Answer:
= 12
Step-by-step explanation:
The shape ABCDEF is an irregular polygon.
The sum of the interior angles of any regular or irregular polygon = (n - 2) x 180 (where n is the number of sides of the polygon).
Therefore, the sum of the interior angles of shape ABCDEF = (6 - 2) x 180 = 720°
So to find the value of
, we need to add together all the interior angles and equal it to 720, then solve for
.
Before we do that, we need to determine angle F.
From inspection, we can see that angle F and 52° are a linear pair. We know that a linear pair of angles add up to 180°, so F + 52 = 180 ⇒ F = 180 - 52 = 128°
Therefore:
A + B + C + D + E + F = 720
(10
- 5) + 108 + (8
- 3) + (14
- 25) + 133 + 128 = 720
Collect like terms:
10
+ 8
+ 14
- 5 + 108 - 3 - 25 + 133 + 128 = 720
Combine like terms:
32
+ 336 = 720
Subtract 336 from both sides:
32
= 384
Divide both sides by 32:
= 12
24
x
^2
+
54
x
+
21,
if you would like me to explain how to do it, I can in the comments.
Answer:
kg.
Step-by-step explanation:
Let S be amount of strawberries picked in the afternoon.
We have been given that Sheldon harvest the strawberries and tomatoes in his garden. He picks 1 2/5 kg less strawberries in the morning than in the afternoon and the strawberries picked in morning are
kg.
To find the amount of strawberries picked by Sheldon in the afternoon we will add
and
:
Upon converting our given mixed fractions into improper fraction we will get,

Now let us have a common denominator.


Therefore, Sheldon picked
kg of strawberries in the afternoon.
<span>A​ country's people consume 6.6 billion pounds of candy​ (excluding chewing​ gum) per year.
Population of the country is 303 million.
Specific consumption,
= ((6.6*10^9 pounds)/( year* 303*10^6 persons))*(year/ 12 months)
=1.8 pounds/(months*persons)</span>