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Ierofanga [76]
3 years ago
9

A man walked north 119 feet and then west 120 feet. Find the shortest distance between the start and end points.​

Mathematics
1 answer:
PIT_PIT [208]3 years ago
5 0

Answer:

169 feet

Step-by-step explanation:

(see attached)

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Can someone help me immediately on this question having to do with triangle ABC?
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<h3>Answers:</h3><h3>a. Vertices of triangle ABC are: A, B, C</h3><h3>b. Sides of triangle ABC are: AB, BC, AC</h3><h3>c. The side between angle A and angle C is: side AC</h3><h3>d. The angle between sides AB and CA is: angle A</h3><h3>e. Scalene triangle</h3>

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Explanations:

  • a. Each uppercase letter represents a point or angle of the triangle.
  • b. Connect two points of a triangle and you get a line segment. The order of the letters does not matter. So AB is the same as BA.
  • c. Like with part b, connecting two angles or points forms a segment.
  • d. Note how the letter "A" is in both AB and CA, so this is the shared angle between the two segments.
  • e. Sides AB, BC, and AC are all different lengths, so we have a scalene triangle. If you had two sides equal to each other, then you'd have an isosceles triangle. If all three sides are equal, then it would be equilateral.

There is no need for a diagram, but if you want, you can draw one out. See the attached image below for the diagram. This diagram should hopefully answer any questions you may have about the explanations above. There are many ways to draw the triangle, so your diagram might look different from mine.

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Please help me for 30 points
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Answer: 1D, 2E, 3B, 4A, 5C

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First, eliminate choices that cannot go together.

The "greater than" and "less than" symbols, represented by > and <, are used to show that a number is greater than another set of numbers, but not equal to the set of numbers.

The "greater than or equal to" and "less than or equal to" symbols, represented by ≥ and ≤, are used to show that a number can also be equal to a set of numbers.

On the number line, open dots are used to represent > and <.

Closed dots are used to represent  ≥ and ≤.

Using this, C, D, and E must match with 1, 2, and 5.

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4m ≥ 32

Divide both sides by 4 to simplify m:

m ≥ 8 - This is used to show that m is greater than or equal to 8.

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This means that 4 matches to A, because it is the only other option with a closed dot.

Looking at 1 (x - 5 < 2), we can simplify it very easily by adding 5 to both sides of the inequality:

x < 7 - This is used to show that x is less than 7.

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Looking at 2 (m + 24 > 20), we can do this the same way. Subtract 24 from both sides to get:

m > -4 - This is used to show that m is greater than negative 4.

This lines up with choice E: The line starts at greater than 4 and goes to positive infinity.

The last choice, choice 5, must match with choice C.

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