OpenStudy (pucusana):

please help, 1. A pair of congruent angles is described as follows. The measure of one angle is 20 more than twice a number, and the other angle is 68 less than 4 times the same number. What is the size of the two angles? a. Define the variable: (1 point) b. Find an expression for the first and second angle. (1 points) c. Write the equation that represents this situation. (2 points) d. Solve for x. (2 points) e. Answer in complete sentence: (1 points)

1 year ago
OpenStudy (anonymous):

well what are you solving for in this situation? That's the variable

1 year ago
OpenStudy (pucusana):

thanks

1 year ago
OpenStudy (pucusana):

now i need help with the other ones

1 year ago
OpenStudy (anonymous):

Ok So let's say x is the angle So 2 times x plus 20 is the expression for the 1st angle And 68 less than 4 times x is the expression for the other angle What would be the mathematical representation of those expressions?

1 year ago
OpenStudy (pucusana):

x?

1 year ago
OpenStudy (anonymous):

Well yes but how would you write "20 more than 2 times x)

1 year ago
OpenStudy (pucusana):

2(x+10)?

1 year ago
OpenStudy (anonymous):

Yeah That's correct but just a bit unnecessary to have the two on the outside Just distribute making it 2x+20

1 year ago
OpenStudy (anonymous):

Now do the same thing using the "68 less than 4 times x)

1 year ago
OpenStudy (pucusana):

-4x+60?

1 year ago
OpenStudy (anonymous):

Umm no Where did you get 60 from when it says 68 Also try switching your positives and negatives around

1 year ago
OpenStudy (pucusana):

4x+68?

1 year ago
OpenStudy (anonymous):

Close Less than means you are subtracting

1 year ago
OpenStudy (pucusana):

4x-68?

1 year ago
OpenStudy (anonymous):

Yup 4x-68 and 2x+20 are the answer to B

1 year ago
OpenStudy (anonymous):

For C all you have to do is set them equal to each other because they are cocngruent

1 year ago
OpenStudy (pucusana):

what about c and d?

1 year ago
OpenStudy (pucusana):

and d?

1 year ago
OpenStudy (anonymous):

Well solve for x Isolate it from the rest and that is your answer as to what the side equals

1 year ago