, b=4, c=14, d=3, e=2 and f=k. To apply the formula above, 6/3=4/2≠14/k. Hence k≠7. It can be concluded that except k=7, any real number for k would cause the system of equations to have no solutions.
Just for information, if k=7 the system will have infinitely many solutions.
Answer:
a
Step-by-step explanation:
Answer:

Step By Step Explanation:
Area Of Rhombus: 
Identify 'p'
5 + 5 = 10
p = 10
Identify 'q'
10 + 10 = 20
q = 20


➤ 
Answer:
Since Her goal is to earn $ 300 , but now she is earning only $270 ,Hence Celia will not achieve her goal .
Step-by-step explanation:
Given as :
The cost of each calendar = $ 9
The number of calendar sold to the family = 16
The number of calendar sold to the neighborhood = 14
So, Total number of calendar sold by Celia = The number of calendar sold to the family + The number of calendar sold to the neighborhood
i.e Total number of calendar sold by Celia = 16 + 14 = 30
∵ The cost of each calendar = $ 9
∴ The cost of 30 calendar = $ 9 × 30 = $ 270
Since Her goal is to earn $ 300 , but now she is earning only $270 ,Hence Celia will not achieve her goal . Answer