Solve for a. 5 + 14a = 9a - 5

Mathematics

2 answers:

Radda [10]3 years ago

5 0

5 + 14a = 9a - 5

-9a -9a

5 + 5a = -5

-5 -5

5a = -10

$\frac{5a}{5} = \frac{-10}{5}$

a = -2

Answer: a = -2

stira [4]3 years ago

3 0

Since you are solving for a, you want to have a on one side of the equation and the other terms on another side of the equation. It would be easiest to have all the terms with a on the left side of the equation, so that is what we will do.

Subtract 9a from both sides to get a on the left side of the equation.

5 + 5a = -5

Subtract 5 from both sides of the equation to isolate the term with a.

5a = -10

Divide both sides of the equation by 5 to solve for a.

a = -2

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nekit [7.7K]

Answer:68.3 degrees

Step-by-step explanation:

The diagram of the triangle ABC is shown in the attached photo. We would determine the length of side AB. It is equal to a. We would apply the cosine rule which is expressed as follows

c^2 = a^2 + b^2 - 2abCos C

Looking at the triangle,

b = 75 miles

a = 80 miles.

Angle ACB = 180 - 42 = 138 degrees. Therefore

c^2 = 80^2 + 75^2 - 2 × 80 × 75Cos 138

c^2 = 6400 + 5625 - 12000Cos 138

c^2 = 6400 + 5625 - 12000 × -0.7431

c^2 = 12025 + 8917.2

c = √20942.2 = 144.7

To determine A, we will apply sine rule

a/SinA = b/SinB = c/SinC. Therefore,