M<J = m<N ( alternate angles)
m<K = m<M ( alternate angles)
so the third angles must also be equal ( total 180 degrees in each triangle)
Therefor the triangles are similar
Answer:
x=-6
Step-by-step explanation:
Let x be the number
3x = x^2 -54
Subtract 3x
3x-3x = x^2 -3x-54
0 = x^2 -3x-54
Factor
What 2 numbers multiply to -54 and add to -3
-9*6 = -54
-9+6 = -3
0=(x-9) (x+6)
Using the zero product property
x-9=0 x+6=0
x=9 x=-6
The questions asks for the negative solution
x=-6
26+0.08x=8+0.13x
26-8=0.13x-0.08x
18=0.05x
x=18/0.05=360 min
Its classified as an Integer
Answer:
17.5
Step-by-step explanation:
formula:
y=k(x)
direct variation^^^
y=7, x=2
substitute it in the formula
7=(k)2 or 7=2k
7/2 or 3.5= k, k is the constant
now substitute k to the problem
y=5k
y=5(3.5)
y=17.5