Answer:
ANGLE K IS 75 DEGREES
All the interior angles of a triangle ADD up to 180 degrees
lets add the angles!
6x-11+8x-29+3x-1
add like terms. all the x terms add up and all the constants as well
8x+6x+3x = 17x
-29-1-11 = -41
17x-41= 180 (-41 + 41 = 0 we do this to remove -41 from the left side of the equation to isolate x)
41+180 = 221
17x=221
221/17 = 13
x=13
so..
8 * 13 - 29 is the angle..
8*13 = 104
and 104-29 = 75
Angle K is 75 degrees! hope that helps..
Step-by-step explanation:
Yes I think it is correct.
> Last year the ratio of the number of middle school students
> to the number of high school students was 1:8.
1/9 x + 8/9 x = makeup of middle and high school students
> this year the ratio ... changed to 2:7
2/9 x + 7/9 x = x (again)
> there are 18 middle school students in the band this year
2/9 x = 18
2x = 9 * 18 → x = 81
Total = 81 in band ...
Last year:
1/9 and 8/9 = 9 and 72
This year
2/9 and 7/9 = 18 and 63
And from there you can figure out the changes:
+9 for middle school (which is increase from 1/9 to 2/9)
--9 for high school (which is decrease from 8/9 to 7/9)
Answer:
y + 3 = 1/2(x + 3)
Step-by-step explanation:
Point Slope Form: y - y1(y coordinate) = m(slope)(x - x1(x coordinate))
12h=w
because the 12 is the r and you multiply it by h to get w