Angles on a straight line add up to 180°, so:
x + 60 = 180
x = 180 - 60
x = 120°
An outside angle of a triangle is equal to the sum of the two opposite inside angles.
Using the information in the picture, 132 is an outside angle and x and (3x-24) are the two opposite inside angles.
Setting up the equation you would have: 132 = x + (3x-24)
Now solve for x:
132 = x + (3x-24)
Simplify:
132 = 4x -24
Add 24 to both sides:
156 = 4x
Divide both sides by 4:
x = 156/4
x = 39
Answer:
the answer is true
Step-by-step explanation:
the more you go negative the less it is so that's why -1 is greater than -8
Answer:
a₆ = 13x + 31
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
Here a₁ = 3x + 1 and d = 2x + 6 , then
a₆ = 3x + 1 + 5(2x + 6)
= 3x + 1 + 10x + 30
= 13x + 31
profit = revenue - expenses
Filling in the given values, where n is the number of necklaces Sam must sell ...
... 1000 = 10n - (5n +5000)
... 6000 = 5n . . . . . . collect terms, add 5000
... 1200 = n . . . . . . . divide by 5
The appropriate choice is
... D. 1200
