Answer: A
Step-by-step explanation:
- Open circle means that x does not equal that number. For example, the open circle on C is on 8, so that shows x is not equal to 8.
- Closed circle means that x does equal that number. For example on A, there is a closed circle on 8, so x could equal 8.
First, we need to solve the equation.
- Subtract 200 frim 1200 -> 125x ≥ 1000.
- Divide 125 from 1000 to isolate the x -> x ≥ 8
So, that means x is bigger than or equal to 8.
Since z is GREATER THAN two angles in the triangle it must be obtuse..
meaning it is GREATER THAN 90 degrees this means that the other two angles cannot equal 90 degrees they have to be less
m∠X + m∠Y < 90°

Since we are translating this graph one unit to the right, replace x with (x-1)
Note: If you are translating a graph to the left by k units, replace x with (x+k), and if by the right, replace x with (x-k)

After simplifying, we now have the following equation:

This is the new equation. Let me know if you need any clarifications, thanks!
Answer:
6
(assuming the units is in centimetres)
Step-by-step explanation:
Hi, hope this helps!
Method 1:
Calculate this shape as a trapezium. This is a trapezium because it has one pair of parallel sides. The way to calculate the area of a trapezium is this:
- Half the sum of the parallel sides
- Multiply the perpendicular height between them
In this case, 4 and 2 are parallel, so we add them together (4 + 2 = 6) then we divide by two (6 ÷ 2 = 3). Then we multiply our answer by the perpendicular length between the two parallel sides (assuming the side on the left is at a right-angle, 3 x 2 = 6).
Method 2:
Calculate this shape as a rectangle + a triangle. If you split the shape so the pointy bit on the right becomes a triangle and the left becomes a square, you can calculate the area without knowing the formula for calculating a trapezium (see above ^).
- Area of the square / rectangle = length x width = 2 x 2 = 4
- Area of the triangle = 1/2 x length x width = 2 x 2 x 1/2 = 4 x 1/2 = 4 ÷ 2 = 2
Then we add the two areas together (4 + 2 = 6).
I hope this helped and I wasn't waffling on :)
Bluey