Answer:
hello :
note : 1²+2²+3²+........+n² = n(n+1)(n+2)/6
Step-by-step explanation:
let : S = 1²+2²+3²+......+25²
A = 16²+17²+18²+...+25²
B = 1²+2²+3²+......+15²
S = (1²+2²+3²+....+15²) + (16²+17²+18²+...+25²)
calculate : S for : n = 25
S = 25(26)(27)/6 = 2925
calculate : B for : n = 15
B = 15(16)(17)/6 = 680
so : S = B + A
A = S - B = 2925 - 680 = 2245
Answer:
Each of the legs of isosceles right triangle is 5
Step-by-step explanation:
Watch the attached figure for the isosceles right angled triangle
Looking at the figure we see that AB=5√6 and BC=CA
According to the Pythagorean theorem the square of the hypotenuse is equal to the sum of the squares of the other two sides of a right triangle.
1) Applying the Pythagorean theorem to the isosceles right triangle, we have

2) Let BC=a and CA=a as they both are equal
So,

=> 
=> 
=>
(since √6*√6 = (√6)²= 6)
=> 
3) Dividing both sides by 2, we get

4) Cancelling out the 2's on the left, we get
= 75
5) Taking the square root on both sides, we have

=> a = 5
So,
Each of the legs of isosceles right triangle is 5
Answer:
B
1:3
Step-by-step explanation:
4:12
simplify
divide both by 4
1:3
Answer:
QR
Step-by-step explanation:
K<u>LM</u>N is in the same spot as P<u>QR</u>S