The triangles ABD, ADC and ABC are similar (AA stands for "angle, angle" and means that the triangles have two of their angles equal).
If two triangles have two of their angles equal, the triangles are similar.
Therefore the sides of triangles are in proportion.
cross multiply
Use the Pythagorean theorem for calculate x:
Answer:
that is the solution to the question
Answer:
y = x
Step-by-step explanation:
The equation of a linear pattern has the form
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (1, ) and (x₂, y₂ ) = (2, 1) ← 2 ordered pairs from the table
m = =
, thus
y = x + c ← is the partial equation
To find c use any ordered pair from the table and substitute into the partial equation.
Using (2, 1) , then
1 = 1 + c ⇒ c = 1 - 1 = 0
y = x + 0 ← equation for pattern or quite simply
y = x
