Answer:
see explanation
Step-by-step explanation:
Given the 3 equations
3x + 5y + 5z = 1 → (1)
x - 2y = 5 → (2)
2x + 4y = 11 → (3)
Use (2) and (3) to solve for x and y
Multiply (2) by 2
2x - 4y = 10 → (4)
Add (3) and (4) term by term
4x = 21 ( divide both sides by 4 )
x = 
Substitute this value of x into (3)
2 × + 4y = 11
+ 4y = 11 ( subtract from both sides )
4y = 
( divide both sides by 4 )
y = 
Substitute the values of x and y into (1) and solve for z
3 × + 5 × + 5z = 1
+ 
+ 5z = 1
+ 5z = 1 ( subtract from both sides )
5z = - 
( divide both sides by 5 )
z = - 
Solution is
x = , y = , z = -
<h3>
Answer: 35</h3>
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Explanation:
A full circle is 360 degrees. The pie slices shown represent the various angles of each slice. Each angle expression in that diagram will add up to 360.
Doing this will help us solve for x.
(angleVQR)+(angleRQS)+(angleSQT)+(angleTQU)+(angleUQV) = 360
(21x+4) + (14x-4) + (5x+5) + (5x+5) + (80) = 360
45x+90 = 360
45x = 360-90 ... subtract 90 from both sides
45x = 270
x = 270/45 ..... divide both sides by 45
x = 6
We'll then plug this x value into the angle expression for angle TQU
angle TQU = 5x+5
angle TQU = 5*6+5
angle TQU = 35 degrees
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Extra info:
- angle VQR = 130 degrees
- angle RQS = 80 degrees (same as angle UQV)
- angle SQT = 35 degrees (same as angle TQU)
- Starting at angle VQR, and working clockwise, the five angles are: 130, 80, 35, 35, 80. Note that 130+80+35+35+80 = 360.
Put ur equations in y = mx + b form and compare the slopes(m) and the y intercepts (b). Parallel lines will have the same slope but different y intercepts.
A) y = 2x + 4....slope is 2, y int is 4
B) 2y = x + 4
y = 1/2x + 2.....slope is 1/2 and y int is 2
C) 2x + 2y = 4
2y = -2x + 4
y = -x + 2.....slope is -1 and y int is 2
D) 2x - y = 4
-y = -2x + 4
y = 2x - 4....slope is 2 and y int is -4
ur parallel lines will have same slope and different y int.....so ur answer is A and D.
