M1 = 65°
M2= 75°
all three angles is 180°
M7 = 40°
7 and 6 are identical angles corresponding
M6= 40°
You know from similar triangles that ...
KM/KO = LM/LN
(20 +x)/12 = x/8
Multiplying by 24, we get
2(20 +x) = 3x
40 +2x = 3x
Subtracting 2x, we get
40 = x . . . . . . . . . . the measure of LM
The Pythagorean theorem tells us
(LN)² +(NM)² = (LM)²
Substituting known values, this becomes
8² +(NM)² = 40²
(NM)² = 40² -8² = 1600 -64 = 1536
Then the measure of NM is ...
NM = √1536 ≈ 39.19
Answer:
Option B is correct, i.e. 30 ways.
Step-by-step explanation:
Given that there are 6 runners at a competition. So it means n = 6.
It says 2 medals are awarded for first and second place. So it means r = 2.
Each medal is different, it means the order matters here. It is the case of Permutations, so we will use nPr formula.
Total number of ways = 6P2 = 6x5 = 30.
Hence, option B is correct, i.e. 30 ways.
I’m pretty sure you’re right. hope this helps:)
A rotation of 180 degrees clockwise is
(x,y) goes to (-x,-y) even for counterclockwise