Because there are 4 inside angles the sum of the four angles must equal 360 degrees.
Add the angles to equal 360:
4x + 3x + 2x + 3x = 360
Simplify:
12x = 360
Solve for x by dividing both sides by 12:
x = 360 /12
x = 30
Now you have x, solve for each angle:
ABC = 4x = 4 x 30 = 120 degrees.
BCD = 3x = 3 x 30 = 90 degrees.
CDA = 2x = 2x 30 = 60 degrees.
DAB = 3x = 3 x 30 = 90 degrees.
C. It's important to know that a four sides figure needs the inside angles when added together need to equal 360 degrees.
2x + y = 10
2x + 3y = 22
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Translation in right or left causes the x coordinate to change while translation in up or down causes the y coordinate to change.
Moving left or down causes the coordinates to be going negative.
Moving right or up causes the coordinates to be positive.
Original point (10, 1).
Down 1 unit:
(10, 1 - 1) = (10, 0)
Left 7 units:
(10 - 7, 0) = (3, 0)
You end at (3, 0)
Step-by-step explanation:
volume of sphere = 288
based on formula, V = 4/3πr³
288 = 4/3(3.14)r³
288 = 4.187(r³)
r³ = 288/4.187
r =
![\sqrt[3]{68.78}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B68.78%7D%20)
r = 4.09
= 4.1
47 - 19 = 28
28/4 = 7
At most they can spend 7 hours
The solution is
T = (47-19)/4
T = 28/4
T = 7
I think that solution is what your teacher is asking for, i'm not certain but ik the answer should be 7 hours.