Analyze the diagram to complete the statements. The m∠MXN is the m∠YZX. The m∠LZX is the m∠ZYX + m∠YXZ. The m∠MYL is 180° − m∠ZY
X.
2 answers:
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Answer:
Time taken by Franklin to shovel alone is 65.5 minutes.
Step-by-step explanation:
Let the time taken by Franklin to shovel alone = x minutes.
Since, the time taken by Angela to shovel = 180 minutes and the time taken by both = 48 minutes.
Then, we have,
Amount of shoveling done in 1 minute by Angela =
Amount of shoveling done in 1 minute by both =
Amount of shoveling done in 1 minute by Franklin=
So, we have,
i.e.
i.e.
i.e.
i.e.
i.e. x= 65.5 minutes
Thus, the time taken by Franklin to shovel alone is 65.5 minutes.
The arc length of the partial circle is 7.5π
<h3>Calculating arc length</h3>From the question, we are to determine the arc length of the partial circle
The length of an arc can be calculated by using the formula
Where is the length of the arc
is the angle subtended
and r is the radius
From the diagram,
θ = 270°
r = 5
Putting the values into the equation, we get
OR 7.5π
Hence, the arc length of the partial circle is 7.5π
Learn more on Calculating arc length here: brainly.com/question/16552139
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