Answer:
<ABC = 54 degrees
Step-by-step explanation:
Taking the sum of angle on the straight line ABD as 180 degrees
3x+9 + 9x - 9 =180
12x = 180
x = 180/12
x = 15 degrees
Since <ABC = 3x+9 (vertically opposite angles)
<ABC = 3(15)+9
<ABC = 45+9
<ABC = 54 degrees
Answer:
The first one
Step-by-step explanation:
C. 19.42% because you subtract 389.85 from 314.15 which equals 75.7. So then set it up like an algebraic equation. 389.85x=75.7 divide 75.7 by 389.85 to find the decimal. Then you have to move the decimal to the right two places, since it is a percentage. And then round your answer, so c. 19.42% is your answer. Hope this helped! :)
Answer:
Sol: In this question, firstly we have to make the first bracket as a complete square of the second bracket. This we can by adding 2.x.1/x which is equivalent to 2. Then the equation becomes:
6(x2 + 1/x2 +2) – 5(x + 1/x) = 50 { 38 + 6*2)
⇒ 6(x2 + 1/x2 +2) – 5(x + 1/x) – 50 = 0
Now put x + 1/x = y
⇒ 6y2 -5y -50 = 0
⇒ (2y +5)(3y-10)= 0
⇒ y=-5/2 or 10/3
As x is positive therefore, x + 1/x =10/3
On solving further you will get as x=3 or 1/3
You divide 71 by 9 to get 7 8/9
