Answer:

Step-by-step explanation:

According to the Alternate Exterior Angles Theorem, "when two lines are cut by a transversal, the resulting alternate exterior angles are congruent."
This means that the two expressions above are to be set equal to each other because they are representative of two alternate exterior angles, which are congruent:

Add
to both sides of the equation:

Subtract
from both sides of the equation:

Divide both sides of the equation by the coefficient of
, which is
:

~
Check your work by substituting
for
in the initial equation:


It's correct!
Answer:
Angle 6 forms a pair of alternative exterior angles with angle 3.
A decimal point is a dot or period that is placed after a whole number. Every number has a decimal point. For example, 1.243 has one. Also, 5. has a decimal point. They are just sometimes invisible. When you use a decimal point, it means that the number has a part of something added to it.
Answer:

Step-by-step explanation:
The given matrix addition is

We need to find the elements of matrix B.
Let 
Substitute the value of matrix.

After addition of two matrix we get

On equating both sides.






Therefore, the elements of matrix B are
.
There is only one solution in the given equation -y2 − [-5y − y(-7y − 9)] − [-y (15y + 4)] = 0. In solving this problem, apply first PEMDAS (parenthesis, exponents,multiplication, division, addition, subtraction). Then equation will transform into -y2+5y-7y2-9y+15y2+4y=0. Combine terms with same power and achieve 7y2=0. Divide both sides with 7 and perform square root of zero. Since the root is zero, we have one solution of the given equation which is y=0.