Answer:
x = 10
Step-by-step explanation:
For the lines to be parallel, the two angles must have the same measure:
80 - x = 90 - 2x
x = 10 . . . . . . . . . add 2x-80
The value of x must be 10 to make the lines parallel.
Answer:
tan (A-B) = ± 4/3
Step-by-step explanation:
COS (A-B) = 3/5
COS² (A-B) = (3/5)² = 9/25 = 1 - sin² (A-B)
sin² (A-B) = 1 - 9/25 = 16/25
sin (A-B) = ± 4/5
tan (A-B) = sin (A-B) / cos (A-B) = (± 4/5) / (3/5) = ± 4/3
Answer:
D) 4
Step-by-step explanation:
−9 + 12 + (unknown) + −8 = −1
<em>Start by going through and testing each option</em>
−9 + 12 + 2 + −8 =
3 + 2 + −8 =
5 + −8 =
−3
−3 ≠ −1
<em>A) 2 is not possible.</em>
−9 + 12 + −2 + −8 =
3 + −2 + −8 =
1 + −8 =
−7
−7 ≠ −1
<em>B) </em>−<em>2 is not possible.</em>
−9 + 12 + −4 + −8 =
3 + −4 + −8 =
−1 + −8 =
−9
−9 ≠ −1
<em>C) </em>−4<em> is not possible.</em>
<em>From this, D is looking like the answer. But to be sure, test it.</em>
−9 + 12 + 4 + −8 =
3 + 4 + −8 =
7 + −8 =
−1
−1 = −1
<em>D) 4 is the answer.</em>
We have the expression

We can already simplify x because it's both on the numerator and denominator

Now we can simplify 425/25 = 17

Remember that

Then

The final result is
Answer:
2.57142857143
Step-by-step explanation: