Answer:
F = 105
Step-by-step explanation:
The sum of the interior angles of a polygon with n sides is (n – 2)180.
This polygon has 6 sides so the sum of the interior angles is (6-2) * 180 =
720
Add up the angles
x-60 +x-40 +130 +120 +110 + x-20 +x-20 = 720
Combine like terms
4x +220 = 720
Subtract 220 from each side
4x+220-220 = 720-220
x = 500
Divide each side by 4
4x/4=500/4
x = 125
We want to find angle F
F = x-20
= 125-20
105
Independent-a variable (often denoted by x) whose variation does not depend on that of another
dependant-a variable (often denoted by y) whose value depends on that of another.
Answer:
x = 3
Step-by-step explanation:
7(x + 4) - 7 = 48 - 2x ← distribute parenthesis and simplify left side
7x + 28 - 7 = 48 - 2x
7x + 21 = 48 - 2x ( add 2x to both sides )
9x + 21 = 48 ( subtract 21 from both sides )
9x = 27 ( divide both sides by 9 )
x = 3
Answer:
z = 3
Step-by-step explanation:
Since the points are collinear then the slopes between the points are equal.
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = P (2, - 3) and (x₂, y₂ ) = Q (3, - 2)
m = 
= 1
Repeat with
(x₁, y₁ ) = Q (3, - 2) and (x₂, y₂ ) = R (8, z )
m = 
= 
, then
= 1 ( multiply both sides by 5 )
z + 2 = 5 ( subtract 2 from both sides )
z = 3
Answer: 115
Step-by-step explanation: just did it on edg
