Recall that all three angles in a triangle equals 180.
Knowing this, we just have to add up all the angles and figure out what the value 'x' is.
(x-22 + x-17 + 3x+19) = 180
Simplify:
5x - 20 = 180
Add 20 to both sides:
5x = 200
Divide both sides by 5:
x = 40
Now that we found the value for x, we need to solve for angle A.
Simply input the value of 'x' into angle A's equation:
40 - 22 = 18
Angle A = 18 degrees
Good luck! If you need me to explain anything, just ask :))
-T.B.
Answer:
Step-by-step explanation:

Answer:
Step-by-step explanation:
a1 = 3(1) - 7 = - 4
a2 = 3(2) - 7 = -1
d = a2 - a1
d = -1 - (-4)
d = -1 + 4
d = 3
a60 = 3(60) - 7
a60 = 180 - 7
a60 = 173
n = 60
Sum = (a1 + a60) * n / 2
Sum = (-4 + 173) * 60/2
Sum = (169)*30
Sum = 5070
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Just to check, we'll use the second summation formula
d = 3
n = 60
a1 = -4
Sum = (2*a1 + (n - 1)*d )*n / 2
Sum = (2*(-4) + (60 -1)*3)* 60/2
Sum = (-8 + 59*3) * 30
Sum = (177 - 8)*30
Sum = 169 * 30
Sum = 5070
Same answer.
Answer:
7
Step-by-step explanation:
x=7
Answer:
5 pounds
Step-by-step explanation:
Given that:
Amount of gift card = $80
Cost of coffee per pound = $8.24
Amount left in the card = $38.80
To find:
Number of pounds of coffee bought = ?
Solution:
Let the number of pounds of the coffee bought =
pounds
Cost of 1 pound = $8.24
Cost of
pounds = $8.24 
Writing the equation as per question statement:

Therefore, 5 pounds of coffee was bought.