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Answer:b
Step-by-step explanation:
14
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Rewritten by : Barada
The value of x is 7.5 , the closest integer to 7.5 is 8.
To find the value of \( x \), we'll use the properties of midsegments in triangles.
A midsegment of a triangle connects the midpoints of two sides of the triangle and is parallel to the third side.
It's also half the length of the third side.
Given that \( CB \) is the midsegment of triangle \( AYZ \), we can equate the length of \( CB \) to half the length of \( AZ \).
So, [tex]\( CB = \frac{1}{2} \times AZ \)[/tex].
Given AZ = 15 , we have:
[tex]\[ CB = \frac{1}{2} \times 15 = 7.5 \][/tex]
Now, CB = BY , and it's given that BY = x .
So, x = 7.5.
Therefore, the value of x is 7.5.
However, it seems like the answer choices are all integers.
We need to check the options to find the closest integer to 7.5.
The closest integer to 7.5 is 8.
So, the correct answer is D. 8
The probable question may be:
If CB is the midsegment of triangle AYZ, C is point on side AY and B is on side YZ, YB=x, AZ=15, BZ=2x-7 .find x.
A. 7
B. 14
C. 15
D. 8
