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2 years ago

What is the value of q? A.) 8.25 B.) 8.8 C.) 16.5 D.) 4.4

Mathematics

2 answers:

Valentin [98]2 years ago

6 0

B is the value of q because you add the 4.4 and the 4.4 which u get 8.8

nydimaria [60]2 years ago

4 0

Answer:

Measure of CD is also 16.5 units

Step-by-step explanation:

Given the figure in which distance from centre to chord is 4.4 units

we have to find the value of q

As radius from centre to the chord perpendicularly bisect the chord

⇒ $AB=2AE=2(8.25)=16.5$

From the figure, it can be seen that the distance from center to the chord is equal that is in measure.

∴ Using the property that if the distance from the center to the chord is equal, then the chords are always in equal in measure.

As measure of AB is 16.5

⇒ Measure of CD is also 16.5 units

Hence, option (C) is correct.

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Required

Compare both areas

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$Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|$

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Remove absolute signs

$Area = \frac{1}{2}*10$

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For LMN, we have:

$Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|$

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<em>By comparing both areas, we can conclude that LMN has a larger area</em>

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