Find the length of the diagonals of the isosceles trapezoid if ac = x + 1 and db = 2x - 3

Isosceles trapezoid , diagonals are equal

AC = DB

x + 1 = 2x - 3

x = 4

So AC = DB = 4 + 1 = 5

The length of the diagonals = 5

Step-by-step explanation:

We know by given that side AD is equal to side BC.

Also, we know

and

Now, by definition, isosceles trapezoids have equal diagonals. So,

Then, we replace the value of the variable in each expression to find the length of each diagonal

Therefore, each diagonal has a length of 5 units.

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.