Gary should be the correct choice because when you balance their checkbook correctly you should have a balanced or equal amount in both your check register and your bank statement.
Good luck! Please let me know if I have chosen the wrong answer. All though I am very confident in my answer.
Answer:
55 degrees and 125 degrees
Step-by-step explanation:
Supplementary means that they add up to 180.
x + y = 180
Let's let x be the larger angle.
x = 15 + 2y
The above equation comes from the information given, that it's 15 more than twice the smaller angle.
Now let's use substitution.
x + y = 180
(15 + 2y) + y = 180
15 + 3y = 180
3y = 165
y = 55
The smaller angle is 55. Plug this back in to the first equation to get x.
x + y = 180
x + 55 = 180
x = 125
Now that you have both, test them again just to be sure that they fit the given conditions.
3 = 3/4(b - 8)
Switch sides
3/4(b - 8) = 3
Next, multiply both sides by 4
4 * 3/4(b - 8) = 3 * 4
Then simplify,
3(b - 8) = 12
Next, divide both sides by 3
3(b - 8)/3 = 12/3
Then, simplify
b - 8 = 4
Then, add 8 to both sides
b - 8 + 8 = 4 + 8
Simplify, b = 12
Answer: perimeter = 70.54 cm
Step-by-step explanation:
Perimeter of a shape is the distance around it.
Perimeter of the arc of the bigger semicircle is
π × r
= 3.14 × 7 = 21.98 cm
Perimeter of the arc of the smaller semicircle(handle) is
π × r
= 3.14 × 3 = 9.42 cm
Perimeter of the arc of the smallest semicircle(inner part of the handle) is
π × r
= 3.14 × 1 = 3.14 cm
Therefore, the perimeter of the shape would be
21.98 + 9.42 + 3.14 + 7 + 7 + 10 + 10 + 2 = 70.54 cm
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