Answers:
x = 13
Question mark angle is 64 degrees
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Explanation:
Let y be the angle labeled as a question mark.
This angle y is adjacent to the exterior angle of measure 116 degrees
This means y and 116 must add to 180 to form a straight angle
y+116 = 180
y = 180-116
y = 64
So 64 degrees will replace the question mark.
Then we can find the angle x. Recall that all angles of a triangle add to 180
90+2x+y = 180
90+2x+64 = 180
2x+154 = 180
2x = 180-154
2x = 26
x = 26/2
x = 13
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Alternatively, you can find x through the remote interior angle theorem
The interior angles 90 and 2x add to the exterior angle 116
90+2x = 116
2x = 116-90
2x = 26
x = 26/2
x = 13
This method doesn't involve angle y.
Answer
111.78 mi/hr
Step-by-step explanation:
Answer:
4d+56=L
4(39)+56=L
L=212
Step-by-step explanation:
4 miles per day added on to the already existing 56 miles equals the total length.
When subbing in 39 for the number of days (or variable "d" in the equation), and following the order of operations, you get 212 miles of road total at the end of the 39 days.
For the first quarter you would use the equation of $2000+(2000 times 0.08)=the money for the first quarter or $2160. the second quarters equation is $2000+(2000 times 0.08)2= the money for the second quarter or $2320. the thirds quarters equation is $2000+(2000 times 0.08)3= the money for the third quarter or $2480. The fourth quarters equation is $2000+(2000 times 0.08)4=the money for the fourth quarter or $2640.
