Based on the shaded region, the value of x which makes this region a gnomon is x = 1.
<h3>What is value of x?</h3>
Based on the dimensions of the side that isn't shaded, and the dimensions of the side that is shaded, the value of x can be found as:
3/ 6 = (1 + 3) / (x + 6 + x)
1/2 = 4 / (6 + 2x)
6 + 2x = 4 / (1/2)
2x = 8 - 6
x = 2/2
x = 1
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The area of the shaded region will be the area of the rectangle minus the area of the white square inside of it:
((x+10)(2x+5)) - ((x+1)(x+1))
First, FOIL both of the areas separately:
(2x^2 + 5x + 20x + 50) - (x^2 + x + x + 1)
Simplify within the parentheses by adding like terms:
(2x^2 + 25x + 50) - (x^2 + 2x + 1)
Now, subtract one equation from the other:
2x^2 + 25x + 50
-x^2 - 2x - 1
= x^2 + 23x + 49
This will be the equation for the area.
Answer:

Step-by-step explanation:
1) the rule of transformation [degr → rad] is:
![\alpha [rad]=\alpha [degr] *\frac{\pi }{180};](https://tex.z-dn.net/?f=%5Calpha%20%5Brad%5D%3D%5Calpha%20%5Bdegr%5D%20%2A%5Cfrac%7B%5Cpi%20%7D%7B180%7D%3B)
2) according to the formula above:
230°=230*π/180=23π/18 [rad].
Answer:
the number if people in line when the booth opened.
Step-by-step explanation:
70-5x: the number goes down by 5 people per minute. So for example if it has been 10 minutes, 50 people would’ve been given their tickets.
Answer:
n = 12.546
Step-by-step explanation:
to find the value of n we need to transpose
n ÷ 102 = 0.123
n = 0.123 × 102
n = 12.546