Answer:

∠3 = 18°

∠4 = 144°

∠2 = 36°

∠1 = 72°

Step-by-step explanation:

From the concept of alternate interior angles,

∠3 = 18°

Since the diagonal divides the rectangle into 4 parts with 2 of the rectangles being similar.

Then, the triangle with ∠3 & ∠4 is an Isosceles triangle and as such;

∠4 = 180 - 2(∠3)

∠4 = 180 - 2(18)

∠4 = 180 - 36

∠4 = 144°

∠2 = 180 - ∠4 (because sum of angles on a straight line is 180°)

∠2 = 180 - 144

∠2 = 36°

Like it was done for angle ∠4 above;

∠1 = (180 - 36)/2

∠1 = 144/2

∠1 = 72°

**Answer:**

the answer of x is equal to200

Subtract to get your answer.

So, 3 1/6- 1 4/6

Make improper fractions so easier to subtract

19/6-10/6=9/6= 1 3/6

So your answer is A.

(It couldn’t be D because that’s more than you even started with.)

**Answer:**

y = 1.25

**Step-by-step explanation:**

**Use the direct variation equation y = kx, and solve for k:**

y = kx

-10 = k(40)

-0.25 = k

**So, the equation is y = -0.25x. Solve for y when x = -5**

y = -0.25x

y = -0.25(-5)

y = 1.25

So, **y = 1.25 **when x = -5