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Anit [1.1K]
2 years ago
11

Solve for X. Show your work 2(3x - 5) = 4x + 5

Mathematics
2 answers:
scoray [572]2 years ago
7 0

2(3x - 5) = 4x + 5

6x - 10 = 4x + 5

6x - 4x = 5 + 10

2x = 15 / : 2

x = 7,5 ← the end

Viefleur [7K]2 years ago
4 0

Answer:

x =  \frac{15}{2}

Step-by-step explanation:

2(3x - 5) = 4x + 5

6x - 10 = 4x + 5

6x  - 10 - 4x = 5

6x - 4x = 5 + 10

2x = 5 + 10

2x = 15

x =  \frac{15}{2}

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\bold{\huge{\underline{ Solution\: 2 }}}

  • The name of the circle is <u>IJKL</u>
  • The name of central Angle
  • \sf{\underline{= {\angle} IHJ }}
  • The name of the secant = <u>KL</u>

{\bigstar}Circle :- It is a round figures, which has no end points.

{\bigstar} Central angle :- It the angle ,which lie in the middle of the circle.

  • Here, H is the mid point of the circle .So, Angle IHJ is the central angle.

{\bigstar} Secant :- A line drawn in circle in such a way that it intersect the circle from two distinct points. Then, It is called secant .

  • Here, KL is the line which acts as a secant because it intersect the circle from point K and point L.

\bold{\huge{\underline{ Solution\: 3 }}}

  • Semicircle = FGH and FIH
  • Minor Arc :- FG or GH
  • Major Arc :- FHG or GFH

{\bigstar} Semicircle :- Semicircle is nothing but the half of the circle.

<u>Here</u><u>, </u><u>In </u><u>second </u><u>diagram </u>

  • FGH and FIH are acting as two semicircles which simulatineously forming one circle.

{\bigstar} Minor Arc :- Minor Arc is nothing but the smaller arc of the circle and it is always smaller than the half of the circle that is semicircle.

<u>Here</u><u>, </u>

  • FG or GH are the minor arc of the given circle.

{\bigstar} Major Arc :- Major Arc is nothing but the largest arc of the circle and it is always larger than the half of the circle that is semicircle.

<u>Here</u><u>, </u>

  • FHG or GFH is the major arc as it is larger than the semicircle of the given circle .
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6. What percentage of the children in class 5 is a member of a sports club? 3
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Step-by-step explanation:

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x% of 20 = 15

x/100 x 20 = 15

x/5 = 15

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