Answer:
20°
Step-by-step explanation:
The sum of all triangles must equal 180 degrees.
The measure of two angles of a triangle are each four times the measure of the third angle.
2x+x/4=180
The equation above illustrates a way to solve for X which represents the the independent angle measurement from the two angles.
x = 80
Above, we solved for x by simplifying both sides of the equation and then isolating x. So hmm...does 80 make sense?
80 / 4 = 20. So it is four times the measure of the 3rd angle. But does it all equal to 180?
2 * 80 + 20 = 180.
The angle of the third angle is 20 degrees.
We are given the data here that there are 21 teams and that in the tournament, for each opponent, one team has to play with each other twice. The formula to follow here is T = n*(n-1)*z/2 where T is the total number of games played in total in the tournament, n is the number of teams who participated and z is the number of times they have to face in the eliminations. 2 is attributed to prevent the repetition of the count in the reverse of roles of the opponents. In this case, upon substitution, then T =21*20*2/2 = 420 games in total.
Since 19 is a prime number it only goes into 1 and 19 so 1 times 19 is the only possible answer
38
1472.50/ 5 weeks = 294.50/ week
294.50/7.75 per hour = 38 hours per week
Answer:
2, 6, 18, 54, 162
Step-by-step explanation:
In a geometric sequence, terms that are 2 terms apart (2nd & 4th, for example) have a ratio that is the 2nd power of the common ratio. Since 54/6 = 9 = 3², the common ratio is 3.
The first term will be the 2nd term divided by that ratio; the 5th term will be the 4th term multiplied by that ratio. You can figure the 3rd term any of several ways (and they should all give the same value): multiply the 2nd term, divide the 3rd term, or find the geometric mean of the 2nd & 4th terms: √(6·54) = 18.