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:
B
Step-by-step explanation:
the question is asking to name any point, B is a point that falls on the graph
To be a parallogram the 2 angles shown need to equal 180 degrees
so we have: 34 + (4x-2) = 180
now we can solve for x
34 + 4x -2 = 180
simplify the left side by subtracting 2 from 34
32+4x =180
subtract 32 from each side:
4x = 148
divide both sides by 4 to get x
x = 148 / 4
x = 37
The answer is B
Answer:
Step-by-step explanation:
Given the system of equations:
In order to find the y coordinate of the solution we must first find the solution to this system of equations. We first start by solving one of the given equations and then substitute the answer of that into the second equation and further solve to get the final answers.
Hope this helps.
Answer: 4
Step by-step explanation: 4 cans for 3 dollars. Since this only costs <em><u>1$ more than</u></em> the possible prices of the <em><u>4 cans</u></em> then that's the answer.
In shorter terms; it's like 1 can cost 2 dollars on the 3 for 4 deal, and 1 can cost 3 dollars on the 9 for 12 deal, find this out by subtracting 9 from 12 and subtracting 3 from 4
