Answer:
x = 200/3
Step-by-step explanation:
Apply Thales theorem, we have:
80/(2x) = 60/27
Let's simplify both sides:
40/x = 20/9
or
x/40 = 9/20
Multiplying both sides by 40, we have:
(40/40)x = (20/9)*40
Let's simplify one more time:
x = (20*40)/(9)
or
x = 200/3
Hope this helps!
1/3 = 8/24
1/4 = 6/24
An Answer to 31 is 7/24
0.89
0.90
An Answer to 32 is 0.895
-2/3
1/2
An Answer to 33 is -1/2
0.27 = 27/100
4/5 = 80/100
An Answer to 34 is 54/100 = 27/50
Answer:
- X'(5, 2)
- Y'(0, 1)
- Z'(-1, -4)
Step-by-step explanation:
The translation increases each x-coordinate by 3, moving the point 3 units to the right. It decreases each y-coordinate by 1, moving the point 1 unit down.
(x, y) ⇒ (x+3, y-1)
X(2, 3) ⇒ X'(5, 2)
Y(-3, 2) ⇒ Y'(0, 1)
Z(-4, -3) ⇒ Z'(-1, -4)
The red arrows show the translation of each point in the graph.
Answer:
P( sum is prime )= 73/216
Step-by-step explanation:
The minimum value of the sum will be 3 and maximum value will be 18. So the prime numbers in this range are 3 , 5, 7, 11, 13, 17.
P(sum=3)=1/216, P(sum=5)=6/216, P(sum=7)=15/216, P(sum=11)=27/216, P(sum=13)=21/216, P(sum=17)=3/216.
The final probability will be sum of the above given probabilities.
Hence P( sum is prime )= 73/216
