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Serga [27]
3 years ago
13

What is the measure, in degrees, of angle of FHE?

Mathematics
2 answers:
Vedmedyk [2.9K]3 years ago
3 0

Answer:

Measure of an angle In geometry, an angle. is measured in degrees, where a full circle is 360 degrees. ... The degree is divided in to 60 minutes. For even finer measurements the minute is divided again into 60 seconds, However this last measure is so small, it only used where angles are subtended over extreme distances such as astronomical measurements, and measuring latitude and longitude.

Step-by-step explanation:

Keith_Richards [23]3 years ago
3 0

Answer:

15 degrees

Step-by-step explanation:

To find the angle, first consider that you have to find all the the other angles inside the triangle (which should equal 180 degrees). Second, the angle that is missing is supplementary to the angle 40 degrees in the other triangle and the 2 angles should add up to 180 degrees as well. Meaning that angle is 140 degrees.

If you add 140 degrees and 25 degrees, you should get 165 degrees, leaving the remaining 15 degrees to be made up by the last angle, the one you're looking for, FHE.

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Use geometric series to find the fraction of 0.8967898989
Sliva [168]

I'm guessing the repeating part is 89 at the end, so that

x=0.8967\overline89\implies10^4x=8967.\overline{89}

Then

10^4x=8967+\displaystyle89\sum_{i=1}^\infty\frac1{100^i}

10^4x=8967+89\left(\dfrac1{1-\frac1{100}}-1\right)

10^4x=8967+\dfrac{89}{99}

x=\dfrac{8967}{10^4}+\dfrac{89}{99\cdot10^4}

x=\dfrac{443911}{495000}

###

An arguably quicker way without using geometric series:

10^4x=8967.\overline{89}

10^6x=896789.\overline{89}

10^6x-10^4x=887822

x=\dfrac{887822}{10^6-10^4}=\dfrac{443911}{495000}

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