Answer:
Given the information provided, we can solve for the missing values using the properties of chords intersecting inside a circle. Let’s break it down:
For the first scenario with (HZ = 16.8), (HW = 35), and (HX = 14):
We can use the intersecting chord theorem, which states that the product of the segments of one chord is equal to the product of the segments of the other chord.
Using this theorem, we have: [HZ \cdot HW = HX \cdot HY]
Substituting the given values: [16.8 \cdot 35 = 14 \cdot HY]
Solving for (HY): [HY = \frac{{14}}{{16.8 \cdot 35}} = 42]
Therefore, (HY = 42).
For the second scenario with (VM = 18), (VJ = 9), and (VK = 45):
Similarly, we can use the intersecting chord theorem to find the missing value (MN): [VM \cdot VJ = VK \cdot VN]
Substituting the given values: [18 \cdot 9 = 45 \cdot MN]
Solving for (MN): [MN = \frac{{45}}{{18 \cdot 9}} = 3.6]
Therefore, (MN = 3.6).
Brainliest Please!!!
