Use the following figure and information to complete the proof.

Given: m∥n Line l is a transversal of lines m and n.

Prove: ∠3≅∠5

Match each numbered statement in the proof to its correct reason.

1. m∥n Line l is a transversal of lines m and n.

2. ∠3 and ∠1 are vertical angles.

3. ∠3≅∠1

4. ∠1 and ∠5 are corresponding angles.

5. ∠1≅∠5

6. ∠3≅∠5

Select an option

Given

Vertical Angles Theorem

definition of corresponding angles

transitive property of congruence

corresponding angles postulate

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step-by-step explanation:

$4

step-by-step explanation:

$30×5=$150

$150 minus $130=$20

$20÷5=$4.

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f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

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< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)