Question

find the value of u in parallelogram cdef.
c
u + 5
7u - 74
f
d
4u - 46
e
u =

Explanation:

Step1: Use property of parallelogram

In a parallelogram, opposite - sides are equal. Let's assume \(CD\) and \(EF\) are opposite sides. So, \(7u - 74=u + 5\).

Step2: Solve the equation for \(u\)

First, subtract \(u\) from both sides: \(7u - u-74=u - u + 5\), which simplifies to \(6u-74 = 5\).

Step3: Isolate the term with \(u\)

Add 74 to both sides: \(6u-74 + 74=5 + 74\), getting \(6u=79\).

Step4: Solve for \(u\)

Divide both sides by 6: \(u=\frac{79}{6}\). But if we assume \(DE\) and \(CF\) are opposite sides, then \(4u-46=u + 5\).

Step5: Solve the new - equation for \(u\)

Subtract \(u\) from both sides: \(4u - u-46=u - u + 5\), which gives \(3u-46 = 5\).

Step6: Isolate the term with \(u\)

Add 46 to both sides: \(3u-46 + 46=5 + 46\), so \(3u=51\).

Step7: Solve for \(u\)

Divide both sides by 3: \(u = 17\).

Answer:

\(u = 17\)