Angle X and Angle Y are complementary angles. Angle X is eight times larger than Angle Y. What are the measures of Angle X and Angle Y?

If you know that Angle X and Angle Y are complementary angles, X+Y = 90

Then we translate the sentence "angle x is 8 times larger than angle Y" into mathematical terms.  is means equal, and 8 times means multiplication.  This gives us our second equation

X = 8Y  

We then use the property of substitution to combine the equations into a solvable system.  if X = 8Y and X + Y = 90, we can say that 8Y + Y = 90.  

combining like terms, we have 9Y = 90.  Y then equals 10.  

We then substitute back into the original X = 8Y to get X = 8*10.  X = 80.

The final answer is X = 80 degrees and Y equals 10 degrees

Step-by-step explanation:

$655.61 which is option c

step-by-step explanation:

price of house =   $146,000

initial rate = 3.5%

mortgaged paid in this = 3.5 % of $146,000

                                        =

                                        =$5110

the total years would be = 7

total mortgaged paid = 7 * $5110

                                      =$35770

remaining money = $146000-35770

                                =$110230

new mortgaged payment = 5 % of 110230

                                            =  

                                            =$655.61