The answer would be <QRZ
Since you are looking for an angle congruent to <UQR using the alternate interior angles theorem, interior suggests that the angle must be inside the parallel lines, se we can get rid of options <WRT and <TRZ since they are exterior angles
Furthermore, in the alternate interior angles theorem, the two angles must be alternate or opposite of each other which would show that the only possible answer would be <QRZ
hope this helped!
Step 1. identify the length of both bases
Step 2. Add the lengths of the bases
Step 3. Identify the height of the trapezoids
Step 4. Multiply the sum of the lengths of the bases by the height.
Step 5. Divide the results by two and then theres your answer.
I willing to help and try to answer the question the best I can.
Answer:
shortest side = 15
Step-by-step explanation:
The question is a bit ambiguous. Do you mean (3/4) x or do you mean 3/(4x)?
I'll take it to be the first one.
(x + 3) + 4(x - 13) + (3/4)x = 3x + 6 Remove the brackets on the left
x + 3 + 4x - 52 + 0.75 x = 3x + 6 Combine
5.75x - 49 = 3x + 6 Subtract 3x from both sides.
2.75x - 49 = 6 Add 49 to both sides
2.75x = 55 Divide by 2.75
x = 55/ 2.75
x = 20
Now for the shortest side
x + 3 = 23
4(x - 13) = 4(20 - 13) = 4*7 = 28
(3/4)*20 = 15
The shortest side = 15