What number has 1 ten thousand, the same number of thousands as ten thousands, 8 more hundreds than thousands, 6 fewer tens than hundreds, and the same number of
ones as ten thousands?

11931.

Step-by-step explanation:

It is given that a number has 1 ten thousand.

The same number of thousands as ten thousands.

Number of thousands = 1

8 more hundreds than thousands.

Number of hundreds = 1+8=9

6 fewer tens than hundreds.

Number of tens = 9-6=3

The same number of  ones as ten thousands.

Number of ones = 1

So, the required number is

Number = 1 ten thousand + 1 thousand + 9 hundreds + 3 tens + 1 ones

Therefore, the required number is 11931.

a) T(3,0)

b) |CT|=2.83

c) |DT|=4.47

Step-by-step explanation:

The given parallelogram CARD has vertices (5, -2), (-1, -2), (1, 2), and (7, 2)

The diagonals of a parallelogram bisect each other.

Find the midpoint of one diagonal, that gives us the point of intersection of the diagonals T.

The midpoint of C(5,-2) and (1,2) is

b) To find the length of CT, we use the distance formula; where C(5,-2) ahd T(3,0).

The length of CT is 2.83 to the nearest hundredth

c) To find the length of DT, we use the distance formula; where D(7,2) ahd T(3,0).

The length of DT is 4.47 to the nearest hundredth