3 years ago

5 dollars less on dinner than James spent

Mathematics

2 answers:

morpeh [17]3 years ago

8 0

Do you have a picture of the math problem?

Art [367]3 years ago

5 0

What is the rest of this question?

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svet-max [94.6K]

<u>Question</u>

In the diagram, angle OLM is twice as large as angle PON. What is the size of angle OLM?

Answer:

$\angle OLM =112^\circ$

Step-by-step explanation:

Let Angle PON =x

Therefore: Angle OLM =2x

$\angle JKO +\angle OKL =180^\circ\\124^\circ + \angle OKL =180^\circ\\\angle OKL =180^\circ-124^\circ\\\angle OKL =56^\circ$

$\angle PON =\angle KOL =x $ (Vertical Angles)$

$\angle OKL +\angle KOL=\angle OLM $(Opposite Interior Angles of Triangle KOL)$

$56+x=2x\\2x-x=56\\x=56^\circ$

Therefore:

$\angle OLM =2x=2*56=112^\circ$

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A sightseer near the top of the Empire State Building, 950 feet above the ground, looks down at a 5° angle of depression to an i

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Check the picture below.

make sure your calculator is in Degree mode.

now, "x" is just how many feet it is away, how many miles is that?

well, we know that there are 5280 feet in 1 mile, so

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