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Sindrei [870]
3 years ago
10

Formulas and Literal Equations

Mathematics
1 answer:
miskamm [114]3 years ago
7 0

Answer:

x = 23

Step-by-step explanation:

Given, \frac{x - 5}{2} = 9, solve for x.

Multiply both sides by 2

\frac{x - 5}{2} \times 2 = 9 \times 2

x - 5 = 18

Add x to both sides

x - 5 + 5 = 18 + 5

x = 23

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maria [59]

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

or, x = 48

Answers: a)48°

b)42°

c)72°

3 0
3 years ago
the volume of a triangular prism is V=1/2abh, where a is the altitude or height of the triangle, b is the base of the triangle a
Vedmedyk [2.9K]

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Answer:

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Step-by-step explanation:

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  V = (abh)/2

  h = 2V/(ab)

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3 years ago
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Step-by-step explanation:

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Answer:

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