Answer:a = - 2
b = - 3
c = 3
Step-by-step explanation:
a + 5b - c = - 20 - - - - - - - - - 1
4a - 5b + 4c = 19 - - - - - - - - - 2
-a - 5b - 5c = 2 - - - - - - - - - - - 3
Adding equation 1 and equation 2, it becomes
- 6c = - 18
c = - 18/ - 6 = 3
Multiplying equation 2 by 1 and equation 3 by 4, it becomes
4a - 5b + 4c = 19
-4a - 20b - 20c = 8
Adding both equations, it becomes
- 25b - 16c = 27
- 25b = 27 + 16c = 27 + 16 × 3
- 25b = 75
b = 75/- 25 = - 3
Substituting b = - 3 and c = 3 into equation 1, it becomes
a + 5 × - 3 - 3 = - 20
a - 15 - 3 = - 20
a - 18 = - 20
a = - 20 + 18 = - 2
<h3>Corresponding angles =
angle 1 and angle 5</h3>
They are on the same side of the transversal cut (both to the left of the transversal) and they are both above the two black lines. It might help to make those two black lines to be parallel, though this is optional.
Other pairs of corresponding angles could be:
- angle 2 and angle 6
- angle 3 and angle 7
- angle 4 and angle 8
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<h3>Alternate interior angles = angle 3 and angle 5</h3>
They are between the black lines, so they are interior angles. They are on alternate sides of the blue transversal, making them alternate interior angles.
The other pair of alternate interior angles is angle 4 and angle 6.
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<h3>Alternate exterior angles = angle 1 and angle 7</h3>
Similar to alternate interior angles, but now we're outside the black lines. The other pair of alternate exterior angles is angle 2 and angle 8
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<h3>Same-side interior angles = angle 3 and angle 6</h3>
The other pair of same-side interior angles is angle 4 and angle 5. They are interior angles, and they are on the same side of the transversal.
Given:
Principal = 17,000
rate = 10.7%
term = x/360
interest = 1,121.72
Interest = Principal * rate * term
1,121.72 = 17,000 * .107 * x/360
1,121.72 = 1,819x / 360
1,121.72 * 360 = 1,819x
403,632 / 1,819 = x
221.90 = x
Lauren Michelle will have to wait 222 days for her investment to earn $1,121.72
Given:
Principal = x
rate = 9%
term = 10 months
interest = 1,687.50
Interest = Principal * rate * term
1,687.50 = x * 0.09 * 10/12
1,687.50 = x * 0.075
1,687.50 / 0.075 = x
22,500 = x
The amount Sandra Leatherwood invested was $22,500.
Answer:
(A) 4.03 x 10^14
Step-by-step explanation:
403,000,000,000,000
Scientific notation is of the form
a * 10 ^b
where a is a number from 1 to a number less than 10
Put the decimal in the number
403,000,000,000,000.
We need to move the decimal 14 places to the left to get the number to be between 1 and 10
4.03000000000000 so the b is 14
Since we moved it to the left b is positive
We can drop the extra zeros at the end (after the last nonzero digit)
4.03 *10^14
I’m not sure but I’m guessing it could be 8 ft
