Geometry: TX > Chapter 7: Properties of Special Parallelograms > Section Exercises 7.4 > Exercise 25 Find the lengths of the diagonals of rectangle WXYZ
WY = 6x - 7
XZ = 3x + 2
The length of each diagonal is units

√(45x²-72x+53)

Step-by-step explanation:

When you insert diagonals, two rightangled triangles are formed.

To find the length of the diagonals, we put the rectangles into pythagorus's theorem:

a²=b²+c²

a²=(6x-7)²+(3x+2)²

a²=36x²-84x+49 + 9x²+12x+4

a²=45x²-72x+53

a=√(45x²-72x+53)

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.

sine

step-by-step explanation: