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weeeeeb [17]
2 years ago
7

What is the distance between -7.5 and -15.3 on a number line

Mathematics
1 answer:
timama [110]2 years ago
8 0
Okay. To find the distance apart from each other, subtract 15.3 and 7.5. When you do that, you should get 7.8. -7.5 and -15.3 are 7.8 units away on a number line.
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The measures of a triangle are in the ratio 2:3:5. what are the measures of the angles?
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Answer:

  36°, 54°, 90°

Step-by-step explanation:

We have to assume that the given measures are <em>angle</em> ratios, not <em>side</em> ratios. Sides in the ratios 2:3:5 will not form a triangle.

For some multiplier x, the angle values will total 180°.

  2x +3x +5x = 180

  x = 180/(2+3+5) = 18

Then the angle measures are ...

  2x° = 2·18° = 36°

  3x° = 3·18° = 54°

  5x° = 5·18° = 90°

The angle measures are 36°, 54°, and 90°.

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*****50 POINTSSSS*****
defon

Answer:

<h3>Given</h3>
  • m∠REG = 78°
  • mAR = 46°
  • ER ≅ GA
<h3>Solution</h3>
  • m∠GAR = 180° - m∠REG = 180° - 78° = 102° (supplementary angles sum to 180°)
  • m∠TAR = 1/2mAR = 1/2(46°) = 23°   (tangent chord angle is half the size of intercepted arc)
  • m∠GAN = 180° - (m∠TAR + m∠GAR) = 180° - (23° + 102°) = 55° (straight angle is 180°)
  • mAG = 2m∠GAN = 2(55°) = 110°
  • mRE = mAG = 110° (as ER ≅ GA)
  • mGE = 360° - (mAG + mAR + mRE) = 360° - (110° + 46° + 110°) = 94° (full circle is 360°)
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The scale of a model is 0.5in : 6 ft. find the length of the model for an actual length of 204 ft
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Answer:

17 in

Step-by-step explanation:

.5 in : 6 ft

204/6 x .5 = 17

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