Answer:
1. Noah should draw a line from the left end of the 4 cm line up till it hits the angled line.
2. Noah could flip the triangle
Step-by-step explanation:
D
is certainly wrong. You could extend the length of AD as far as you want and the two triangles (ABD and ACD) would still be congruent.
C
is wrong as well. The triangles might be similar, but they are more. They are congruent.
B
You don't have to prove that. It is given on the way the diagram is marked.
A
A is your answer. The two triangles are congruent by SAS
Answer:
A
Step-by-step explanation:
4.22
Answer:
The number of permutations of the group of letters given (J, K, L, M, N, O and P) is 7! = 7 . 6 . 5 . 4 . 3 . 2 . 1 = 5,040.
Step-by-step explanation:
The number of permutations without repetition is the number of possible sequences that can occur if we take the letters one by one and is calculated with the factorial of the total number of letters in the group.
Before starting we have 7 possibilities, one for each letter. Once the first letter is chosen randomly, we will have 6 possibilities, after taking the third letter we will have 5 possibilities, and so on.
In total the total number of possibilities to obtain the 7 letters in a certain order are 7 by 6 by 5 by 4 by 3 by 2 by 1, sayed in other words factorial of 7 (7!). The result of the multiplication gives 5,040.
In short we can get the seven letters in 5,040 different sequences.
Answer:
7x - 8y = -23
Slope = 1.750/2.000 = 0.875
x - intercept = -23/7 = 3.28571
y - intercept = 23/8 = 2.87500
7x - 7y = -14
Slope = 1
x - intercept = -2/1 = -2.00000
y - intercept = 2/1 = 2.00000
