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shusha [124]
3 years ago
12

1000^m / 100^n can be written in the form of 10^z express z in terms of m and n

Mathematics
1 answer:
Julli [10]3 years ago
5 0

Answer:

z = 3m - 2n

Step-by-step explanation:

\frac{ {1000}^{m} }{ {100}^{n} }  =  {10}^{z}  \\  \\  \frac{ {10}^{3m} }{ {10}^{2n} }  =  {10}^{z}   \\  \\  {10}^{3m - 2n} =  {10}^{z}  \\  \\ 3m - 2n = z \\  \\  \huge \red{ \boxed{z = 3m - 2n}}

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ss7ja [257]

Answer:

<em>The correct option is:  82°</em>

Step-by-step explanation:

In the given diagram, two chords RT and SU are intersecting.

According to the <u>Angle of intersecting chord theorem</u>, "<em>If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle</em>."

That means here......

94\°=\frac{1}{2}(m\widehat{RS}+m\widehat{TU})\\ \\ 94\°=\frac{1}{2}(106\°+m\widehat{TU})\\ \\ 2(94\°)=106\°+m\widehat{TU}\\ \\ 188\°=106\°+m\widehat{TU}\\ \\ m\widehat{TU}=188\°-106\°=82\°

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3 years ago
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Step-by-step explanation:

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Now look at the denominator digits (4, 5, and 5)

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Both 6 and 100 are divisible by 2 (6 divided by two is 3, and 100 divided by two is 50)

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