<u>Answer-</u>

<u>Solution-</u>
Given the two polynomials are 
So their product will be,

Distributing the Parentheses,

Applying minus-plus rules,

Simplifying further,

Answer:
The dilation is an enlargement
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor
In this problem Triangles A'B'C' and ABC are similar by AA Similarity Postulate
Let
z------> the scale factor
so

substitute the values


The scale factor is greater than 1
therefore
The dilation is an enlargement
12 = 30% of what
12 = 0.30x
12 / 0.30 = x
40 = x.......so 12 is 30% of 40
Given:
Measure of exterior angle = 164°
The measure of opposite interior angles are x° and 53°.
To find:
The value of x.
Solution:
According to the Exterior Angle Theorem, in a triangle the measure of an exterior angles is always equal to the sum of measures of two opposite interior angles.
Using Exterior Angle Theorem, we get




Therefore, the value of x is 111.
Answer:
4.
Step-by-step explanation:
(sec α - tan α)(sec α + tan α) = sec^2 α - tan^2α
But sec^2 α = 1 + tan^2 α so
sec^2 α - tan^2α = 1 + tan^2 α - tan^2α
= 1
so 1 = (sec α - tan α)(sec α + tan α) = 1/4 * x where x is sec α + tan α
1/4 * x = 1
x = 4.