Two figures are congruent if and only if there exists one or more rigid motions which will map one figure onto the other.
1. Triangles ABC and MNP are not congruent.
2. Triangles ABC and EFG are not congruent
3. Triangles ABC and STU are congruent.
4. Triangles EFG and MNP are congruent.
5. Triangles EFG and STU are not congruent.
6. Triangles STU and MNP are not congruent.
I can help you what problem??
Well, volume is: length x width x height
so, 5 x 14 x 8= 560 inches
Step-by-step explanation:
We need to use the binomial theorem/Pascal's triangle here.
(a+b)^5 = (5 choose 0)a^5 + (5 choose 1)a^4*b + (5 choose 2)a^3*b^2 + (5 choose 3)a^2*b^3 + (5 choose 4)a*b^4 + (5 choose 5)b^5.
5 choose 0 = 1
5 choose 1 = 5
5 choose 2 = 10
5 choose 3 = 10
5 choose 4 = 5
5 choose 5 = 1
And 1, 5, 10, 10, 5, 1, is the (5+1) = 6th row of pascal's triangle.
Therefore we get
g^5 + 5g^4*2 + 10g^3*2^2 + 10g^2*2^3 + 5g*2^4 + 2^5
which is
g^4 + 10g^4 + 40g^3 + 80g^2 + 80g + 32
Or, you could do the slow way, by just doing (g+2)(g+2)(g+2)(g+2)(g+2)
Hi there!
The answer would be B. The number 3 was rolled 5 times in 36 trials.
This shows that out of all 36 times the dice was rolled the number 3 faced upwards 5 times.
Hope this helps !
