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USPshnik [31]
3 years ago
9

What is the measure of the missing angle in the figure below?

Mathematics
1 answer:
Talja [164]3 years ago
5 0

Answer: x=158\°

Step-by-step explanation:

The picture given in the exercise shows a Quadilateral which has an angle whose measure is unknown.

By definition, the sum of the interior angles of a quadrilateral is 360 degrees.

Knowing this, you can write the following equation:

24\°+100\°+78\°+x=360\°

Finally, you must solve for the angle "x" in order to calculate its measure.

This is:

24\°+100\°+78\°+x=360\°\\\\202\°+x=360\°\\\\x=360\°-202\°\\\\x=158\°

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Please find attached, the required graph created on MS Excel

Step-by-step explanation:

The distance between Sandy's house and the school = 200 m

The number of minutes Sandy talked to her friend for = 10 minutes

The time it took Sandy to return home to pick her homework = 5 minutes

Let <em>x </em>represent Sandy's location she stops to talk to her friend 10 minutes, we have;

The slope of the motion on the graph, m₁ = (x - 0)/(t - 0)

The slope of her motion running home to pick the up her homework, m₂ = (x - 0)/(5 - 0)

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Therefore, where x = 125, we have;

The rate at which she returned home = m₂ = (125 m - 0)/(5 min - 0) = 25 m/min

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Therefore, whereby it took her 10 minutes to reach point <em>x</em>, we have the following coordinate points on the graph in a tabular form;

\begin{array}{ccc} Time \ (minutes) \ x-axis&&Distance  \ (meters) \ y-axis\\0&&0\\10&&25\\15&&0\\23&&200\end{array}

The plot of the above point is completed using MS Excel as shown in the attached diagram.

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3 years ago
D=Rt for D, if T=5 hours and R=65 mph
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