A kite is a quadrilateral which has 2 sides next to each other that are congruent and where the other 2 sides are also congruent
1 answer:
Answer:
Step-by-step explanation:
Given: Kite WXYZ
Prove: That at least one of the diagonals of a kite decomposes the kite into 2 congruent triangles.
A diagonal is a straight line from one vertex to another of a given shape or figure.
Considering diagonal WY of the kite,
<WYZ ≅ <WYX (diagonal WY is the bisector of <Y)
<ZWY ≅ <XWY (diagonal YW is the bisector of <W)
WZ ≅ WX (congruent property)
YZ ≅ YX (congruent property)
Thus,
ΔWYZ ≅ ΔWYX (Angle-side-Angle congruent property)
Therefore, the given kite can be decompose into 2 congruent triangles (ΔWYZ and ΔWYX).
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Answer:
54 cents
Step-by-step explanation:
The cost of bookmarks relating to the number of bookmarks is given by the graph shown. Therefore:
From the graph, we can determine the relationship between the cost of bookmarks and the number of bookmarks by using two points. The equation of a line passing through points is:
From the graph, y represents the cost of bookmarks in cents and x represent the number of bookmarks. we can see that it passes through the point (2, 30) and (7, 90). Hence:
The cost of 4 bookmarks (x = 4):
y = 12(4) + 6
y = 54 cents
