The length of OM is 4/3 the length of OJ, and the length of ON is 4/3 the length of OK. Thus, two pairs of sides from the triangles are proportional to each other.
Also, angle O from one of the triangles is equal to angle O of the other triangle because they are the same angle.
Thus, the two triangles are similar by SAS (side-angle-side) similarity theorem. This theorem is quite similar to the SAS congruence theorem.
To make a similarity statement, we just have to match corresponding parts when naming the triangle.
Similarity statement: ΔOJK~ΔOMN
Answer:
Step-by-step explanation:
Considering the complete question attached in figure.
Consider
Hadley = x
Parker = y
Greenville = z
Distance between Greenville and Parker = yz = 29
Given that distance between Hadley and Greenville is 13 miles less than the distance between Parker and Greenville.
xz = yz -13 --- (1)
Distance between hardley and greenville = xz = ?
From (1)
xz = 29 -13
xz = 16 miles
So Alan is right that distance between Hadley and Greenville is 16 miles
70: 1,2,5,7,10,14,35,<span>70
20: 1,2,4,5,10,20</span>
Answer:
y = 6·sin(3·(x - 1)) + c
Step-by-step explanation:
The general form of an equation for a sinusoidal function is presented ad follows;
y = a·sin(b·(x - h) + c
Where;
a = The amplitude of the equation
T = The period = 2·π/b
h = The phase shift
c = The vertical shift
From the question, we have;
a = 6,
2·π/3 = 2·π/b
∴ b = 3
h = 1
We get;
y = 6·sin(3·(x - 1)) + c.
