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Vedmedyk [2.9K]
2 years ago
6

I need help with these questions.

Mathematics
1 answer:
Ivanshal [37]2 years ago
7 0

Answer:

  • See below

Step-by-step explanation:

<h3>Q13</h3>

The greater the angle the greater the opposite side

<u>Sides in ascending order:</u>

  • AB = 17, AC = 18, BC = 21

<u>Angles in same order</u>

  • ∠C, ∠B, ∠A
<h3>Q14</h3>

<u>As above, sides in ascending order:</u>

  • AB = 15, AC = 16, BC = 17

<u>Angles in same order</u>

  • ∠C, ∠B, ∠A
<h3>Q15</h3>

<u>Exterior angle equals to sum of non-adjacent interior angles</u>

  • 142° = x + 66°
  • x = 142° - 66°
  • x = 76°
<h3>Q16</h3>

<u>Same subject and isosceles triangle:</u>

  • x + x = 158°
  • 2x = 158°
  • x = 79°
<h3>Q17</h3>

<u>Same subject</u>

  • m∠QSR = m∠QPS + m∠PQS
  • 2x = x + m∠PQS
  • m∠PQS = 2x - x
  • m∠PQS = x

ΔPQS has two angles with the measure of x, hence their opposite sides are congruent and the triangle is isosceles

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The length of the minute hand is 150% of the length of the hour hand. In 2 hours, how much farther does the tip of the minute ha
nekit [7.7K]

The question seems incomplete, as the length of the hour hand isn't given ;

If the tip of the hour hand is taken as 30mm

Answer:

534.1 mm

Step-by-step explanation:

In 2 hours ; cycle performed :

2/ 12

Circumference of a circle = 2 * pi *r

Circumference = 2 * pi * 30 = 60pi

Distance traveled : 60pi * 2/12 = 120pi/ 12 =10pi

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150% taller than short hand :

1.5 * 30 = 45 mm

Distance traveled : 2 (2 * pi * 45) = 180pi

(180pi - 10pi) = 170pi

170π = 534.07075

= 534.1 mm

7 0
3 years ago
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