AD = 42-x
The bisector of an angle of a triangle divides the opposite side into segments that are proportional to the adjacent sides ⇒
AB/BC = AD/DC
36/27 = (42-x)/x
36x = 27(42-x)
36x = 1134 - 27x
36x + 27x = 1134
63x = 1134
x = 1134/63
x = 18
Answer:
x = 19.42
Step-by-step explanation:
8²+x²=21²
64+x²=441
-64 -64
x²=377
x=19.41648784
rounded is 19.42
You can rewrite the inequality as

Note that

is the equation of the line drawn in the pictures. This means that, for every point on the line, the y coordinate is exactly image of the x coordinate, i.e. 
The inequality is satisfied by all points whose y coordinate exceeds the image of the x coordinate. Since the y axis is positively oriented upwards, a greater value for the y coordinate means that the point has to be higher than the line.
Also, since the equality inlves a
and not a
sign, the line itself is excluded.
So, the correct graph is the second one.
Answer:
A. -45
Step-by-step explanation:
multiplying a positive an a negative number gives out a negative result
so when we multiple 9 with -5 the result is -45
Answer:
1 1/2
Step-by-step explanation:
2 2/3 - 1 1/6 = ?
The LCD here is 6. Convert 2 2/3 so that the denominator is 6:
2 2/3 = 2 4/6
Then subtract 1 1/6 from 2 4/6: We get 1 3/6, or 1 1/2