<h3>
Answer: x = 14</h3>
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Work Shown:
Refer to the diagram below. I've added a line segment and two variables y and z. This forms two isosceles triangles.
The central angle 56 degrees subtends the same arc as the inscribed angle y. By the inscribed angle theorem, this means y = 56/2 = 28. The inscribed angle is always half of the central angle (when both angles subtend the same arc).
Focus on the smaller isosceles triangle that has angles 56, z and z. Those three angles add to 180
z+z+56 = 180
2z+56 = 180
2z = 180-56
2z = 124
z = 124/2
z = 62
Now focus on the larger isosceles triangle (angles y = 28, x+z and x+z)
We'll use the same trick as before.
(x+z)+(x+z)+(y) = 180
(x+62)+(x+62)+(28) = 180 ... plug in z = 62 and y = 28
2x+152 = 180
2x = 180-152
2x = 28
x = 28/2
x = 14
Answer:
Step-by-step explanation:
use desmos.com
135 divided by 18 is 7.5 so I would guess 7 each week and maybe possibly 8 on some weeks
Answer:
45
Step-by-step explanation:
plug in 3 where the xs are
2(3)(6(3)-5(3))+(3)^2(5(3)-4(3)=45
2(3)=6
6(3)=18
-5(3)=15
(3)^2=9
5(3)=15
-4(3)=-12
Answer:
9%
Step-by-step explanation:
percent increase is calculated as
× 100%
increase = $3.87 - $3.54 = $0.33 , then
% increase =
× 100% ≈ 9% ( to the nearest whole percent )