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.
Answer:
x = 45°
Step-by-step explanation:
80° + 55° + x = 180°
135° + x = 180°
x = 45°
Answer:
25.
Step-by-step explanation:
5 ft 7 in = 5.583 ft.
We have 2 similar triangles here.
If h is the height of the tree, then:
h / 5.583 = 18/4
h = 18*5.583/4
h = 25.12 ft
Answer:
a = 15
Step-by-step explanation:
The formula to solve for the above diagram is given as:
Sum of the interior angles in a circle = 360°
(10a - 4)° + (6a - 2)° + (8a + 6)° = 360°
10a - 4 + 6a - 2 + 8a + 6 = 360
24a -6 + 6 = 360°
24a = 360
a = 360/24
a = 15
Your answer is = (x^2-5x+7)