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Sagot :
Answer:
The value of x = 27
Step-by-step explanation:
Given:
48x² : 64x⁴ ::: x : 36x²
Find:
The value of x
Computation:
(a)(d) = (b)(c)
(48x²)(36x²) = (64x⁴)(x)
(1,728x⁴) = (64x⁵)
x = 27
The value of x = 27
Following are the solution to the given expression:
Given:
[tex]\to 48x^2 : 64x^4 :: x : 36x^2[/tex]
To Find:
x=?
Solution:
[tex]\to 48x^2 : 64x^4 :: x : 36x^2[/tex]
[tex]\to \frac{48x^2}{ 64x^4} =\frac{ x}{ 36x^2}\\\\[/tex]
cross multiply:
[tex]\to \frac{48x^2 \times 36x^2}{ 64x^4} =x\\\\\to x= \frac{48x^2 \times 36x^2}{ 64x^4} \\\\\to x= \frac{48 \times 36}{ 64} \\\\\to x= \frac{6 \times 9}{ 2} \\\\\to x= 3 \times 9\\\\\to x=27[/tex]
Therefore, the answer is "27".
Learn more:
brainly.com/question/12149603
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