Answer:
x = 98
Step-by-step explanation:
The sum of the interior angles in a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 7, thus
sum = 180° × 5 = 900°
Sum the interior angles and equate to 900
x + 146 + 122 + 142 + 140 + 110 + 142 = 900, that is
x + 802 = 900 ( subtract 802 from both sides )
x = 98
Step-by-step explanation:
$31.50 is how much she made
418.5 is how much the store made, but, that is the simple value, there could be more variables
Answer:
(3, 1 ) is a solution
Step-by-step explanation:
To determine if the given points are solutions, substitute the x and y values into the left side of the equation and if equal to the right side then they are solutions.
(3, 1 )
3 + 4(1) = 3 + 4 = 7 = right side , then a solution
(2, 1 )
2 + 4(1) = 2 + 4 = 6 ≠ 7 ← not a solution
Answer:
A) 130
Step-by-step explanation:
(2x + 18) + y = 180 <--- Is True
(4x - 14) + y = 180 <--- Is True
(2x + 18) + y = y + (4x - 14)
(2x + 18) = (4x - 14)
2x + 18 = 4x - 14
-2x + 18 = -14
- 18 - 18
-2x = -32
x = 16
2(16) + 18 = 50
4(16) - 14 = 50
180 - 50 = 130
Answer:
x = 15
Step-by-step explanation:
We are told that a right angle is divided into two parts
A right angle = 90°
Part A = 30°
Part B = 4x
Hence:
30° + 4x = 90°
Collect like terms
4x = 90° - 30°
4x = 60°
4x = 60/4
x = 15
Therefore, the value of x = 15
