Answer:
168/(x² +7x)
Step-by-step explanation:
The height of each window is 14/(x+7), and the width of each window is 12/x. The area of each window is the product of its height ans width:
area = (14/(x+7))(12/x) = 168/(x(x +7))
area = 168/(x² +7x)
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<em>Comment on the problem</em>
There is not enough information given to determine suitable values for x. If x is 42, each window is a square 3 3/7 inches on a side.
Answer:
Step-by-step explanation:
a). Let the missing term = a
(a + 7) + (2x - 6) = -4x + 1
(a + 2x) + (7 - 6) = -4x + 1
(a + 2x) + 1 = -4x + 1
(a + 2x) = -4x
a = -4x - 2x
a = -6x
So the equation is,
(-6x + 7) + (2x - 6) = -4x + 1
b). (a² + p + 1) - (q + 5a + r) = 4a² -2a + 7
I have assumed p, q and r are the variables at the blank spaces.
(a² - q) + (p - 5a) + (1 - r) = 4a² - 2a + 7
By comparing both the sides of the equation,
a²- q = 4a²
q = a² - 4a²
q = -3a²
p - 5a = -2a
p = -2a + 5a
p = 3a
1 - r = 7
r = 1 - 7
r = -6
So the equation will be,
(a² + 3a + 1) - (-3a² + 5a - 6) = 4a²- 2a + 7
Mes ∠AKG = mes ∠AKD + mes ∠ DKG
133° = mes ∠ AKD + 87°
133° - 87° = mes ∠AKD
∠AKD = 46°
