Answer:
Step-by-step explanation:
The coefficients of the x terms are {1, 3, -3}, so the discriminant, b^2 - 4ac, is 3^2 - 4(1)(-3), or 9 + 12, or 21. The positive nature of the discriminant tells us that there are two real, unequal roots. Following the quadratic formula, we get:
-3 ± √21
x = -----------------
2
1a. x = 70
Alternate Interior Angles
1b. x = 120
Alternate Interior Angles
1c. x = 110
Corresponding Angles
2a. x = 100
Alternate Interior Angles
y = 80
Supplementary Angles (with x)
2b. x = 75
Corresponding Angles
y = 105
Supplementary Angles (with x)
2c. x = 70
Same-Side Interior Angles
y = 110
Supplementary Angles (with x)
Try the rest on your own!
Expand 8(5-r)/5=-2r as indicated: 40 - 8r
----------- = - 2r
5
Multiply both sides by 5, obtaining 40 - 8r = - 10r
Combine like terms: 40 = - 2r
Divide both sides by -2: -20 = r
The solution to 8(5-r)/5=-2r is -20. Verify this by subbing -20 for r in the given equation.
