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
Answer:
68 degrees
Step-by-step explanation:
To get the interior angle, we use an important triangle principle
The principle is that the sum of the opposite interior angles equal the exterior angle
Let the second interior angle be x
x + 51 = 119
x = 119-51
x = 68
Answer:
y= 23
Step-by-step explanation:
Solve for (y
)
by simplifying both sides of the equation, then isolating the variable.
7y - 6y - 10 = 13
I have only begun my Freshman Year of High School, and therefore I can only answer #2. Assuming they arrived at camp somewhere in the afternoon on the 188th day, take the amount of coffee and create a proportion for ounces of coffee/pound of coffee. Do this for all 27 pounds of coffee, because there are only three pounds left, and divide it by the amount of days the travel took. This method of solving will give you the answer.
Answer:
The general term for the sequence can be given by the following formula:
Step-by-step explanation:
If the sequence you typed starts with first term 11 and continues with terms 13, 15, 17, 19, We understand that the sequence is formed by adding 2 units to the previous term. So we are in the case of an arithmetic sequence with constant difference (d) = 2, and with first term 11.
Therefore, the nth term of this arithmetic sequence can be expressed by using the general form for an arithmetic sequence as:
