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andrew11 [14]
3 years ago
8

The sum of two numbers is 200 and the two numbers are in a ratio of 4:6 find the larger number

Mathematics
1 answer:
devlian [24]3 years ago
3 0
X = 1st number
y = 2nd number

x + y = 200
x : y = 4 : 6

ok! let's substitute numbers!

4 * 10 : 6 * 10

40 : 60

40 + 60 = 200

100 ≠ 200

Too small!

That is exactly two times smaller than 200 so let's try 2 times greater than multiplying by 10

4 * 20 : 6 * 20
80 : 120

80 + 120 = 200

200 = 200

Now it says to find the larger number. Which is y.

x :y = 4 : 6 = 80 : 120

so, y is 120

y = 120

Answer : y = 120. The larger number is 120.
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6 0
4 years ago
Parallel maze puzzle
Kryger [21]

Answers:

  1. d) vertical
  2. c) alternate interior
  3. f) supplementary
  4. e) alternate exterior
  5. g) corresponding
  6. e) alternate exterior
  7. f) supplementary
  8. c) alternate interior
  9. e) alternate exterior

Letters 'a', b, and h are never used.

Letters c and f show up twice each; e shows up 3 times.

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

Explanations:

  1. Angles 1 and 2 are vertical angles because they are opposite one another in this X configuration. Vertical angles are always congruent.
  2. These angles are alternate interior angles because they are inside the parallel lines (hence the "interior") and they are on alternating sides of the transversal cut.
  3. The two angles shown here form a straight line, so that's what makes them supplementary. Supplementary angles add to 180 degrees.
  4. Angle 4 and angle 5 are on alternating sides of the transversal, but this time they are outside the parallel lines. So that's why we go for alternate exterior this time.
  5. Angles 5 and 6 are in the same southwest corner of each four-corner configuration, which makes them corresponding angles.
  6. It's the same idea as problem 4
  7. Same idea as problem 3.
  8. Same idea as problem 2.
  9. Same idea as problems 4 and 6.

---------------

None of the angle pairs mentioned are consecutive interior angles. These types of angles are on the same side of the transversal, and inside the parallel lines. So we never use option 'a'. We cross off option h as well for pretty much identical reasoning. Options 'a' and h are the same thing, just slightly different wording.

We cross off option b as well because none of the angles add up to 90 degrees.

6 0
3 years ago
Does anyone know ? I will really appreciate it
Ghella [55]

Answer:

I'm pretty sure that's neither

Step-by-step explanation:

parallel would be side by side and perpendicular would be intersecting

5 0
3 years ago
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The area under the normal curve between z = 0 and z = 1 is __________ the area under the normal curve between z = 1 and z = 2.
Lena [83]

Answer:

greater than

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7 0
2 years ago
What is the reciprocal of 5/6​
mestny [16]

Answer:

-6/5

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