A triangle has an angle that measures 60°. The other two angles are in a ratio of 5:7. What are the measures of those two angles?

hi there! lets see if i can help

so we know a triangle = 180 degrees so were left with 120. this means the other 2 angles represent 120

so now they are in a ratio of 5:7

5x and 7x

We attach the x to help us find the exact degrees of each angle.

So, in short5x + 7x = 120   Now, let's go solve.

12x = 120    we combined like terms

x = 12    now we will substitute this value into our two angles to find out exactly how many degrees they each are.

12x/10 = 100/10   we divide each side by 10

5x10=50

7x10=70

70+60=130

130+50=180!

we got it!!

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

is for x = 0. substitute:

y-intercept is 8 → point (0, 8).