<u><em>Answer:</em></u>
x = 25
y = 14
<u><em>Explanation:</em></u>
The described scenario can be represented using the attached triangle.
<u>1- getting the value of x:</u>
We know that ΔABC is an isosceles triangle with AC = BC
<u>This means that:</u>
∠CAB = ∠CBA
We know that ∠CAB = 50° and ∠CBA = 2x°
<u>Equating the two angles, we get:</u>
50 = 2x .................> Divide both sides by 2
x = 25
<u>2- getting the value of y:</u>
We know that the sum of the internal angles of a triangle is 180°
<u>This means that:</u>
∠ABC + ∠CAB + ∠ACB = 180°
<u>We have:</u>
∠ABC = 2x = 50°
∠ACB = 5y + 10
∠CAB = 50°
<u>Now, we substitute to get the value of y as follows:</u>
50 + 50 + 5y + 10 = 180
110 + 5y = 180
5y = 180 - 110
5y = 70 .............> Divide both sides by 5
y = 14
Hope this helps :)
Answer: 1.
2. 
Step-by-step explanation:
The given division problems :


By long division (see the attachment)
1. Divisor= 2
Dividend =456
Quotient = 228
Remainder =0
So, 
2. Divisor= 7
Dividend = 538
Quotient =76.85
so, 
The first thing we are going to do for this case is define variables.
We have then:
x: number of days
y: number of pages remaining.
We write the linear equation that models the problem:

The intersection with the vertical axis is:
We evaluate x = 0:

We get the point:

The intersection with the horizontal axis is:
We evaluate y = 0:


We get the point:

Answer:
The graph is:

Graph located in the bottom left.
Answer:
C The system has no solution
Step-by-step explanation:
They are parallel lines so there is no solution :).