Step-by-step explanation:
a) Line AB ll DC
b) Line GH acts as a transversal.
c) <10 ; <12 , <9 ; <11
d) <8 = 180° - 120° = <u>60</u><u>°</u><u>(</u><u>Ans</u><u>)</u>
<6 = <u>120</u><u>°</u><u>(</u><u>Ans</u><u>)</u>
<5 = <u>60</u><u>°</u><u>(</u><u>Ans</u><u>)</u>
<4 = <u>60</u><u>°</u><u>(</u><u>Ans</u><u>)</u>
<3 = <u>120</u><u>°</u><u>(</u><u>Ans</u><u>)</u>
<2 = <u>120</u><u>°</u><u>(</u><u>Ans</u><u>)</u>
<1 = <u>60</u><u>°</u><u>(</u><u>Ans</u><u>)</u>
If you're looking for the value of the number, then here's how:
Let's call the number x
4x + 7x = 44
11x = 44
÷ 11
x = 4
So the number you're looking for is 4, if you wanted to know something else then let me know!
Answer:
16384
Step-by-step explanation:
(x - 2)² + 1 = 0
(x - 2)(x - 2) + 1 = 0
x(x - 2) - 2(x - 2) + 1 = 0
x(x) - x(2) - 2(x) + 2(2) + 1 = 0
x² - 2x - 2x + 4 + 1 = 0
x² - 4x + 4 + 1 = 0
x² - 4x + 5 = 0
x = <u>-(-4) ± √((-4)² - 4(1)(5))</u>
2(1)
x = <u>4 ± √(16 - 20)</u>
2
x = <u>4 ± √(-4)
</u> 2<u>
</u> x = <u>4 ± 2i</u><u>
</u> 2<u>
</u> x = 2 ± i
x = 2 + i U x = 2 - i
The solution set is {2 ± i}.
<u />