Quadrilateral ( trapezoid )
Answer:
{x,y,z}={1,3,4}
Step-by-step explanation:
System of Linear Equations given :
[1] x + 3y - 2z = 2
[2] 3x + 2y + z = 13
[3] -2x + 3y - 3z = -5
Solve by Substitution :
// Solve equation [2] for the variable z
[2] z = -3x - 2y + 13
// Plug this in for variable z in equation [1]
[1] x + 3y - 2•(-3x-2y+13) = 2
[1] 7x + 7y = 28
// Plug this in for variable z in equation [3]
[3] -2x + 3y - 3•(-3x-2y+13) = -5
[3] 7x + 9y = 34
// Solve equation [3] for the variable y
[3] 9y = -7x + 34
[3] y = -7x/9 + 34/9
// Plug this in for variable y in equation [1]
[1] 7x + 7•(-7x/9+34/9) = 28
[1] 14x/9 = 14/9
[1] 14x = 14
// Solve equation [1] for the variable x
[1] 14x = 14
[1] x = 1
// By now we know this much :
x = 1
y = -7x/9+34/9
z = -3x-2y+13
// Use the x value to solve for y
y = -(7/9)(1)+34/9 = 3
// Use the x and y values to solve for z
z = -3(1)-2(3)+13 = 4
Solution :
{x,y,z} = {1,3,4}
Answer:
Step-by-step explanation:
Your start amount is $80
And you’ll be adding 5 every week
Y=80+5x
Y is your total
x is the amount of weeks
Answer:
71 degrees
Step-by-step explanation:
please someone help me with this ASAP especially with the workout!!
From the triangle shown;
YX² = YZ² + XZ² - 2(YZ)(XZ) cos Z
28² = 25² + 23² - 2(25)(23) cos Z
784 = 625 + 529- 1150 cos Z
784 - 1154 = -1150cos Z
-370 = -1150cos Z
cos Z = 370/1150
cos Z = 37/115
cos Z = 0.3217
Z = arccos 0.3217
Z = 71.23
hence the measure of <Z is 71 degrees
