Answer:
Step-by-step explanation:
we know that
The inscribed angle is half that of the arc comprising
so
![m\angle y=\frac{1}{2}[96^o]](https://tex.z-dn.net/?f=m%5Cangle%20y%3D%5Cfrac%7B1%7D%7B2%7D%5B96%5Eo%5D)
Answer: 6.403 miles; or, write as: 6.403 mi. .
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Explanation:
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5
--------------------------------------------
` right angle |_ |
` (right triangle ) |
` | 4
` |
`
"c" ` \
(hypotenuse) Starting point
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Since we have a "right triangle, we solve for "c"; using the
"Pythagorean theorem" ;
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→ a² + b² = c² ; Solve for "c" ; our answer (in "miles"; or, "mi.") ;
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Given : a = 4; b = 5 ;
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Plug these known values into our equation:
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→ 4² + 5² = c² ;
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→ 16 + 25 = c² ; ↔ c² = 16 + 25 ;
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→ c² = 41 ;
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→ Take the positive square root of each side of the equation (since the side of a "triangle" cannot be "negative";
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→ √(c²) = √(41) ;
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→ c = √41 ; Use calculator;
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→ c = 6.40312423743 ; Round to:
→ c = 6.403 miles; or, 6.403 mi.
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Answer: x = 1
Step-by-step explanation:
substitute 1 for x
1/2(10(1)+6) = -2(1)+10
1/2(10+6) = -2+10
5+3 = -2+10
8=8
