Find the value of x. (Note: the line passing through the center of the circle is a diameter)
2 answers:
We know that
<span>The measure of the interior angle is the half-summit of the arcs that comprise it and its opposite.
see the attached figure with letters to better understand the problem
measure of the arc ADCB is equal to 180 degrees
arc DC=180-(arc BC+arc AD)----> arc DC=180-(60+70)---> 50</span>°
<span>arc DC=50</span>°
<span>so
</span>∡x=(1/2)*[arc AB+arc DC]---> (1/2)*[180+50]----> ∡ x=115°
<span>
the answer is
x=115</span>°
<span>The measure of the interior angle is the half-summit of the arcs that comprise it and its opposite.
see the attached figure with letters to better understand the problem
measure of the arc ADCB is equal to 180 degrees
arc DC=180-(arc BC+arc AD)----> arc DC=180-(60+70)---> 50</span>°
<span>arc DC=50</span>°
<span>so
</span>∡x=(1/2)*[arc AB+arc DC]---> (1/2)*[180+50]----> ∡ x=115°
<span>
the answer is
x=115</span>°
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Given:
The cost y (in dollars) of renting a segway for x hours is
To find:
The initial fee and the cost per hour.
Solution:
We have,
...(i)
The slope intercept form of a linear equation is
...(ii)
where, m is slope is b is y-intercept or initial value.
From (i) and (ii), we get
The value of m is 30, so the slope is 30. It means cost per hour is $30.
The value of b is 25, so y-intercept is 25. It means the initial fee is $25.