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3 years ago

Find the length of chord QS 1)5 2)33 3)21 4)32

Mathematics

1 answer:

Harrizon [31]3 years ago

8 0

Answer:

Length of Chord QS = 33

Step-by-step explanation:

<u>Length of Chord QS</u>:

QW X WS = PW = WR

12(4x + 1) = 14(3x + 3)

48x + 12 = 42x + 42

48x - 42x = 42 - 12

6x = 30

x = $\frac{30}{6}$ = 5

∴ Length of Chord QS = 12 + 4(5) + 1 = 13 + 20 = 33

The intersecting chords theorem or just The chord theorem is a statement in elementary geometry that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal. Each chord is cut into two segments at the point of where they intersect. One chord is cut into two line segments A and B. The other into the segments C and D. This theorem states that A×B is always equal to C×D no matter where the chords are.

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mamaluj [8]

Answer:

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Step-by-step explanation:

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3 years ago

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MrRissso [65]

Answer:

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3 years ago

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Hope this helps!

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3 years ago

The rays OM , ON , and OP in the figure, coincide at time t=0. At the same instant of time OM and OP rotate in the plane about p

dangina [55]

Note:

Note that the shape is a circle(s), as they all will rotate until they coincide. However, they are rotating towards each other

Step-by-step explanation:

One is rotating at 3°, while the other is rotating at 6°. We do not need to both with ON, for the question is not asking for that segment.

A circle has 360° To solve this, we must know that "the other" must complete a circle and overtake the other one.

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Remember that one of the rays (the one that is faster), completes it's turn twice as fast. This means that you must solve for the mean:

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90 seconds will be used until one overtakes the other

~<em>Senpai</em>

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