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:
h=-7
Step-by-step explanation:
-4(-6h - 7) = 9h + 10h - 7
24h+28=19h-7
Both side -28
24h+28-28=19h-7-29
24h=19h-35
Both side -19h
24h-19h=19h-19h-35
5h=-35
h=-7
Answer:
3x+1/2x
Step-by-step explanation:
When simplifying algebraic expressions, we should first factorise each term fully to find any common factors. First we should factorise the numerator where 3x2-8x-3 factorises to (3x+1)(x-3). Next, we should factorise the denominator where 2x2-6x factorises to 2x(x-3). Now we see that (x-3) is the highest common factor of both the numerator and denominator, hence we can "cancel" the (x-3) term from both the numerator and denominator. Therefore, the expression simplifies fully to (3x+1)/(2x)
9 people because you subtract 50 from 100 then divide 50 divided bt 5.50. its not a flat out number so you have to round down to 9.