If you're factoring, your answer is
(4x - 3)(4x + 5)
You'll work it out this way:
16x^2 + 8x - 15
Since there's no GCF here, you multiply the first and third terms, giving you -240. Your next step is to find two numbers that have a sum of 8 and a product of -240. These numbers are 20 and -12. Plug those in and you've got:
16x^2 + 20x - 12x - 15
From here you divide it into two binomials. These are (16x^2 + 20x) and (-12x - 15).
When you take out the greatest common factors (4x and -3), they become:
4x(4x + 5) - 3(4x + 5)
Then you group what's outside of the parentheses together (4x - 3)
And bring what's inside of the parentheses down (4x + 5).
This brings your answer to
(4x - 3)(4x + 5)
Answer:
1. Sum of the interior angles = 720°
2. (6x) + (5x + 26.5) + (7x - 8) + (4x + 21.5) + (5x + 19) + (10x + 13.5) = 720
3. Angle A = 6x = 6(17.5) = 105
Angle B = (5x + 26.5) = 114
Angle C = (7x - 8) = 114.5
Angle D = (4x + 21.5) = 91.5
Angle E = (5x + 19) = 106.5
Angle F = (10x + 13.5) = 188.5
Step-by-step explanation:
1. The sum of the interior angles = (The number of sides - 2) times 180
The sum of the angles of this polygon with 6 sides is 6 - 2) times 180 = 720°.
2. ∠A + ∠B + ∠C + ∠D + ∠E + ∠F = 720°
(6x) + (5x + 26.5) + (7x - 8) + (4x + 21.5) + (5x + 19) + (10x + 13.5) = 720
37x + 72.5 = 720 Simplify adding x terms and numbers)
37x = 647.5 Subtract 72.5 from both sides
x = 17.5 Dividing both sides by 37
Solve for each angle using x = 17.5
3. Angle A = 6x = 6(17.5) = 105
Angle B = (5x + 26.5) = 114
Angle C = (7x - 8) = 114.5
Angle D = (4x + 21.5) = 91.5
Angle E = (5x + 19) = 106.5
Angle F = (10x + 13.5) = 188.5
Answer:
8/15 (fraction) or 0.5333333333333...
Step-by-step explanation:
If Kate is measuring the average amount of meteors per minute, then having the ten in there compared to say the 4, it will create an uneven balance in the average, however if she is using a median or the other method, it will not greatly matter.