gomezjuana123
15.10.2020 •
Mathematics
TIME REMAINING
59:45
Given: mAngleORP = 80°
mAngleORN = (3x + 10)°
Prove: x = 30
3 lines are shown. A line with points P, R, N intersects a line with points M, R, O at point O. A line extends from point R to point L between angle M R P. Angle N R O is (3 x + 10) degrees and angle P R O is 80 degrees.
Which statement could be used in step 2 when proving x = 30?
A 2-column table with 5 rows. Column 1 is labeled statements with the entries measure of angle O R P = 80 degrees semicolon measure of angle O R N = (3 x + 10) degrees, blank, blank, blank, blank. Column 2 is labeled reasons with the entries given, blank, blank, blank, blank.
AngleORP and AngleORN are a linear pair
AngleORP and AngleORN are vertical angles
80 = 3x +10
x = 30
Solved
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Ответ:
Ответ:
The price of one adult ticket is $11 and the price of one student ticket is $6.
Step-by-step explanation:
We can write a system of equations to represent the situation. Let a represent the price of adult tickets sold and s represent the price of student tickets.
On the first day, nine adult tickets and 12 student tickets were sold for a total of $171. Hence:
And on the second day, 13 adult tickets and 14 student tickets were sold for a total of $227. Hence:
This yields a system of equations:
We can solve using elimination. Note that the LCM of 12 and 14 is 84. Hence, we can multiply the first equation by -7 and the second by 6:
Adding the two equations together now produces:
Therefore, the price of one adult ticket is $11.
To find the price of one student ticket, use either one of the original equations:
In conclusion, the price of one adult ticket is $11 and the price of one student ticket is $6.