Answer: OPTION B.
Step-by-step explanation:
When parallel lines are cut by a transversal several angles are formed.
There are pairs of angles called "Alternate Interior angles".
These angles are not adjacent and they are located between the parallel lines, and on opposite sides of the transversal.
By definition, they are are congruent, or, in other words the measure of Alternate Interior angles are equal.
In this case, you can identify that the 
and the 
are Alternate Interior angles.
Based on the data given in the exercise, you know that the measure of the angle 8 is:
So, You can determine that the angle 2 have the same measure. This is:
1. The graph is a parabola.
2. The parabola opens up, because there's no negative number in front of 
.
3. The vertext is (5,-1), because of the vertex form.
This means that that -1 will be the least y-value used on the graph and the garph will open up from there.
The range is (-1, infinity) or { y | y > -1 }.
Answer:
212.5
Step-by-step explanation:
25x17=425
425/2=212.5
Answer:
The gradient of the line segment between the two points is -1
Step-by-step explanation:
The gradient of the line segment between two points is also known as the slope,
We can find this by using the formula; y₂ - y₁ / x₂ - x₁
The points given to us are;(-1,2) and (-2,3).
This implies x₁ = -1 , y₁=2 x₂ = -2 y₂= 3
We can now proceed to insert our values into the formula;
Gradient = y₂ - y₁ / x₂ - x₁
= 3 - 2 / -2-(-1)
= 1 / -2 + 1
=1/-1
Gradient = -1
Therefore the gradient of the line segment between the two points is -1
