Reciprocal: what to multiply a value by to get 1; also known as multiplicative inverse.
19.5 in difference
difference indicates that you'll be subtracting so 29 3/4 - 10 1/4 = 19.5
Answer:
= 12
Step-by-step explanation:
The shape ABCDEF is an irregular polygon.
The sum of the interior angles of any regular or irregular polygon = (n - 2) x 180 (where n is the number of sides of the polygon).
Therefore, the sum of the interior angles of shape ABCDEF = (6 - 2) x 180 = 720°
So to find the value of
, we need to add together all the interior angles and equal it to 720, then solve for
.
Before we do that, we need to determine angle F.
From inspection, we can see that angle F and 52° are a linear pair. We know that a linear pair of angles add up to 180°, so F + 52 = 180 ⇒ F = 180 - 52 = 128°
Therefore:
A + B + C + D + E + F = 720
(10
- 5) + 108 + (8
- 3) + (14
- 25) + 133 + 128 = 720
Collect like terms:
10
+ 8
+ 14
- 5 + 108 - 3 - 25 + 133 + 128 = 720
Combine like terms:
32
+ 336 = 720
Subtract 336 from both sides:
32
= 384
Divide both sides by 32:
= 12
Use distributive property
5k - 6k -8 = 5x + 4
Combine like terms
-k - 8 = 5x + 4
add 8 to both sides
-k = 5x + 12
k = -5x- 12
<h3>
Answer: 4 dollars and 17 cents</h3><h3>This is the same as saying $4.17</h3>
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Explanation:
15+35.50 = 50.50 dollars is the total before tax is applied.
Take 8.25% of this to get
0.0825*50.50 = 4.16625
and this rounds to 4.17, which is the amount of sales tax charged.
$4.17 = 4 dollars + 17 cents
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Extra info:
The grand total will be 50.50+4.17 = 54.67
Another way to get the grand total is to multiply 1.0825 by the previous subtotal (50.50) getting 50.50*1.0825 = 54.66625 and that rounds to 54.67
The multiplier 1.0825 effectively means "increase by 8.25%"