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Aleksandr [31]
2 years ago
10

What is ghe solution to this equation? 02(x - 20) = 44 - x

Mathematics
1 answer:
Oliga [24]2 years ago
5 0
X= 40 is the answer to this equation
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I don't know if this is right... please someone help mee
worty [1.4K]
For the first circle, let's use the pythagorean theorem

\bf \textit{using the pythagorean theorem}\\\\
c^2=a^2+b^2\implies c=\sqrt{a^2+b^2}
\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}
\\\\\\
c=\sqrt{8^2+15^2}\implies c=\sqrt{289}\implies c=17

now, it just so happen that the hypotenuse on that triangle, is actually 17, but we used the pythagorean theorem to find it, and the pythagorean theorem only works for right-triangles.

 so if the hypotenuse is actually 17, that means that triangle there is actually a right-triangle, meaning that the radius there, and the outside line there, are both meeting at a right-angle.

when an outside line touches the radius line, and they form a right-angle, the outside line is indeed a tangent line, since the point of tangency is always a right-angle with the radius.



now, let's check for second circle

\bf \textit{using the pythagorean theorem}\\\\
c^2=a^2+b^2\implies c=\sqrt{a^2+b^2}
\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}
\\\\\\
c=\sqrt{11^2+14^2}\implies c=\sqrt{317}\implies c\approx 17.8044938

well, low and behold, we didn't get our hypotenuse as 16 after all, meaning, that triangle is NOT a right-triangle, and that outside line is not touching the radius at a right-angle, therefore is NOT a tangent line.



let's check the third circle

\bf \textit{using the pythagorean theorem}\\\\
c^2=a^2+b^2\implies c=\sqrt{a^2+b^2}
\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}
\\\\\\
c=\sqrt{33^2+56^2}\implies c=\sqrt{4225}\implies c=\stackrel{33+32}{65}

this time, we did get our hypotenuse to 65, the triangle is a right-triangle, so the outside line is indeed a tangent line.
6 0
3 years ago
What is 3425 x 10^-2 ?
Inessa05 [86]
<span>3425 x 10^-2 =
34.25
maybe</span>
8 0
3 years ago
Read 2 more answers
Sam can prepare 20 wall paintings in 4 weeks. How much time will he need to
Nadusha1986 [10]
Answer:
20=4 weeks
40=8 weeks
60=12 weeks
80=16 weeks
 Hope I helped :)
3 0
3 years ago
Please help will give brainliest
natulia [17]

Answer:

A) it wouldn't fit

Step-by-step explanation:

7 0
3 years ago
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What is the area of a rectangle with a length of 5/8foot and a width of 4/9 foot?
VLD [36.1K]
The answer is 20/72 or 5/18
5 0
3 years ago
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