Answer : The number is 4.
Step-by-step explanation:
<u>Given : </u>
six times a number, increased by 3 is is 27.
<u>To Find: </u>
The number.
<u>Solution : </u>
Let the number is x
six times a number is 6x
Increased by 3 = 6x+3
According to the given question :
<u>Solving the value x : </u>
6x+3 =27
6x = 27-3
6x = 24
x = 24/6
x = 4
Hence, the number is 4.
Answer:

Step-by-step explanation:
here's the solution :-
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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
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Answer:
x is equal to positive 5/6 and negative 5/6
Step-by-step explanation:
To solve this, you simply need to take the square root of both sides:
