Ineed to turn this in
scrapbook, you cut a picture into a right triangle for your scrapbook, the lengths of the lago of the triangle are 4 inches and 6 inches is the length of the hypotenuse a rational number

The question is:

Is the length of the hypotenuse a rational number?

No the hypotenuse is not a rational number.

Step-by-step explanation:

We have been given a right angled triangle.

Where the base and perpendicular lengths were given.

Let the base be inches and the perpendicular be inches.

From Pythagoras theorem :

The hypotenuse (h)

Plugging the values to find the hypotenuse.

Note:If a square root is not a perfect square, then it is considered an irrational number.

And so it is not a perfect square as it has decimals and its an irrational number.

The length of the hypotenuse is not a rational number instead its an irrational term.

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1