Calculate the following expressionusing the order of operations. show all steps( do not combine more than two numbers together at a time) and write your answer as a mixed fraction if neccessary. show all steps for answer

(7/15 +125/9)2 - 16 multiplies* 0.25 divides 2

Step-by-step explanation:

Given the following expression:

You can follow these steps in order to solve the exercise:

1. You need to solve the operations inside the parentheses:

- Add the fractions. Since they have different denominators, you have to find the Least Comon Denominator (LCD):

- Solve the division divididing the numerator 0.25 by the denominator 2.

Then, you get:

2. Solve the exponent:

3. Solve the multiplication:

4. Solve the subtraction:

5. Since :

You can write the result as a mixed fraction:

answer:   the paragraph proof is mentioned below.

step-by-step explanation:

given: in a δxwy where

such that, ∠wzx ≅ ∠yzx and zw≅zy

we have to prove that: segment zx is a perpendicular bisector of segment wy.

prove: since, zw≅zy ⇒ ∠wzy is a supplementary angle.

then, ∠wzy= 180°

⇒∠wzx + ∠yzx = 180° ( because xz divides ∠wzy into two parts)

but, ∠wzx ≅ ∠yzx ( given)

⇒∠wzy+∠wzy=180° ( by substitution)

⇒2∠wzy=180°

⇒∠wzy=90°

⇒∠wzy=∠yzx =90°

therefore, xz⊥wy where wz=zy

⇒zx is a perpendicular bisector of wy.

parallel lines have the same slope. so if the green line has a slope of -4, the slope of the red line is also -4.