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dlinn [17]
3 years ago
12

The sum of three consecutive even number is 138. What is the smallest of the three

Mathematics
1 answer:
Temka [501]3 years ago
6 0

The sum of three consecutive even numbers is 138. What is smallest of the three numbers ?

Let the three consecutive even numbers be: n

n + 2 and n + 4

Therefore: n + n + 2 + n + 4 = 138

Combine like terms: 3n + 6 = 138

3n + 6 - 6 = 138 - 6

6 - 6 = 0

138 - 6 = 132

3n = 132

Divide each side by 3

3n/3 = 132/3

n = 44

Therefore the three consecutive even numbers are: 44, 46 and 48

Check: 44 + 46 = 90 + 48 = 138

Answer: 44

Hope this helps!

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AD || BC and BD is the transversal,

Therefore, angle DBC = angle ADB = 42° [alternate angles]

AD || BC and BD is the transversal,

angle BAD + angle ABD + angle DBC = 180° [co-interior angles]

or, 106°+ angle ABD + 42° = 180°

or, 148° + angle ABD = 180°

or, angle ABD = 180°-148° = 32°

Therefore, angle ABC = (32+42)° = 74°

AB||CD and BC is the transversal,

angle ABC + angle BCD = 180° [co-interior angles]

or, 72+2x+12 = 180

or, 84+2x = 180

or, 2x=180-84 = 96

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Answers: a)48°

b)42°

c)72°

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The measures of the angles of a triangle solve for X
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Answer:

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Step-by-step explanation:

Because this is a right triangle, one angle is a right angle (90°). All triangles have all three angle measures adding up to 180°, so the other two angles' measures add up to 90° (90 + 90 = 180).

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I hope this helped :)

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