The base angles of an isosceles triangle are equal
The base angles are 15 degrees, while the vertex angle is 150 degrees
The base angles are given as:
Base = (6a- 3) and (a + 12)
So, we have:

Collect like terms


Divide both sides by 5

Substitute 3 for a in Base = (6a- 3),



So, the base angle is 15 degrees.
The vertex angle is calculated using:

So, we have:


Hence, the vertex angle is 150 degrees
Read more about isosceles triangles at:
brainly.com/question/25739654
QP is the bisector so QPM is half NPM or

A. 8/$12=21/$x then cross multiply.
B. 1/$1.5
Answer:
5 (x + 1) (4 x^2 - 5 x + 3)
Step-by-step explanation:
Simplify the following:
(4 x^2 - 5 x + 3) (5 x + 5)
Factor 5 out of 5 x + 5:
Answer: 5 (x + 1) (4 x^2 - 5 x + 3)