C. 8^4x
64^2x = 4096x
8^4x= 4096x
Answer: x = 7
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Angle STU is 15x. This is the exterior angle on the right side of the triangle
Subtract this from 180 to get angle RTS
angle RTS = 180 - (angle STU)
angle RTS = 180 - 15x
Focus solely on triangle RTS. If needed, erase the portion that extends out toward point U
If we focus on the triangle only, then angle R = angle T since they are the base angles of the isosceles triangle. We know that triangle RST is isosceles since RS = ST is given to us.
Because angle R = angle T, we know
angle R = 180-15x
angle T = 180-15x
and we also know
angle S = 4x+2
since that's given as well
Add up the three angles and set that sum equal to 180. Then solve for x
R+S+T = 180
(180-15x)+(4x+2)+(180-15x) = 180
(-15x+4x-15x) + (180+2+180) = 180
-26x + 362 = 180
-26x + 362-362 = 180-362
-26x = -182
-26x/(-26) = -182/(-26)
x = 7
Basically, you try to find 2 numbers that divide to 3/2. So, using trial and error, plug in numbers for x in this expression: x/24=3/2, and solve to find the number that makes it true. You end up getting 36/24=3/2. Hope that helps! :)
The answer is 0.79g/cm^2
Density is just mass divided by volume.
So it was 150/189
The answer is 46. Hope this helps!
