Answer:
13) x = 19
14) x = 12.4
Step-by-step explanation:
So, for 13, we know that the whole thing is 90 degrees, a right angle.
So, (4x - 17) + 31 = 90
Now, we'll subtract 31 from 90 to figure out the other angle.
4x - 17 = 59
Now, add seventeen to both sides to get 4x alone...
4x = 76
Divide each by four!
x = 19
Now, to check, we plug this x value into our first equation:
(4(19) - 17) + 31 = 90
(76 - 17) + 31 = 90
(59) + 31 = 90
90 = 90 :: true!
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For 14, we know that the total must be 180, because it's a straight angle.
So, (5x + 22) + 96 = 180
Again, subtract the known angle from each side:
5x + 22 = 84
Subtract 22 from each side to get the exponent by itself...
5x = 62
Divide each side by 5:
x = 12.4
Now, plug it in to check.....
(5*12.4) + 22 + 96 = 180
62 + 22 + 96 = 180
84 + 96 = 180
180 = 180 :: true!
