Answer:
Step-by-step explanation:305,464
Answer:
<em>Option C; 3x - y = -27 and x + 2y = 16</em>
Step-by-step explanation:
1. Let us consider the equation 21x - y = 9. In this case it would be best to keep the equation in this form, in order to find the x and y intercept. Let us first find to y - intercept, for the simplicity ⇒ 21 * ( 0 ) - y = 9 ⇒ y = - 9 when x = 0. Now if we take a look at the first plot of line q, we can see that the x value is -9 rather than the y value, so this equation doesn't match that of line q. This would eliminate the first two options being a possibility.
2. Now let us consider the equation 3x - y = -27. Let us consider the x-intercept in this case. That being said, ⇒ 3x - ( 0 ) = -27 ⇒ 3x = -27 ⇒ x = -9 when y = 0. As we can see, this coordinate matches with one of the coordinates of line q, which might mean that the second equation could match with the equation for line v.
3. To see whether Option 3 is applicable, we must take a look at the 2nd equation x + 2y = 16. Let us calculate the y - intercept here: ( 0 ) + 2y = 16 ⇒ 2y = 16 ⇒ y = 8 when x = 0. Here we can see that this coordinate matches with that of the second coordinate provided as one of the points in line v. That means that ~ <em>Answer: Option C</em>
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If angle ec is a bisector then angles Bec and ced are the same making them both 4x+1. we know a line segment equals 180°. so if we take the 11x-12 and add it to 2(4x+1) we end up with 19x-10=180. you add 10 to both sides and get 19x=190 then you divide by both sides. you'll end up with x=10. you plug In the 10 with aeb and aec and add them together to get 139°. if you're looking for the equation, it's 15x-11.
45. 3/5 is nearer to 1/2
46. 1 2/6 is nearer to 1 1/2. 1 2/6 can be simplified to 1 1/3
47. 12/10 is nearer to 1 1/2. 12/10 can be simplified to 1 2/10 and further simplified to 1 1/5.
48. 2/18 is nearer to 0. 2/18 can be simplified to 1/9 or 0.11
49. 1 8/10 is nearer to 1 1/2. 1 8/10 can be simplified to 1 4/5
50. 1 12/15 is nearer to 1 1/2. 1 12/15 can be simplified to 1 4/5.
Answer:
Area of the shaded region = 1.92 cm²
Step-by-step explanation:
From the picture attached,
Area of the shaded region = Area of the sector OMN - Area of the triangle OMN
Area of sector OMN = 
Here, θ = Central angle of the sector
r = radius of the sector
Area of sector OMN = 
= 15.708 square cm
Area of ΔOMN = 2(ΔOPN)
Area of ΔOPN = 
Area of ΔOMN = OP × PN
In ΔOPN,
sin(25°) = 
PN = ONsin(25°)
= 6sin(25°)
= 2.536 cm²
cos(25°) = 
OP = ONcos(25°)
OP = 6cos(25°)
OP = 5.438 cm
Area of ΔOMN = 2.536 × 5.438
= 13.791 cm²
Area of the shaded region = 15.708 - 13.791 = 1.917 cm²
≈ 1.92 cm²
