1) Use the Euclidean Algorithm to nd the greatest common divisor of 71407 and 2020. (Write down all of the steps, so that you are ready).
2) Use the method of back substitution to nd integers x; y such that 71407x + 2020y = d, where d = gcd(71 407, 2020).
3) Use the array method to solve the equation in (b).
4) Explain, why there is no solution in integer numbers of the equation 71407x + 2020y = 1?

Step-by-step explanation:

We have

So we find GCD = 1

2) By back substitution we get

71407 (543) - 19387(2000) =1

So x = 543 and y = -19387

Because we got 71407 (543) - 19387(2000) =1

y cannot be positive

y can only be negative

x = 25

step-by-step explanation:

a^2+b^2=c^2

7^2+24^2=c^2

49+576=625

sqrt625=25

x=25

so a parallelogram is just like a square base times height. multiply 40 and 39 to get 1560 inches.

a triangle is base times height divided by two. so multiply 7.9 and 5 and then divide it by 2 to get 19.75inches.

the kite can be split into two separate triangles and added together to get the total area. 30 x 4 /2 which equals 60. make sure to double it for the two triangles making 120.