Circle A is shown. Secant W Y intersects tangent Z Y at point Y outside of the circle. Secant W Y intersects circle A at point X
2 answers:
Circle A is missing, so i have attached it.
Answer:
∠XYZ = 35°
Step-by-step explanation:
We want to find the angle ∠XYZ in the image attached.
To solve that, we will use the formula in the theorem for angle formed by secants or tangents. Thus;
∠XYZ = ½(arc WZ - arc XZ)
From the image, arc WZ = 175° and arc XZ = 105°
Thus;
∠XYZ = ½(175 - 105)
∠XYZ = ½(70)
∠XYZ = 35°
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Answer: The width is: " 10 m " .
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To express this answer as an "exponential expression" ; we can write this answer as: " 10¹ m " .
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Also, we can write the width as an unsimplified "exponential expression" as:
" m " .
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Step-by-step explanation:
Area, "A" = L (length) * w (width ;
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Since: " A = L * w " ;
and since we are to find the width; "w" ;
let us rewrite the equation;
to isolate "w" on one side of the equation:
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" A = L * w " ;
Divide Each Side of the equation by "L" ;
A / L = (L * w) / L ;
The " L's " on the "right-hand side" of the equation "cancel out" ;
{since: " L / L = 1 " } ;
and we have:
A / L = w ;
↔ w = A / L ;
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Now, we are given: "A = 10⁴ m² " ;
" L = 10³ m " [the 'length' (from image attached) ] ;
We can substitute these values in our equation:
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w = A / L ;
" ."
The width, "w" = 10 m .
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Let us check our answer:
Area (A) = L (length) * w (width) ;
→ 10⁴ m² ≟ 10³ m * 10 m ? ;
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→ 10⁴ m² ≟ 10³ * 10¹ m * m ? ;
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→ 10⁴ m² ≟ 10⁽³⁺ ¹⁾ * m * m ? ;
→ 10⁴ m² ≟ 10⁴ m² ? Yes!
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Other: Let us further check our answer; in a different format:
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Area (A) = L (length) * w (width) ;
→ 10⁴ m² ≟ 10³ m * 10 m ? ;
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→ 10,000 m² ≟ 1,000 m * 10 m ?
→ 10,000 m² ≟ 10,000 m * m ≟ 10,000 m² ? Yes!
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Hope this is helpful.
Best of luck in your academic endeavors—& within "Brainly" !
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