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2 years ago

Please find the value of x in the figure

Mathematics

1 answer:

notka56 [123]2 years ago

8 0

Answer:

Step-by-step explanation:

E is the midpoint of Ac & D is the midpoint of AB

DE = (1/2)BC {Midpoint theorem}

$x +1 = \dfrac{1}{2}(4x - 6)\\\\\\
Multiply \ the \ whole \ equation \ by 2\\\\
2*(x+1) =2*\dfrac{1}{2}*(4x - 6)$

2*x + 2*1 = 4x - 6

2x + 2 = 4x - 6

Add 6 to both sides

2x + 2 + 6 = 4x

2x + 8 = 4x

Subtract 2x from both sides

8 = 4x - 2x

2x = 8

Divide both sides by 2

x = 8/2

x = 4

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3 years ago

A is directly proportional to b. When a is 6, b is 72. Find b when a is 8. 3

adelina 88 [10]

Answer:

a) "K" is proportional Constant K= 0.0833

b) The value of b = 99.639

Step-by-step explanation:

Explanation :-

Given 'a' is directly proportional to 'b'

a ∝ b

a = k b ....(i)

where "K" is proportional Constant

Case(i):-

when a =6 and b=72

a = k b

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Case(ii):-

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⇒ $b = \frac{8.3}{0.0833} = 99.639$

Final answer:-

a)"K" is proportional Constant K= 0.0833

b) The value of b = 99.639

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