3 years ago

I need help with this equation -2 < -5

Mathematics

2 answers:

ikadub [295]3 years ago

4 0

Answer:

False

Step-by-step explanation:

-2 is bigger than -5

strojnjashka [21]3 years ago

3 0

Answer:

-2 > -5

Step-by-step explanation:

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3 years ago

If the measure of arc AD = (6x -80)° and <G = (x + 2)°, what is the measure of <G?<br>

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Answer: $\angle G=23\°$

Step-by-step explanation:

Remember that an inscribed angle is defined as an angle formed by two chords and whose vertex lies on the circle.

By definition, the measure of an inscribed angle is:

$Inscribed\ Angle=\frac{Intercepted\ Arc}{2}$

You know that:

$Intercepted\ Arc=AD = (6x -80)\\\\Inscribed\ Angle=\angle G=(x + 2)$

Then, you need to substitute values and solve for "x":

$(x+2)=\frac{(6x -80)}{2}\\\\2(x+2)=6x-80\\\\2x+4=6x-80\\\\4+80=6x-2x\\\\84=4x\\\\x=\frac{84}{4}\\\\x=21$

Substituting the value of "x" into $\angle G=(x + 2)\°$ you get:

$\angle G=(21 + 2)\°=23\°$

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