The temperature in nome, alaska, was -50 °f. this was 18 °f less than
the temperature in anchorage, alaska, on the same day. what was the
temperature in anchorage?

The  temperature in Anchorage was -32°F

Step-by-step explanation:

Let

x ----> the temperature in Nome, Alaska in Fahrenheit degrees

y ----> the temperature in Anchorage, Alaska in Fahrenheit degrees

we know that

To find out the temperature in Anchorage, adds 18 Fahrenheit degrees to the temperature in Nome

so

----> equation A

we have

substitute the value of x in the equation A and solve for y

therefore

The  temperature in Anchorage was -32°F

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.