Answer:
x=23°
Step-by-step explanation:
93°+(3x+18)°=180°
93°+3x+18°=180°
111°+3x=180°
3x=180°-111°
3x=69°
x=69°:3
x=23°
Jon earns 6 dollars per hour.
We know this because, if he gets paid $20 and buys $2 worth of gasoline, his profit is $18.
Then, we divide 18 by the number of hours he worked, 3, and thus, Jon earns $6/hr.
Answer: x > 486
Explanation:
We have some number x and we divide that by 18. The result is larger than 27. To find possible values for x, we need to undo what is happening to x. The opposite of division is multiplication. We multiply both sides by 18 to cancel out the "18" on the left side, which will isolate x to get it to its own side.
This is what the steps look like
x/18 > 27
18*( x/18 ) > 18*27 .... multiplying both sides by 18
x > 486 ... note the 18's cancel on the left side
So this means x is some number greater than 486.
|DF| = |DE| + |EF| |DF| = 9x -36 |DE| = 47 |EF| = 3x+10 Substitute: 9x - 39 = 47 + 3x + 10 9x - 39 = 3x + 57 |+39 9x = 3x + 96 |-3x 6x = 96 |:6 x = 16 Put the value of x to the equation |EF| = 3x + 10 |EF| = (3)(16) + 10 = 48 + 10 = 58 Answer: |EF| = 58
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