its d, I just solved it...
Answer:
x > - 4
Step-by-step explanation:
Given
7(x + 4) > 0 ← distribute left side
7x + 28 > 0 ( subtract 28 from both sides )
7x > - 28 ( divide both sides by 7 )
x > - 4
The value of x in the given sector is determined as 7.1.
<h3>Area of the sector</h3>
Total area of the sector = area of the shaded + area of the unshaded
Since shaded and unshaded areas are equal, the value of x is calculated as follows;
πr²θ/360 = πx²60/360 + πx²60/360
πr²θ/360 = 2(πx²θ/360)
πr² = 2(πx²)
r² = 2x²
x² = r²/2
x² = (10²)/2
x² = 50
x = √50
x = 7.1
Thus, the value of x in the given sector is determined as 7.1.
Learn more about area of sector here: brainly.com/question/22972014
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