Answer:
Hope this helps you
Step-by-step explanation:
43. A "Square" cornfield, which means all 4 sides has the same lenght BxH
164.000 ft^2=404.96 NO
156.816 ft^2=396 Yes
174724 ft^2=418 Yes
215908 ft^2=464.66 NO
44. it's the same here, if the area is 81. then each side of the square is 9
1st figure: it has 12 sides x9 =108
2nd figure: it has 10 sides x9=90
3rd figure: has also 12 sides x9=108
45. 13^3= 13x13x13 = 2197
46. 25^2= 25x25 = 625
47. 15^3= 15x15x15 = 3375
48. 34^2= 34x34 = 1156
49. 5 root121= 5 (11)=55
50. -6.root36= - 6 (6)= -36
51. 10 root3 (8) = 10(2) = 20
52. -4. root 144= -4(12) = -48
Solution
For this case we can do the following:
11y - 3x = 18
16y -3x = 33
We can multiply the first equation by -1 and we got:
-11y +3x =-18
16y -3x = 33
_______________
16y -11y = 33-18
5y = 15
y= 15/5 = 3
And then solving for x we got
x = -(18 -11*3)/ 3= -15/3 = 5
Answers:
Angle A = 104 degrees
Angle B = 76 degrees
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Supplementary angles add to 180 degrees.
A+B = 180
(3x-7)+(2x+2) = 180
5x-5 = 180
5x-5+5 = 180+5 ... add 5 to both sides
5x = 185
5x/5 = 185/5 .... divide both sides by 5
x = 37
Use x =37 to find
Angle A = 3x-7 = 3*37-7 = 111-7 = 104 degrees
Angle B = 2x+2 = 2*37+2 = 74+2 = 76 degrees
As a check: A+B = 104+76 = 180 so that helps confirm the answer
In order to visualize the transformations, we must execute the transformation in the options
The first transformation would shift triangle ABC 3 units to the left and reflect it across x = 4. This will not map ABC unto DEF.
The second transformation would shift triangle ABC 7 units down and reflect it across x =4. This will map ABC unto DEF,
So, the answer is the second option.
X-y=3=>x=3+y
X+2y=-6
=========
3+y+2y=-6
3+3y=-6
3y=-6-3
3y=-9
y=-3
X+2y=-6
X+2(-3)=-6
X-6=-6
X=0
