Step-by-step explanation:
Your answers for 1 and 2 are correct. MN and LN are both radii of the circle, and therefore equal. And NK can be found using Pythagorean theorem.
To find LP (and PM), we can use similar triangles:
LN / NK = LP / LK
10 / 26 = LP / 24
LP ≈ 9.23
PM ≈ 9.23
LM ≈ 2 × 9.23 = 18.46
To find NP, we can again use similar triangles.
NP / NL = NL / NK
NP / 10 = 10 / 26
NP ≈ 3.85
NQ is a radius of the circle, so it is equal to 10. PQ is therefore:
PQ ≈ 10 − 3.85 = 6.15
As you found, QK = 26 − 10 = 16.
Before we find LR, let's find RK using similar triangles.
RK / QK = NK / LK
RK / 16 = 26 / 24
RK ≈ 17.33
LR ≈ 24 − 17.33 = 6.67
As you found, MK = 24.
And finally, MS = LR ≈ 6.67.
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Find the slope of the line AB.
<u>The slope:</u>
- m = (11 - 9)/(11 - 7) = 2/4 = 1/2
Since the altitude is perpendicular to AB, it has a slope of -2.
The line with the slope of -2 and passes through point C(6, 16).
<u>Use point-slope equation to find the line:</u>
- y - 16 = -2(x - 6)
- y - 16 = -2x + 12
- y + 2x = 16 + 12
- 2x + y = 28
A = 2, B = 1, C = 28
