Answer:
x = 77
y = 72
z = 31
Step-by-step explanation:
The formula for the Perimeter of triangle XYZ = x + y + z
From the question:
x + y + z = 180
In the triangle, x is 5 greater than y,
x = y + 5
y is 21 less than three times z
y = 3z - 21
3z = y + 21
z = y + 21/3
Hence:using substitution
x + y + z = 180
y + 5 + y + y/3 + 21/3 = 180
2y + y/3 + 5 + 21/3 = 180
2y + y/3 = 180 - ( 5 + 21/3)
2y + y/3 = 180 - (5 + 7)
2y + y/3 = 180 - 12
2y + y/3 = 168
Multiply both sides by 3
2y × 3 + y/3 × 3 = 168 × 3
6y + y = 504
7y = 504
y = 504/7
y = 72
Solving for x
x = y + 5
x = 72 + 5
x = 77
Solving for z
z = (y + 21)/3
z = (72 + 21)/3
z = 93/3
z = 31
Therefore,
x = 77
y = 72
z = 31
Answer:
0.81
Step-by-step explanation:
P(success) = 0.9
P(failure) = 1 - 0.9 = 0.1
Binomial probability:
P(X=n) = nCr (0.9)^n (0.1)^r
Here, n=2 and r=0:
P(X=2) = ₂C₀ (0.9)² (0.1)⁰
P(X=2) = 0.81
Hello there! ;) The way you solve this type of problem is you must find common denominators. So simplify 13/3= 4 1/3. So we can do 1/3*5/5=5/15. Next we must do 3/5*3/3= 9/15. So add 5/15+9/15= 14/15. And add the 4+ 14/15= 4 14/15. So then you must subtract 15 - 4 14/15= 10 1/15 I believe. I believe 10 1/15 is the remainder of the rope. You might want to check in with someone else though.
Hope I help! :D
I think is A or b go try it am not 100% sure
Answer:
9) shifted down 2
10) shifted right 4
11) more wider
12) more narrow
Step-by-step explanation:
