Solve for x: 3 over 3 x plus 1 over quantity x plus 4 equals 10 over 7x .
x = −3
x = 3
x = −3 and x = 3
no solution

Step-by-step explanation:

we have

The domain of the function is all real numbers except the zero, because the denominator can not be zero

Multiply by both sides

Divide by both sides

we know that

The formula to solve a quadratic equation of the form is equal to

in this problem we have

so

substitute in the formula

remember that

The domain of the function is all real numbers except the zero

so

the solution is

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.