Answer:
5.3
Step-by-step explanation:
Since they are similar triangles, we assume the ratio between AM/AN is equal to the ratio between MB/NC.
AM/AN = 6/8 = 3/4
If MB is 4
3/4 = MB/NC = 4/NC
3/4 = 4/NC
3NC = 16
NC = 16/3
16/3 = 5.333333
Answer: B' (5,8), C' (3,1)
Step-by-step explanation:
You can use the points A' (-1,8) and A (-2,-3) to find how many units point A was translated.
-2 + 1 = -1
-3 + 11 = 8
Then, you simply add 1 to the x-values of points B and C and 11 to the y-values of points B and C to get B' (5,8), C' (3,1).
I hope this helps!
Step-by-step explanation:
-(-3x-5)=7x
3x+5=7x
4x=5
x=5/4
456÷100=4.56
How to check your work: 456÷4.56=100
Answer:
Option D. 3.73
Step-by-step explanation:
we know that

and

step 1
Find cos(X)
we have

we know that

substitute




step 2
Find tan(x)

substitute

step 3
Find sin(y)
we have

we know that

substitute




step 4
Find tan(y)

substitute

step 5
Find tan(x+y)

substitute
![tan(x+y)=[1/\sqrt{3}+1}]/[{1-1/\sqrt{3}}]=3.73](https://tex.z-dn.net/?f=tan%28x%2By%29%3D%5B1%2F%5Csqrt%7B3%7D%2B1%7D%5D%2F%5B%7B1-1%2F%5Csqrt%7B3%7D%7D%5D%3D3.73)