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notsponge [240]
4 years ago
8

To bisect an angle using paper folding, fold the paper through the angle so that the line segments determining the angle lie:

Mathematics
2 answers:
algol [13]4 years ago
6 0
To bisect an angle using paper folding, fold the paper through the angle so that the line segments determining the angle lie ON EACH OTHER. 

To bisect means to divide into two equal parts and to find the middle line of the shape or angle. Simply fold the paper using the written lines of an angle. Each line must lie on each other, flatten the paper and the crease formed will be the bisecting line. 

Svetlanka [38]4 years ago
3 0

Answer:

On each other

Step-by-step explanation:

APEX

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Cassidy has saved $8,000 this year in an account that earns 9% interest annually. Based on the rule of 72, it will take about ye
den301095 [7]

Answer:

The number of years in which saving gets double is 8 years .

Step-by-step explanation:

Given as :

The principal amount saved into the account = p = $8,000

The rate of interest applied = r = 9%

The Amount gets double in n years = $A  

Or, $A = 2 × p = $8,000 × 2 = $16,000

Let the number of years in which saving gets double = n years

Now,<u> From Compound Interest method</u>

Amount = Principal × (1+\dfrac{\textrm rate}{100})^{\textrm time}

Or, 2 × p = p × (1+\dfrac{\textrm r}{100})^{\textrm n}

Or, $16,000 = $8,000 × (1+\dfrac{\textrm 9}{100})^{\textrm n}

Or, \dfrac{16,000}{8,000} = (1.09)^{n}

Or, 2 = (1.09)^{n}

Now, Taking Log both side

Log_{10}2 = Log_{10} (1.09)^{n}

Or, 0.3010 = n × Log_{10}1.09

Or, 0.3010 = n × 0.0374

∴ n = \dfrac{0.3010}{0.0374}

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So, The number of years = n = 8

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Step-by-step explanation:

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Please consider the complete question.

Let x represent measure of arc NL.

We have been given that measure of arc NPL is twice the measure of arc NL. So measure of arc NPL would be 2x.

We know that measure of all arcs in a circle is equal to 360 degrees, so we can set an equation as:

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Upon substituting measure of both arcs, we will get:

x+2x=360^{\circ}

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\frac{3x}{3}=\frac{360^{\circ}}{3}

x=120^{\circ}

The measure of arc NPL would be 2x\Rightarrow 2(120^{\circ})=240^{\circ}.

We can see that angle NML is inscribed angle of arc NPL. We know that measure of an inscribed angle is half the measure of intercepted arc.

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m\angle NML=\frac{1}{2}\cdot 240^{\circ}

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