Answer:
120°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 5 since a pentagon has 5 sides, thus
sum = 180° × 3 = 540°
let x be the measure of the 3 equal angles
Sum the interior angles and equate to 540
112 + 68 + 3x = 540, that is
180 + 3x = 540 ( subtract 180 from both sides )
3x = 360 ( divide both sides by 3 )
x = 120
Hence the measure of each equal interior angle is 120°
First you want to isolate the variable, do this by adding 18 to both sides. You're left with 12r = 13r + 36, then subtract 13r to get the variables alone. You're then left with -1r = 36, multiply by -1 to remove the negative. The final result would be (1) r = 36.
Step-by-step explanation:
Given that the set of data collected has an extreme value (24), a Median measure of center is more appropriate than a Mean measure.
We sort the same data collected in increasing order:
{0, 1, 2, 4, 4, 5, 5, 24}
There are 8 elements inside the set, so we check the 4th and 5th elements (closest to the center), which are 4 and 4.
Since they are equal, the Median is 4.
Our answer is Median; 4.
To change 97/14 into a mixed number, first figure out how many times 14 can go into 97 without going over. This would be 6 times which would be the whole number part of your mixed number. Then, multiply 6 by 14 to get 84 and subtract it from 97 to get 13 which would be the part over 16. This would result in your answer 6 13/16, would be 97/14 in mixed number form.