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3 years ago

Help me fill this out! please be honest and help me , i'll mark you brainlesst

Mathematics

1 answer:

faust18 [17]3 years ago

5 0

Answer/Step-by-step explanation:

1. The vertex of am angle is formed when two lines join together. The vertex of the angle shown in the diagram is located outside the circle.(<R)

2. The lines that created <FRT (lines FR & TR) are secants

3. The major arc = FT = 140°

minor arc = QS = 44°

4. Formula of Exterior angles of a circle = (major arc - minor arc)/2

x = (140 - 44)/2

x = 96/2

x = 48°

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1) $\frac{(-2)^{-5}}{(-2)^{-10}}$

Solving using exponent rule: $a^{-m}=\frac{1}{a^m}$

$\frac{(-2)^{-5}}{(-2)^{-10}}\\=(-2)^{-5+10}\\=(-2)^{5}\\=-32$

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We have:

$2^{-1}.2^{-4}\\=2^{-1-4}\\=2^{-5}$

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$2^{-5}\\=\frac{1}{2^5}\\=\frac{1}{32}$

So, $2^{-1}.2^{-4} = \frac{1}{32}$

3) $(-\frac{1}{2} )^3.(-\frac{1}{2} )^2$

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$(-\frac{1}{2} )^3.(-\frac{1}{2} )^2\\=(-\frac{1}{8} ).(\frac{1}{4} )\\=-\frac{1}{32}$

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So, $\frac{2}{2^{-4}} = 32$

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