It should be 13.8. hope this helps
Answer:
8x - 14 = 5x + 34 (alternate exterior angles)
8x - 5x = 34 + 14
3x = 48
x = 48/3
x = 16
5y + 16 + 8x - 14 = 180 (linear pair)
5y + 16 + 8(16) - 14 = 180
5y + 16 + 128 - 14 = 180
5y + 130 = 180
5y = 180 - 130
5y = 50
y = 50/5
y = 10
∠ (8x - 14) = 114 [(8 × 16 -14)=114]
∠ (5x + 34) = 114 [(5 × 16 +34)=114]
∠ (5y + 16) = 66 [(5 × 10 +16)=66]
hope this helps you!
Answer:
270
Step-by-step explanation:
Jones turns out 200 relays to Smith's 180. You set up that basic ratio and make a proportion out of it.
S/J = 180/200
Now you make your proportion
S/J = x/300
But the 2 ratios much remain the same.
180/200 = x / 300 Multiply both sides by 300
180*300/200 = x Multiply the numerator together.
54000/200 = x Do the division
270 = x
Smith will have turned out 270 relays.
First thing you should do is reduce coefficients.
1st equation has all multiples of '2'. Divide by 2
---> x +3y = -6
2nd equation has multiples of 5. Divide by 5.
---> x - y = 2
Now elimination part is easier.
Eliminate 'x' variable by subtracting 2nd equation from 1st.
x + 3y = -6
-(x - y = 2)
----------------------
4y = -8
Solve for 'y'
4y = -8
y = (-8)/4 = -2
Substitute value for 'y' back into 2nd equation:
x - (-2) = 2
x + 2 = 2
x = 0
Solution to system is:
x=0, y =-2
