Question

Find the value of a answers: a:15 b:14 c:19 d:16

Answer 1

Answer:

6a+10= 3a+55

6a-3a= 55-10

3a= 45

a= 45/3

a= 15

The answer is (A) 15

Hope this helps^°^

Answer 2

Answer:

A. 15

Step-by-step explanation:

The angles are vertical angles, therefore they are congruent. We can set the two measures equal to each other.

$6a+10=3a+55$

Now, solve for a. We must get a by itself on one side of the equation.

First, subtract 3a from both sides of the equation.

$6a-3a+10=3a-3a+55$

$(6a-3a)+10=55$

$3a+10=55$

Next, subtraction 10 to both sides of the equation. We subtract because 10 is being added to 3a. The inverse of addition is subtraction.

$3a+10-10=55-10$

$3a=55-10$

$3a=45$

3 and a are being multiplied. The inverse of multiplication is division. Divide both sides of the equation by 3

$3a/3=45/3$

$a=45/3$

$a=15$

The value of a is 15 and choice A is correct.