:)
what is the value of x? round to the nearest tenth.
a circle with two chords is shown below. the diagram is not drawn to scale.

The correct answer is D. x = 11.1

Step-by-step explanation:

The two chords in the circle are intersecting with each other and are divided into two sub parts.

By Chord intersection theorem we have : If the two chords intersect with each other then the product of their corresponding sub parts is equal.

So, to find x :

⇒ 26 × 6 = x × 14

⇒ 14·x = 156

⇒ x = 11.1 units

Therefore, The correct answer is D. x = 11.1

{3 + i, 3 - i, 3, -1}

step-by-step explanation:

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.