Answer:
third option and last option are the correct answers
D is your answer. The last dot
Answer:
See below ~
Step-by-step explanation:
<u>A.</u>
- m∠5 = m∠10 (alternate angles)
- m∠10 = 69°
<u>B.</u>
- ∠4 + ∠14 = 180° (∠14 is equal to ∠8 as they are corresponding, and ∠8 is supplementary to ∠4)
- ∠14 = 180° - 114°
- ∠14 = 66°
<u>C.</u>
- ∠5 = ∠12 (as ∠10 = ∠12 by alternate interior angles, and ∠10 = ∠5 as alternate angles)
- ∠12 = 86°
Answer:
x + 4 - 3√2 and x + 4 + 3√2
Step-by-step explanation:
When other methods seem to difficult to apply, try using the quadratic formula:
Here a = 1/2, b = 4 and c = -1.
Then the "discriminant" is b^2 - 4ac, or
(4)^2 - 4(1/2)(-1), or 16 + 2 = 18
Then the roots are:
-4 ± √18, or -4 ± 3√2
and thus the factors are x + 4 - 3√2 and x + 4 + 3√2
x = ---------------------
