Answer:
Options A-C-F
Step-by-step explanation:
we know that
<em>The circumference of a circle is equal to</em>
or
where
D is the diameter and r is the radius
therefore
or
The number pi is the ratio circumference - diameter or is the ratio circumference - 2 times radius
<em>The area of the circle is equal to</em>
therefore
The number pi is the ratio Area - radius squared
Answer: x = -4 ; Angle = 60°
Concept:
The given figure is a triangle with 3 arc signs on each angle. This <u>arc sign </u>stands for the corresponding angles are congruent, which in this question, it shows that all three angles are congruent. Sometimes, if the figure has multiple angles and there are different groupings of congruent angles, then we use different numbers of arcs or symbols.
Solve:
<u>Given information</u>
An angle = 3x + 72
Total measure of angles = 180 (triangle angle sum theorem)
Total number of congruent angles = 3
<u>Given expression</u>
Total measure = Total number of congruent angles × An angle measure
<u>Substitute values into the expression</u>
180 = 3 (3x + 72)
<u>Divide 3 on both sides</u>
180 / 3 = 3 (3x + 72) / 3
60 = 3x + 72
<u>Subtract 72 on both sides</u>
60 - 72 = 3x + 72 - 72
-12 = 3x
<u>Divide 3 on both sides</u>
-12 / 3 = 3x / 3
<u />
<u>Find the angle measure</u>
3x + 72 = 3 (-4) + 72 =
Hope this helps!! :)
Please let me know if you have any questions