Answer:
x = -6 and y = -9
y = 0
Step-by-step explanation:
A vertical line is an x = equation. No matter what y equals, x will always be -6, so it's x = -6. A horizontal line is a y = equation. No matter what x equals, y will always be -9, so it's y = -9. Finally the equation of the x axis is simply y = 0 since any point on that horizontal line has a y coordinate of 0.
Answer:
72
Step-by-step explanation:
<1 and <2 are not equal to each other
Let the angle directly above angle 2 (on the right side of the line) be angle 3
<1 and <3 are corresponding angle, which means they are equal
<2 and <3 are supplementary angles since the form a line
<2 + <3 = 180
We know <1 = <3
<1 + <3 = 180
We are given <1 = 2x+12 and <2 = 3x+18
2x+12 + 3x+18 = 180
Combine like terms
5x+30 = 180
Subtract 30 from each side
5x+30-30 = 180-30
5x= 150
Divide each side by 5
5x/5 = 150/5
x=30
<1 = 2x+12
Substitute 30 in for x to find angle 1
= 2*30 +12
=60+12
= 72
Answer:
Step-by-step explanation:
1)
The solution to the system (c , p) represent the cost of each hot cocoa is c and the cost of each pretzel is p
2)
Nothing changed just two equations were added to form another third equation which represent the total cost of 7 cups of hot cocoa and 8 pretzels
so the solution (c , p) would still be the same as the solution represents cost of each cup of hot cocoa c and cost of each pretzel p
3)
No adding both the equations does not help us solve the equation, It just forms another equation further making the question longer and the third equation is not needed because to solve a system of equations with 2 variables to equations are enough, in this case c and p To solve the system of equations we multiply the first equation with 2 and the second equation with 5 and then subtract equation 1 from equation 2
![Equation\ 1 \\\\5c+4p=18.40\\Multiplying\ it\ with\ 2\\10c+8p=36.8\\\\Equation\ 2\\\\2c+4p=11.20\\Multiplying\ equation\ 2\ with\ 5\\10c+20p=56\\\\Now\ subtract\ equation\ 2\ from\ equation\ 1\\\\10c-10c+8p-20p=36.8-56\\0-12p=-19.2\\-12p=-19.2\\p=-19.2/-12\\p=1.6\\](https://tex.z-dn.net/?f=Equation%5C%201%20%5C%5C%5C%5C5c%2B4p%3D18.40%5C%5CMultiplying%5C%20it%5C%20with%5C%202%5C%5C10c%2B8p%3D36.8%5C%5C%5C%5CEquation%5C%202%5C%5C%5C%5C2c%2B4p%3D11.20%5C%5CMultiplying%5C%20equation%5C%202%5C%20with%5C%205%5C%5C10c%2B20p%3D56%5C%5C%5C%5CNow%5C%20subtract%5C%20equation%5C%202%5C%20from%5C%20equation%5C%201%5C%5C%5C%5C10c-10c%2B8p-20p%3D36.8-56%5C%5C0-12p%3D-19.2%5C%5C-12p%3D-19.2%5C%5Cp%3D-19.2%2F-12%5C%5Cp%3D1.6%5C%5C)
Now for the value of c we insert the value of p in any equation, lets insert it in equation 1
![5c+4p=18.40\\5c+4(1.6)=18.40\\5c+6.4=18.40\\5c=12\\c=12/5\\c=2.4](https://tex.z-dn.net/?f=5c%2B4p%3D18.40%5C%5C5c%2B4%281.6%29%3D18.40%5C%5C5c%2B6.4%3D18.40%5C%5C5c%3D12%5C%5Cc%3D12%2F5%5C%5Cc%3D2.4)
Answer:
Length C, B= 90 mi
Step-by-step explanation:
The small square in the corner in any shape always represent 90°
<em>Hope it helps!!</em>
Answer:
8
Step-by-step explanation:
sqrt((x-1)/2)^2))=3.5
square root and squared cancel out
(x-1)/2 = 3.5
x-1 = 7
x = 8