**The Given Triangle PMO is a Right Angled Triangle with m∠M = 90°**

**Given m∠P = 40°**

**We know that : Sum of Angles in a Triangle = 180°**

**⇒ m∠P + m∠M + m∠O = 180°**

**⇒ 40° + 90° + m∠O = 180°**

**⇒ 130° + m∠O = 180°**

**⇒ m∠O = 180° - 130°**

**⇒ m∠O = 50°**

**We can notice that m∠O and m∠1 form a Linear Pair (180°)**

**⇒ m∠O + m∠1 = 180°**

**⇒ 50° + m∠1 = 180°**

**⇒ m∠1 = 180° - 50°**

**⇒ m∠1 = 130°**

**Last Option is the Answer**

Answer:

Step-by-step explanation:

it’s the third one

**Answer:**

Length: 5 ft; width: 4 ft.

**Step-by-step explanation:**

A = LW formula for area of rectangle

(2x + 1)(2x) = 20 substitute length, width, and area into formula

4x² + 2x - 20 = 0 use the distributive property to multiply out left side

2x² + x - 10 = 0 divide both sides of equation by 2

(2x + 5)(x - 2) = 0 factor out trinomial

2x + 5 = 0 or x - 2 = 0 use zero product rule to solve for x

2x = -5 or x = 2 subtract 5 from both sides; add 2 to both sides

x = -5/2 or x = 2

We discard x = -5/2 since it would give negative length and width, and the length and width cannot be negative.

Length: 2x + 1 = 2(2) + 1 = 5

Width: 2x = 2(2) = 4

Length: 5 ft; width: 4 ft.

**Answer:**

For the first 30 minutes, we will have a line with a given steepness, this will represent the 30 minutes riding at a fast pace.

Then he stops for 20 minutes, we will represent this with a constant line.

Then he again moves for another 30 minutes, but with a slower pace than in the first 30 minutes, then this line will be less steep than the first line.

A sketch of this situation can be seen below.

23

1 day is equal to 0.14285714 weeks, so multiply that by the number of days.