There are a number of possible combinations for this open-ended question, so here's an example question and answer, in which the two are non-related:
James' car is going at 45 miles per hour, and that is 42% of his maximum speed. How much slower does James have to go to be 27% of his maximum speed?
Amy's car used to be able to go at 45 miles per hour as 42% of her maximum speed, but due to the new upgrade, 45 miles per hour is now only 27% of her maximum speed.
Answer:
1. x = 16
2. x = 17
Step-by-step explanation:
1. The sum of the exterior angles of any polygon is 360 degrees. So, to find x, we can add up all of the angle measures and set them equal to 360, then solve for x:
46 + 93 + 47 + 4x + 62 + 3x = 360
Combine like terms:
248 + 7x = 360
Subtract 248 from both sides of the equation to isolate 7x:
7x = 112
Divide both sides by 7 to find the value of x:
x = 16
2. The sum of the interior angles for a 5-sided polygon is 540 degrees. So, to find x, we can add up all of the angle measures and set them equal to 540, and then solve for x:
5x + 139 + 9x + 71 + 92 = 540
Combine like terms:
14x + 302 = 540
Subtract 302 from both sides to isolate the 14x:
14x = 238
Divide both sides by 14 to find the value of x:
x = 17
I hope this helps :)
Q1
Answer:
Step-by-step explanation:
explanation for second step:
you divide each side by 3 to get rid of the '3' in '3x'
Multiply the first equation by -2. It turns into 4x+18y=50 and the other one stays -4x-9y=-23. Then you "eliminate" the equations by "adding" them. Set it up like this:
4x+18y=50
+
-4x-9y=-23
4x-4x= 0. 18y-9y= 9y and 50-23= 27
SO: 9y= 27 and y= 3
And then you plug that in to one equation: 4x +18(3)= 50. 4x= 50-(18*3)
4x= -4, so x=-1.
Plug it back in to check!
Hope this helps. Happy solving! :)
