When two lines are parallel and are intersected by a third line,
Then the pairs of corresponding angles are congruent.
The pairs of Alternate interior angles are congruent.
More names can be given to these angles.
But when we consider all corresponding and alternate angles, all angles are covered.
In the given figure
<2 = <6, <4 = <8, <1 = <5 and <3= <7 are all corresponding angles. ..(1)
Also < 4 = <5 & <3 = <6 are alternate interior angles. ...(2)
If we compare Statement (1) & statement (2)
We get
<1 = <5 = <8 = <4
<3 = <7 = <6 = <2
So all red dotted angles are equal
Also all black dotted angles are equal.
Answer:
CD ≠ EF
Step-by-step explanation:
Using the distance formula
d =
with (x₁, y₁ ) = C(- 2, 5) and (x₂, y₂ ) = D(- 1, 1)
CD =
=
= =
Repeat using (x₁, y₁ ) = E(- 4, - 3) and (x₂, y₂ ) = F(- 1, - 1)
EF =
=
= =
Since ≈
, then CD and EF are not congruent
Answer:
x = 1
Step-by-step explanation:
There are a couple of ways to solve this. One is to graph the left side of the equation, graph the right side of the equation, and look for the point where those graphs intersect. It is at x = 1. The first attached graph shows this solution.
__
Another method for solving such an equation is to subtract one side from the other and look for the value of x that makes the resulting expression zero.
(-2x +3) -(-3(-x) -2) = 0
A graphing calculator doesn't need to have this simplified. If it is simplified, it becomes ...
-5x +5 = 0
So, the graphed line is y = -5x+5. Its x-intercept is x=1, the solution of the original equation. The graph of this is shown in the second attachment.
