Answer:
x = 110
y = 110
Step-by-step explanation:
Here, we are going to apply an important triangle property
The sum of opposite interior angles equal the exterior angle of the third side
Thus, we have that;
y = 70 + 40 = 110
As we can see, the third angle in the triangle will be;
180-70-40 = 110
This is because sum of angles = 180
Thus, applying the exterior angle relationship,
x = 70 + 40 = 110
Answer:
Step-by-step explanation:
hello :
y= x² + x + 1 ....(*)
and
y= -x - 2....(**)
(**)-(*) : 0 = (x²+x+1) -(-x-2)
x²+2x+3 = 0
(x²+2x+1)+2 = 0
(x+1)² = -2 ...... no solutions in R
<span>First find the area of the field
A=WL
A=(110m)(60m)
A=6,600m^2
Now turn the cm into m
becouse 100cm^3=1m^3
660,000,000cm^3=6,600,000m^3
Now find out how many times you can cover the filled
6,600,000m^3/6,600m^2=100m
So it will be 100m thick.
P.S. I'm assuming you meant you jest forgot the m for 110m.</span>
Answer:the price of a senior citizen's ticket is $5
the price of a student tickets is $7
Step-by-step explanation:
Let x represent the price of a senior citizen's ticket.
Let y represent the price of a student tickets.
On the first day of ticket sales the school sold 7 seniors citizen tickets and 14 student tickets for a total of $133. This means that
7x + 14y = 133 - - - - - - - - - - 1
The school took in $89 on the second day by selling 8 senior citizen tickets and 7 student tickets. This means that
8x + 7y = 89 - - - - - - - - - - -2
Multiplying equation 1 by 1 and equation 2 by 2, it becomes
7x + 14y = 133
16x + 14y = 178
Subtracting, it becomes
- 9x = - 45
x = - 45/-9
x = 5
Substituting x = 5 into equation 2, it becomes
8 × 5 + 7y = 89
40 + 7y = 89
7y = 89 - 40 = 49
y = 49/7 = 7
2/3 + 3/5m = 31/15
3/5m = 31/15 - 2/3
3/5m = 31/15 - 10/15
3/5m = 7/5
m = 7/5 * 5/3
m = 35/15 reduces to 7/3 or 2 1/3
-3c - 12 = -5 + c
-3c - c = -5 + 12
-4c = 7
c = -7/4 or - 1 3/4