Given the figure below, find the values of x and z.
1 answer:
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Answer:
CD = x = 4 units
Explanation:
We are given that the two triangles are similar. This means that we can set the similarity proportionality as follows:
W e have:
BC = 20 - x
AC = 20
CD = x
CE = 5
Substitute in the above proportionality and solve for x as follows:
4x = 20 - x
5x = 20
x = 4
Based on he above:
CD = 4 units
BC = 20 - x = 20 - 4 = 16 units
Hope this helps :)
CD = x = 4 units
Explanation:
We are given that the two triangles are similar. This means that we can set the similarity proportionality as follows:
W e have:
BC = 20 - x
AC = 20
CD = x
CE = 5
Substitute in the above proportionality and solve for x as follows:
4x = 20 - x
5x = 20
x = 4
Based on he above:
CD = 4 units
BC = 20 - x = 20 - 4 = 16 units
Hope this helps :)