No, xy = yx is not distributive property, Hope this helps
Step-by-step explanation:
Let Angle C be x
So angle B will be 5x
Since they both are complementary, we can come up with this equation.
x+5x=90 degrees
6x=90 degrees
x=90/6,x=15
Measures of Angles
Angle C=x=15 degrees
Angle B=5x=5*15=75 degrees
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Answer:
Given:
In Rhombus QRST, diagonals QS and RT intersect at W and U∈QR and point V∈RT such that UV⊥QR. (shown in below diagram)
To prove: QW•UR =WT•UV
Proof:
In a rhombus diagonals bisect perpendicularly,
Thus, in QRST
QW≅WS, WR ≅ WT and m∠QWR=m∠QWT=m∠RWS=m∠TWS=90°.
In triangles QWR and UVR,
(Right angles)
(Common angles)
By AA similarity postulate,

The corresponding sides in similar triangles are in same proportion,


(∵ WR ≅ WT )
Hence, proved.