Given , ⊙A ≅ ⊙V
To find:
What congruency statements can you make? Check all that apply.
BC ≅ ZY
∠ DAB ≅ ∠ ZVX
BE ≅ ZX
Solution:
Consider the attached figure while going through the following steps.
If two circles are congruent, then their corresponding chords are also congruent along with the congruent intercepted arcs.
⇒ BC ≅ ZY
and
⇒ BE ≅ ZX
Answer:
x = 5
Step-by-step explanation:
Δ EAB and Δ EDC are similar by the AA postulate , so the ratio of corresponding sides are in proportion , that is
=
, substitute values
=
( cross- multiply )
10(x + 3) = 4(2x + 10 ) ← distribute parenthesis on both sides
10x + 30 = 8x + 40 ( subtract 8x from both sides )
2x + 30 = 40 ( subtract 30 from both sides )
2x = 10 ( divide both sides by 2 )
x = 5
The answer to the addition problem 15 + 37 = 52