i think it is D...........................................
Answer:
it would be the second option.
Answer/Step-by-step explanation:
Since ∆PHS ≅ ∆CNF, therefore:
<P ≅ <C,
<H ≅ <N
<S ≅ <F
Thus:
Since, <P ≅ <C, therefore,
36° = (4z - 32)°
36 = 4z - 32
Add 32 to both sides
36 + 32 = 4z
68 = 4z
Divide both sides by 4
68/4 = z
17 = z
z = 17
Since <H ≅ <N, therefore:
6x - 29 = 115°
Add 29 to both sides
6x = 115 + 29
6x = 144
Divide both sides by 6
x = 114/6
x = 24
m<F + m<C + m<N = 180° (sum of ∆)
(3y - 1) + (4z - 32) + 115 = 180 (substitution)
Plug in the value of z and solve for y
3y - 1 + 4(17) - 32 + 115 = 180
3y - 1 + 68 - 32 + 115 = 180
3y + 150 = 180
Subtract 150 from both sides
3y = 180 - 150
3y = 30
y = 10
Answer:
The answer is "Option c".
Step-by-step explanation:
Please find the complete question and its solution in the attached file.
Total number of cyclists = 5
And total number of prizes = 3
We have to find number of different ways can the 3 prizes be awarded .
For the first price , we have 5 options, for the second prize, we have 4 options and for the third prize, we have three options.
So total number of ways are