Answer:
Step-by-step explanation:
Not exactly sure what your question is - I am assuming that it is something like:
Show/prove that for any integer x, x^2 - x is even.
Suppose that x is an even integer. The product of an even integer and any other integer is always even (x = 2n, so x * y = 2 n * y which is even. Therefore x^2 is even. An even minus an even is even. (The definition of an even number is that it is divisible by 2 or has a factor of 2. So the difference of even numbers could be written as 2*( the difference of the two numbers divided by 2); therefore the difference is even)
Suppose that x is an odd integer. The product of 2 odd numbers is odd - each odd number can be written as the sum of an even number and 1; multiplying the even parts with each other and 1 will produce even; multiplying the 1's will produce 1, so the product can be written as the sum of an even number and 1 - which is an odd number. The difference between two odd numbers is even - the difference between the even parts is even (argument above), the difference between 1 and 1 is zero, so the result of the difference is even.
x^2 is therefore even if x is even and odd if x is odd; The difference x^2 - x is even by the arguments above.
It means the check has not been presented for payment , the check hasn't been cashed or deposited
To determine the lengths of the sides from shortest to longest, you need to calculate the corresponding angles. The higher angles will correspond to longer sides.
To find the angles, you have to solve for x. You’re already given that angle A is 76. To find the others, you know that angle C is 180-(16x+16) since it’s supplemental to the exterior angle. Then, you know the sum of the angles of the entire triangle is 180, so add up A, B, and C
A+B+C=180
76+6x+(180-16x-16)=180
240-10x=180
-10x=-60
x=6
So to find angle B, you use 6x or 6(6)=36.
To find angle C, you use 180-(16x-16) or 180-16(6)-16=68
So now match up the angles with their corresponding sides to find the length from shortest to longest.
Angle A (76) corresponds with BC
Angle B (36) corresponds with AC
Angle C (68) corresponds with AB
Again, the higher the degree, the longer the corresponding side, so AC is shortest, AB is next, and BC is the longest.
1. 70/5=14 —> Summer read 14 pages per day.
2. y=14x
56=14x
x=4
Summer took 4 days to read 56 pages.
Step-by-step explanation:
