CM = 20
CP = 12
All of the right triangles are similar by AA similarity, so corresponding side lengths are proportional. The ratio of the long leg to the short leg is the same for the two smaller triangles, for example:
CP/AP = MP/CP
CP/9 = 16/CP . . . . . fill in the given numbers
CP² = 9·16 . . . . . . . multiply by 9·CP
CP = 3·4 = 12 . . . . . take the square root
Now, you can use the Pythagorean theorem to find AC and/or CM.
AC = √(9² +12²) = √225 = 15
CM = √(12² +16²) = √400 = 20
In summary, CP = 12, AC = 15, CM = 20.
_____
Once you have CM, you can see these are 3-4-5 right triangles, so you can determine the other lengths by using these side ratios.
3:4:5 = 9:12:15 = 12:16:20
_____
The altitude CP is called the "geometric mean" of AP and MP. It is the square root of their product. This is true for any right triangle, not just one with sides in the ratio 3:4:5. If you know this, you can write down your answers almost immediately. Above, we had to derive this fact using similarity.
Answer:
4^2
Step-by-step explanation:2*2
Draw a graph which joins the points (100, 135) and (500, 375) and has a slope = 0.6
Draw a graph which joins the points (100, 135) and (500, 375) and has a slope = 1.67
Draw a graph which joins the points (135, 100) and (375, 500) and has a slope = 1.67
Answer:
Draw a graph which joins the points (100, 135) and (500, 375) and has a slope = 0.6
Step-by-step explanation:
Data
x: total minutes used
y: total monthly charges
x | y
100 | $135
500 | $375
That can be expressed as coordinates (x, y), so the points are (100, 135) and (500, 375).
The slope is computed with two points (x2, y2) and (x1, y1) as follows:
slope = (y2 - y1)/(x2 - x1)
Replacing with data
slope = (375 - 135)/(500 - 100) = 0.6