Answer:
The length of the mid-segment of the trapezoid = 7
==================================================
Step-by-step explanation:
The mid-segment of a trapezoid is the segment that connecting the midpoints of the two non-parallel sides.
As shown in the figure the two non-parallel sides are AB and CD
∴ The mid-segment of the trapezoid =
From the figure: BC = 8 and AD = 6
∴ The mid-segment of the trapezoid =
The solution to the expressions given are;
9 -9t/ 12 - 5t
a. 20/ 169
b. -170/ 169
c. 386/ 169
d. -10/ 169
<h3>How to solve the expressions</h3>Given:
We can see that both variables in the numerator and denominator have no common factor, thus cannot be factorized further
a.
First, let's find the lowest common multiple
LCM = 169
=
=
= 20/ 169
b.
The lowest common multiple is 119
=
substract the numerator
= - 170/ 119
c.
The lowest common multiple is 169
=
= 386/ 169
d.
The lowest common multiple is 169
=
= - 10/ 169
Thus, we have the solutions to be 9 -9t/ 12 - 5t, 20/ 169, -170/ 169, 386/ 169, -10/ 169 respectively.
Learn more about LCM here:
#SPJ1
