Answer:
Since their corresponding angles are congruent and the corresponding sides are in proportion
Step-by-step explanation:
For ABD,
Sin (B) = (AD ÷ AB) =1
∴ AD = AB
and if AD = AB
⇒ AD = AC (since AD 1 CB).
From triangle ACD,
Sin(C) = (AD ÷ AC)
Since AD = AC , Hence Sin (B) = Sin (C) = 1
Also From definition of similar triangles ABD and ACD are Similar (i.e their corresponding angles are congruent and the corresponding sides are in proportion)
Answer:
r = 4
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to 5
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (7, r ) and (x₂, y₂ ) = (8, 9)
m =
=
= 9 - r = 5 ( subtract 9 from both sides )
- r = - 4 ( multiply both sides by - 1 )
r = 4
Answer:
d
Step-by-step explanation:
Answer:

Step-by-step explanation:
We have three similar triangles:

therefore the sides are in proportion:

We have AD = a, CD = 16 and BD = 4. Substitute:
<em>cross multiply</em>

and other proportion:

We have AB = b, BC = 16 + 4 = 20 and BD = 4. Substitute:
<em>cross multiply</em>

Answer:
0.17
Step-by-step explanation: