The sum of a number (n) and 14 is 72. Which equation shows this relationship

2 answers:

7 0

This problem states that we need to find the value of 'n'. To make an equation out of this simply put the 'n' (or x, if you prefer) where that value would normally go.

Doing this gives you: n + 14 = 72

I know you don't need this but for reference, 'n' would equal 58 in this problem.

NemiM [27]3 years ago

6 0

I believe the answer is N+14=72

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Likurg_2 [28]

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andre [41]

Value of x is 35°

Step-by-step explanation:

Step 1: Since the line segment is a perpendicular bisector, the angle formed is equal to 90° and two triangles are also formed.

Find x using the property of triangles that sum of angles of a triangle is 180°

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We know that side NM is parallel to side XZ. If we consider side NY the transversal for these parallel lines, we create angle pa

Likurg_2 [28]

See the picture attached.

We know:
NM // XZ
NY = transversal line
∠YXZ ≡ ∠YNM

1) We know that ∠XYZ is congruent to ∠NYM by the reflexive property.

The reflexive property states that any shape is congruent to itself.
∠NYM is just a different way to call ∠XYZ using different vertexes, but the sides composing the two angles are the same.
Hence, ∠XYZ ≡ ∠NYM by the reflexive property.

2) ΔXYZ is similar to ΔNYM by the AA (angle-angle) similarity theorem

The AA similarity theorem states that if two triangles have a pair of corresponding angles congruent, then the two triangles are similar.
Consider ΔXYZ and ΔNYM:
∠YXZ ≡ ∠YNM
∠XYZ ≡ ∠NYM
Hence, ΔXYZ is similar to ΔNYM by the AA similarity theorem.