Answer:
x=1/2, y=-2. (1/2, -2).
Step-by-step explanation:
4x-2y=6
y=-2x-1
-------------
4x-2(-2x-1)=6
4x+4x+2=6
8x+2=6
8x=6-2
8x=4
x=4/8
simplify
x=1/2
y=-2(1/2)-1
y=-2/2-1
y=-1-1
y=-2
The value of the length of BC is 45 units
<h3>How to determine the length BC?</h3>
The given parameters are:
BC = 15x
AD = 32x - 2
EF = 20.5x + 8
Where the parallel bases are AD and BC and the midsegment is EF
By the midsegment theorem, we have
2 * EF = AD + BC
Substitute the known values in the above equation
2 * (20.5x + 8) = 15x + 32x -2
Open the bracket
41x + 16 = 15x + 32x - 2
Evaluate the like terms
6x = 18
Divide both sides by 6
x = 3
Substitute x = 3 in BC = 15x
BC = 15 * 3
Evaluate
BC = 45
Hence, the value of the length of BC is 45 units
Read more about isosceles trapezoid at:
brainly.com/question/10187910
#SPJ1
You could think about it as 7 three times or you could think about it as 3 seven times.
Answer:
3960 feet
Step-by-step explanation:
9514 1404 393
Answer:
Step-by-step explanation:
Assuming you're interested in the number of each that were sold, the system of equations will express the relation for total sold, and the relation for total revenue. We have used the variable c and p to represent numbers of cakes and pies sold, respectively. Your choices may use x and y, instead.
__
The solution can be found by subtracting 6 times the first equation from the second. That tells you 6 cakes were sold, hence 4 pies.