**Answer:**

x = **30° **⇒ **(C)**

**Step-by-step explanation:**

If a ray intersects a line at the ray starting point, then

- A pair of linear adjacent angles are formed

- The sum of the measures of this pair of angles is 180°

∵ The FA intersects the line BE at point A

→ That means a pair of linear adjacent angles are formed, ∠BAF and ∠FAE

∴ m∠BAF and ∠FAE are linear adjacent angles

∴ **m∠AFB + m∠FAE = 180°**

∵ **m∠BAF = 2x°** ⇒ given

∵ **m∠FAE = 4x°** ⇒ given

→ Substitute these values in the equation above

∴ **2x + 4x = 180**

→ Add the like terms in the left side

∴ 6x = 180

→ Divide both sides by 6 to find the value of x

∴

∴ **x = 30°**

**Equation- p= 9+2m
**

Where p= no of pages read by victor

m=total time in minutes

Minutes(m) Pages Read(p)

0 9

1 11

2 13

3 15

4 17

m 9+2m

**Step-by-step explanation:**

As provided in the question Victor has already read 9 books. After that, he begins his bus journey where-in he reads at the rate of 2 words per minute.

Hence after “m” minutes, he would have read “2m” pages

So, total pages read by Victor**(p) = 2m+9
**

Drawing of coordinates-

Since at m=0 minutes, he has already read 9 pages (previous nights), thus coordinates would be (0,9)

Similarly, next coordinates would be (1,11) at m=1 minute where-in he would have read 9+2(11) pages and so on-

Coordinates-

**(0.9) (1,11) (2,13) (3,15) (4,17) (m,9+2m) after “m” minutes of travel
**

**Answer: - 1023**

**Step-by-step explanation:**

Given

Sequence is

The following sequence is a geometric series with common ratio

first term

**Answer:**

**Step-by-step explanation:**

Write down the equation and solve for x.

Best Regards!