Mathematical Connections Abby notices that for the first twenty perfect squares, each square is either a multiple of 5, one less than a multiple of 5, or one more than a multiple of 5. 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 She writes the following statement. If n is a natural number, then n2 can be written as 5k - 1,5k, or 5k + 1, where k is a whole number. What type of statement did Abby make? Has she shown that her statement is true for all values of n?

step-by-step explanation:

a rhombus is a parallelogram enjoying his symmetry.

answer: 2530

hope this

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.