In the figure, ab¯¯¯¯¯ is parallel to de¯¯¯¯¯ . select from the drop-down menu to correctly complete the statement. triangle abc and triangle dec are a. similar b. nonsimilar

(A) Similar triangles

Step-by-step explanation:

It is given that AB is parallel to DE, therefore ∠CAB=∠DEC=65°(Alternate angles),

Then from ΔACB and ΔDCE, we have

∠CAB=∠DEC=65°(Alternate angles)

and ∠ACB=∠DCE=50°(Vertically opposite angles)

Thus, by AA similarity, ΔACB is similar to ΔDCE.

Hence, option A that is similar triangles is correct.

it is a. 4.2 because 7.6-3.4 gets the remaining length of 4.2. i might be wrong but i am pretty sure this is the answer.

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.