Answer:
x = 100°
Explanation:
The polygon has 6 sides, meaning it's a hexagon. In the picture you can see the following steps under #1:
(6-2) x 180° = 4 x 180 = 720°
720 is the total amount that all the angles should add up to, including the missing number x.
To solve for x add all of the angles up:
120 + 156 + 145 + (x + 9) + x + 90 = 720
520 + 2x = 720 (subtract 520 from both sides)
-520
2x = 200 (divide 200 by 2 to have x on its own)
x = 100°
To make sure it's correct, plug in the value (100°) for x in the original equation to check the answer:
120 + 156 + 145 + 100 + 9 + 100 + 90 = 720
720 = 720 Correct
Answer:
41
Step-by-step explanation:
Answer:
Step-by-step explanation:
This is an exponential decay, because the base is fraction < 1
I did this before the correct answer is.
Using the given equation of,
V = lwh
The volume of the given prism in the figure is,
V = (x² - x / 4x + 1) (2x - 5)(24x² + 6x / x - 1)
By factoring,
V = ((x)(x - 1) / (4x + 1))(2x - 5)((6x)(4x + 1) / (x - 1))
Eliminating terms appearing in both the denominator and numerator,
V = (x)(2x -5)(6x)
Answer:
504 in
Step-by-step explanation:
8 × 12 × 6 = 576
Then find the volume of the part that is taken out.
2 × 6 × 6 = 72
and now subtract them
576 - 72 = 504
so your answer is 504in
