Answer:
c. -1.5 < -0.5
Step-by-step explanation:
a. -1.5 > 0.5 . . . . false
b. -0.5 > 0 . . . . . false
c. -1.5 < -0.5 . . . TRUE
d. 1/2 > 0.5 . . . . false (these are the same number) 1/2 = 0.5
_____
In order on the number line from left to right, you will see ...
(left end) ... -1.5 ... -0.5 ... 0 ... 0.5 ... (right end)
__
The inequality relation appropriate to these is ...
(number on the left) < (number on the right)
Of course, this can be swapped around so you have ...
(number on the right) > (number on the left)
Just like that? Any question, inbox. :p
Answer:
m(∠y) = 64°
Step-by-step explanation:
From the figure attached,
m(∠e) = 90°
m(∠b) + 67° = 180° [Linear pair of angles]
m(∠b) = 180 - 67
= 113°
m(∠c) + 75° = 180° [Linear pair of angles]
m(∠c) = 105°
m(∠a) = m(∠d)
By the property of a polygon,
Sum of the interior angles of a polygon is given by,
Sum of interior angles = (n - 2) × 180°
Here, n = number of sides of the polygon
For n = 5,
Sum of interior angles = (5 - 2)×180°
= 540°
m(∠a) + m(∠b) + m(∠c) + m(∠d) + m(e) = 540°
2m(∠d) + 113° + 105° + 90° = 540°
2m(∠d) + 308 = 540°
2m(∠d) = 540 - 308
m(∠d) = 116°
m(∠d) + m(∠y) = 180°
m(∠y) + 116° = 180° [Linear pair of angles]
m(∠y) = 64°
No it is not always a mixed number if you add two mixed numbers