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m_a_m_a [10]
3 years ago
8

What is the solution to 5a-15+9a=3a+29

Mathematics
2 answers:
mart [117]3 years ago
5 0

Combine like terms:

5a + 9a - 15 = 3a + 29

14a - 15 = 3a + 29

Subtract 3 from both sides and add 15 to both sides to get constants on one side of the equal side and variables on the other.

14a - 3a = 29 + 15

Combine like terms again:

11a = 44

Divide by 11 on both sides to isolate the variable:

a = 44/11

a = 4

pogonyaev3 years ago
3 0

5a-15+9a=3a+29

We simplify the equation to the form, which is simple to understand

5a-15+9a=3a+29

We move all terms containing a to the left and all other terms to the right.

+5a+9a-3a=+29+15

We simplify left and right side of the equation.

+11a=+44

We divide both sides of the equation by 11 to get a.

a=4

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Answer:

a). m∠AED = 70°

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Step-by-step explanation:

a). Quadrilateral ABDE is a cyclic quadrilateral.

Therefore, by the theorem of cyclic quadrilateral,

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m(∠AED) + m(∠ABD) = 180°

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Since, ∠AED ≅ ∠EAD

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b). By triangle sum theorem in ΔABD,

m∠ABD + m∠BDA + m∠DAB = 180°

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By angle sum theorem in ΔACE,

m∠EAC + m∠AEC + m∠ACE = 180°

100° + 70° + x° = 180°

x = 180° - 170°

x = 10°

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3 years ago
Given a school supply store sells pencils for $2, pens for $4, and markers for $5. Write an expression for the total cost of 3 p
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