10. the measures of the bases of a
trapezoid are x2 – 19 and 10. the
measure of the midsegment is 8.
find the value of x.

The value of x is 2 .

Step-by-step explanation:

Given as :

The area of Trapezoid = x² unit²

The measure of base 1 = = - 19 unit

The measure of base 2 = = 10 unit

The height of the mid segment = 8 unit

Now, From the Area of Trapezoid

i.e Area = × (sum of opposite base) × height

Or, x² = × (19 + 10) × 8

Or,  x² = × (29)

Or, x² = 4 × (29)

Or,  x² = 116

∴ x =

I.e x = 2

Hence, The value of x is 2 . Answer

t = 3

step-by-step explanation:

put t = 3 in this expression :

(3²-1)(3²-2)(3² - 3)(3² - 4) = 8×7×6×5 = 56×30 = 1680

77

step-by-step explanation: