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s2008m [1.1K]
3 years ago
13

PLEASE HELP ASAP!!!!!

Mathematics
1 answer:
Allushta [10]3 years ago
7 0

Answer:

angle ZXY= 5x+8 = 5(13)+8 =73

angle ZXW= 7x-4= 7(13)-4=91-4=87 degrees

it is a

Step-by-step explanation:

add two angles together = 160

5x+8+7x-4=160

12x+4=160

12 x =160-4

x=156/12= 13

angle ZXY= 5x+8 = 5(13)+8 =73

angle ZXW= 7x-4= 7(13)-4=91-4=87 degrees

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\huge{\underline{\boxed{\tt{Answer:}}}}

Let AB be a chord of the given circle with centre and radius 13 cm.

Then, OA = 13 cm and ab = 10 cm

From O, draw OL⊥ AB

We know that the perpendicular from the centre of a circle to a chord bisects the chord.

∴ AL = ½AB = (½ × 10)cm = 5 cm

From the right △OLA, we have

OA² = OL² + AL²

==> OL² = OA² – AL²

==> [(13)² – (5)²] cm² = 144cm²

==> OL = √144cm = 12 cm

Hence, the distance of the chord from the centre is 12 cm.

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