Answer:
12 in
Step-by-step explanation:
They just chose twelve
Answer:
x=70, y=55
Step-by-step explanation:
Since the angle "y" and 2x-15 form a straight line, that means the sum of the angles, must be 180 degrees.
So using this we can derive the equation: 
The next thing you need to know is that the sum of interior angles of a triangle is 180 degrees, so if we add all the angles, we should get 180.
So using these we can derive the equation: 
So, in this case we simply have a systems of equations. We can solve this by solving for x in the second equation (sum of interior angles), and plug that into the first equation.
Original Equation:

Subtract 2y from both sides

Now let's plug this into the first equation

Plug in 180-2y as x

Distribute the 2

Combine like terms

Subtract 345 from both sides

Divide both sides by -3

So we can plug this into either equation to solve for x

Substitute in 55 as y


Subtract 110 from both sides

The total monthly cost of the two companies will be the same for 30 texts.
<u>Step-by-step explanation:</u>
It is given that,
- The variables used here are x and y.
- y represent the total monthly cost.
we know that, x must represent the number of texts in a month.
The monthly texting plan of All Star Cell is $11 per month and $0.25 per text.
⇒ y = 11 + 0.25x --------(1)
The monthly texting plan of Top Line Cell is $14 per month and $0.15 per text.
⇒ y = 14 + 0.15x --------(2)
<u>To find the no.of texts for which the total monthly cost of the two companies be the same :</u>
⇒ Total cost of All Star Cell = Total cost of Top Line Cell
⇒ 11 + 0.25x = 14 + 0.15x
⇒ 0.25x - 0.15x = 14 - 11
⇒ 0.1x = 3
⇒ x = 3 / 0.1
⇒ x = 30 texts.
The total monthly cost of the two companies will be the same for 30 texts.
ANSWER
4x-4
EXPLANATION
The given equation is
16x-16=4(---?---)
To find the expression that makes the equation true, we need to factor 4 from 16x-16.
This implies that,

Hence the expression that makes the statement true is

The correct answer is option A.
A single line?? well i believe if you draw the 3 angle bisectors for the 3 angles of the triangle you can then inscribe your circle. But I am not sure if you mean only a single line and thats it.