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FromTheMoon [43]
2 years ago
13

The sum of the number is 103.the second number is 4 times the third.the third number is 5 more then the first .what are the numb

ers ?
Mathematics
1 answer:
Zigmanuir [339]2 years ago
4 0

Answer:

13, 18, 72

Step-by-step explanation:

let x-5 represent the first number, since the first number is 5 less than the third number. let x represent the third number. let 4x represent the third number, since it's four times greater than the third number.

set up an equation, and make it equal to 103:

x-5+x+4x=103

solve:

6x-5=103

6x=108

x=18

so, the third number is 18.

the first number is equal to x-5, so:

18-5=13

the second number is equal to 4x, so:

4(18)=72

so, the three numbers are 13, 18, and 72.

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zaharov [31]
Equation : (7x-4)+(3x-3)+(x) = 180
In the equation the sum of the internal angle in the triangle is 180 degrees. Use this equation to figure the sum of angle in any quadrilateral 180*(number of sides-2)
Solve the equation
Put all similar variable on one side
7x+3x+x-4-3=180
11x-7=180
11x=180+7
11x=187
x = 187/11
x = 17
Now find the angles by plugging in x
Angle F (7*17-4) = 115 degrees
Angle G (x) = 17 degrees
Angle E (3*17-3) = 48 degrees
If you add 115+48+17 you will get a sum of 180 this shows your answer is right


Angle F = 115
Angle G = 17
Angle E = 48
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Compute the permutations and combinations.<br><br> 4 P 4<br><br> 1<br> 4<br> 24
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The answer is a.
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3 years ago
Which undefined term is used to define an angle ?
enyata [817]

Point.

<h3>Further explanation</h3>
  • This is one of the classic problems of Euclidean geometry.
  • The angle is determined by three points, we call it A, B, C, with A ≠ C and B ≠ C.  
  • We express an angle with three points and a symbol ∠. The middle point represents constantly vertex. We can, besides, give angle names only with vertices. For example, based on the accompanying image, the angle can be symbolized as ∠BAC, or ∠CAB, or ∠A.  

Types of Angles  

  • The acute angle represents an angle whose measure is greater than 0° and less than 90°.
  • The right angle is an angle that measures 90° precisely.  
  • The obtuse angle represents an angle whose measures greater than 90° and less than 180°.  
  • The straight angle is a line that goes infinitely in both directions and measures 180°. Carefully differentiate from rays that only runs in one direction.

<u>Note:</u>

Undefined terms are the basic figure that is undefined in terms of other figures. The undefined terms (or primitive terms) in geometry are a point, line, and plane.

These key terms cannot be mathematically defined using other known words.

  • A point represents a location and has no dimension (size). It is marked with a capital letter and a dot.
  • A line represent an infinite number of points extending in opposite directions that have only one dimension. It has one dimension. It is a straight path and no thickness.
  • A plane represents a planar surface that contains many points and lines. A plane extends infinitely in all four directions. It is two-dimensional. Three noncollinear points determine a plane, as there is exactly one plane that can go through these points.  
<h3>Learn more   </h3>
  1. Undefined terms are implemented to define a ray brainly.com/question/1087090
  2. Definition of the line segment brainly.com/question/909890  
  3. What are three collinear points on a line? brainly.com/question/5795008  

Keywords: the definition of an angle, the undefined term, line, point, line, plane, ray, endpoint, acute, obtuse, right, straight, Euclidean geometry

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