Mathematics: 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.

Can only see table D, but D is a relation, but not a function because there are multiple y values for the same x value....

10. the measures of the bases of a trapezoid are

sydneydavis57

13.01.2022

The value of x is 2 $\sqrt{29}$ .

Step-by-step explanation:

Given as :

The area of Trapezoid = x² unit²

The measure of base 1 = b_1 = - 19 unit

The measure of base 2 = b_2 = 10 unit

The height of the mid segment = 8 unit

Now, From the Area of Trapezoid

i.e Area = $\dfrac{1}{2}$ × (sum of opposite base) × height

Or, x² = $\dfrac{1}{2}$ × (19 + 10) × 8

Or, x² = $\dfrac{8}{2}$ × (29)

Or, x² = 4 × (29)

Or, x² = 116

∴ x = $\sqrt{116}$

I.e x = 2 $\sqrt{29}$

Hence, The value of x is 2 $\sqrt{29}$ . Answer

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