Answer:
2
Step-by-step explanation:
w + 1/2 ➡ (2w + 1)/2
w/4 + 2➡ (w + 8)/4
(2w + 1)/2 = (w + 8)/4
8w + 4 = 2w + 16 ➡ 6w = 12
w = 2
Answer:
<em>n</em> - <em>k</em> + 1
Step-by-step explanation:
This is assuming (because you did not say) that <em>n</em> and <em>k</em> are integers and <em>n</em> is greater than <em>k</em>.
Example: from 2 to 5 {2, 3, 4, 5} includes 5 - 2 + 1 = 4 numbers.
Example: from -6 to 4 includes 4 - (-6) + 1 = 11 numbers, namely {-6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4}
Answer:
58
Step-by-step explanation:
The two angles are equal
Answer:
a = 36°
b = 144°
Step-by-step explanation:
<h3><u>Method 1</u></h3>
Number of sides = n = 10
Sum of interior angles = (n - 2) × 180°
= (10 - 2) × 180°
= 8 × 180°
= 1440°
Interior angle = b = sum of interior angles ÷ number of sides
b = 1440 ÷ 10
b = 144°
a + b = 180° (Sum of angles in the straight line)
a + 144° = 180°
a + 144° - 144° = 180° - 144°
a = 36°
<h3><u>Method 2</u></h3>
Number of sides = 10
Exterior angle = a = 360° ÷ Number of sides
a = 360° ÷ 10
a = 36°
a + b = 180° (Sum of angles in the straight line)
36° + b = 180°
36° + b - 36° = 180° - 36°
b = 144°
Answer:
Step-by-step explanation:
Given points are: (-4,2) and (5,6)