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padilas [110]
2 years ago
13

One positive number is one-fifth of another number. The difference between the two numbers is 144, find the numbers.

Mathematics
1 answer:
liubo4ka [24]2 years ago
7 0

Answer:

36, 180

Step-by-step explanation:

x = y/5, so y = 5x

y - x = 144

5x - x = 144

4x = 144

x = 144/4 = 36

y = 5x = 5*36 = 180

The two numbers are 36 and 180

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Answers:

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  4. Angles B and C
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  8. Angle A
  9. Angle B
  10. Angles E and F

=====================================

Explanation:

  1. Skipping
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  3. Corresponding angles are ones where they are in the same configuration of the 4 corner angle set up. Angles A and E are in the same northwest position. Another pair would be angles B and F in the northeast, and so on. Corresponding angles are congruent when we have parallel lines like this.
  4. Vertical angles form when we cross two lines. They are opposite one another and always congruent (regardless if the lines are parallel or not).
  5. Alternate interior angles are inside the parallel lines, and they are on alternating sides of the transversal cut. Alternate interior angles are congruent when we have parallel lines like this.
  6. Alternate exterior angles are the same idea as number 5, but now we're outside the parallel lines. Alternate exterior angles are congruent when we have parallel lines like this.
  7. Adjacent angles can be thought of as two rooms that share the same wall. Specifically, adjacent angles are two angles that share the same segment, line, or ray. The angles must also share the same vertex. In this case, any pair of adjacent angles always adds to 180 (though it won't be true for any random pair of adjacent angles for geometry problems later on).
  8. Simply list any angle that looks obtuse, ie any angle that is larger than 90 degrees.
  9. List any angle that is smaller than 90 degrees. It can be adjacent to whatever you picked for problem 8, but it could be any other acute angle as well.
  10. Refer to problem 7. In this case, adding any two adjacent angles together forms a straight line.
7 0
3 years ago
What is the length of the radius of a circle with a center at 2 + 3i and a point on the circle at 7 + 2i?
dem82 [27]
You can calculate the difference/vector of both points:
7+2i-(2+3i)=5-i
then calculate the magnitude/length like pythagoras
radius=\sqrt{5^2+(-i*-i)}\\=\sqrt{5^2+i^2}\\=\sqrt{5^2-1}\\=\sqrt{24}\\=\sqrt{4*6}\\=2*\sqrt{6}
7 0
3 years ago
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Answer:

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Step-by-step explanation:

Tangent can be expressed as opposite/adjacent. So, create a right triangle with one leg = 24 and the other = 45. The hypotenuse is 51 by the Pythagorean theorem. Cosine is adjacent/hypotenuse, so it would be 45/51.

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