Answer:
x = 9.25
Step-by-step explanation:
It is given that ABC is an isosceles triangle.
m∠A = 43° and m∠C = (6x+13)°
We need to find the value of x.
The sum of a triangle is equal to 180°.
∠A is the vertex angle. For a triangle sum of angle of triangle is equal to 180°
∠A+∠B +∠C=180
43+∠B+(6x+13)°=180
6x+∠B+56=180
6x+∠B = 124
∠B =124-6x
For an isosceles triangle,
∠B = ∠C
124-6x = (6x+13)
124-13 = 6x+6x
111 = 12x
x = 9.25
So, the value of x is 9.25.
Like every quadratic equation

where 

we can factor out 

And find the two solutions

In this case, the solutions are

If you know that
are the solutions to the quadratic equation

then you can factor the poynomial as

So, in this case, you have

Answer:
2 • (x2 + 5x + 73)
Step-by-step explanation:
Step-1 : Multiply the coefficient of the first term by the constant
Step-2 : Find two factors of 73 whose sum equals the coefficient of the middle term, which is 5
Pulling out like terms/factors
Trying to factor by splitting the middle term
Answer: 2 • (x2 + 5x + 73)
Hope this helps.
QUESTION A
The given multiplication problem is

Factor each term to obtain;

Cancel out the common factors to obtain;

Simplify to get;

QUESTION B
The given multiplication problem is

This the same as

This simplifies to;

QUESTION C
The given problem is

This is the same as


This simplifies to

QUESTION D.
The given expression is

Factor the 54 to obtain;

Cancel the common factors to get;

This simplifies to;

QUESTION E
The given problem is

Convert the mixed numbers to improper fraction to obtain;


Cancel the common factors to get;


QUESTION F
The multiplication problem is

Convert the mixed numbers to improper fractions to obtain;

Cancel out the common factors to get;

Simplify;

QUESTION G
The given problem is

Convert to improper fractions;

Cancel out the common factors to get;


Convert back to mixed numbers

QUESTION H
The given expression is

Convert to improper fraction to get;

Cancel common factors to get;

Simplify

Convert back to mixed numbers;

Answer:
y-2=1/3(x+6)
Step-by-step explanation:
y-2=1/3(x-(-6))
y-2=1/3(x+6)