Which are correct statements regarding proofs? Select three options.
2 answers:
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<h3>1. Inscribe a circle ΔJKL. Identify the point of concurrency that is the center of the circle you drew. </h3>
<h3>2. Circumscribe a circle ΔFGH. Identify the point of concurrency that is the center of the circle you drew. </h3>
To inscribe a circle in the attached triangle, we must follow the following steps. The resultant figure is the first one below.
1. Draw the angle bisector of angle JKL. The straight line in the green one.
2. Draw the angle bisector of angle KLJ. The straight line in the blue one.
3. Draw point D at these two lines.
4. Draw a line through point D perpendicular to side JK. The straight line in the red one.
5. Mark point G at the red line and side JK.
6. Draw a circle with center at D (point of concurrency) and a radius of DG.
<h3>2. Circumscribe a circle ΔFGH. Identify the point of concurrency that is the center of the circle you drew. </h3>
To circumscribe a circle in the attached triangle, we must follow the following steps:
1. Draw the perpendicular bisector of the side FG. The straight line in the red one. The resultant figure is the second one below.
2. Draw the perpendicular bisector of the side GH. The straight line in the blue one.
3. The center of the circle is the intersection of these two lines
4. Draw a circle with center at D (point of concurrency).
<h3>3. Construct the two lines tangents to circle</h3>A tangent to a circle is a straight line that touches the circle at an only point. If a point A is outside a circle, we can draw two lines that pass through this point and are tangent to the circle at two different points each. So this is shown in the third figure. Lines red and blue are tangent to the circle at two different points.
Answer:
25.968
Step-by-step explanation:
The Google calculator will reliably use PEMDAS to evaluate an expression.
= (2.1 +30.36)×0.8
= 32.46×0.8
= 25.968
_____
If entering this expression into your calculator gives a different result, get a better calculator.
Answer: Mean = 204.6 , Median = 195 and mode =195
Step-by-step explanation:
The given data for Winona’s bowling scores for the past nine weeks : 195, 180, 195, 212, 208, 231, 179, 246, 195.
The formula to find Mean is given by :-
For median , first we arrange data values in order as
179, 180, 195, 195, 195, 208, 212, 231, 246
Since the number of data values is 9 (odd).
∴ Median = Middle most data value = 195
Also, Mode = Most occurring data value = 195