Answer:
57
Step-by-step explanation:
Angle IHK and JKH are alternate angles.
Alternate angles are equal
Answer:
its 1/3 or 0.3333333
Step-by-step explanation:
Note that f(1) = 6(1)+2 = 8. Next, evaluate g(x) at x=8: g(f(1)) = g(8) = 2(8) + 4/5, or 16 4/5.
Answer:
4)
Step-by-step explanation:
The x value of the center of the circle is negative, so it should be positive in the equation. That rules out numbers 1 and 3. Also, the number on the right side of the equation should be the square of the radius. That rules out 1 and 2, because the circle can be seen to have a radius of 3, therefore making the number on the right side of the equation equal to 3 squared or 9. This leaves us with equation number 4, which is the correct answer.
Options are not shown but…
A square has 4 equal length sides and a right angle
Or two equal length diagonals which are perpendicular
Or 4 right angled corners and two adjacent sides equal
Or perpendicular diagonals with the same midpoint
Using the last one…
Gradient of AC = (5 - 3)/(-3 - 3) = 2/-6 = -1/3
Gradient of BD = (7 - 1)/(1 - -1) = 6/2 = 3
-1/3 x 3 = -1 so AC and BD are perpendicular
Midpoint of AC = ((-3 + 3)/2 , (5 + 3)/2) = (0, 4)
Midpoint of BD = ((1 + -1)/2 , (7 + 1)/2) = (0, 4)
QED