**Answer:**

see explanation

**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 = 6 ( sides of a hexagon ) , then

sum = 180° × 4 = 720°

(a)

let x be the sixth interior angle , then

90° + 100° + 110° + 120° + 130° + x = 720 , that is

550° + x = 720° ( subtract 550° from both sides )

x = 170°

(b)

the sum of the exterior angles of a polygon is 360°

exterior angle + interior angle = 180°

exterior angle = 180° - interior angle

Then

180° - 90° = 90°

180° - 100° = 80°

180° - 110° = 70°

180° - 120° = 60°

180° - 130° = 50°

180° - 170° = 10°

sum = 90° + 80° + 70° + 60° + 50° + 10° = 360° ← correct total

Answer:

5.5

Step-by-step explanation:

18 = 6(2x - 8)

18/6 = 2x - 8

3 = 2x - 8

2x = 11

x = 11/2 or 5½

**Answer:**

-9

**Step-by-step explanation:**

hope this helpshchxjxjx

**Answer:**

B

**Step-by-step explanation:**

Substitute x = h + 2 into f(x), that is

f(h + 2)

= 4(h + 2)² - 17 ← expand factor using FOIL

= 4(h² + 4h + 4) - 17 ← distribute parenthesis and simplify

= 4h² + 16h + 16 - 17

= 4h² + 16h - 1 → B

Answer: f) None of the above

= ( 5.283, 5.917)

Therefore at 90% confidence interval (a,b) = ( 5.283, 5.917)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = 5.6ft

Standard deviation r = 1.0ft

Number of samples n = 27

Confidence interval = 90%

z(at 90% confidence) = 1.645

Substituting the values we have;

5.6+/-1.645(1.0/√27)

5.6+/-1.645(0.192)

5.6+/-0.317 ft

= ( 5.283, 5.917)

Therefore at 90% confidence interval (a,b) = ( 5.283, 5.917)