Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
<u>Algebra II</u>
- Distance Formula:

Step-by-step explanation:
*Note:
The distance formula is derived from the Pythagorean Theorem.
<u>Step 1: Define</u>
<em>Identify</em>
Point (5, 10)
Point (10, 12)
<u>Step 2: Find distance </u><em><u>d</u></em>
- Substitute in points [Distance Formula]:

- [√Radical] (Parenthesis) Subtract:

- [√Radical] Evaluate exponents:

- [√Radical] Add:

[] Similar
-> The triangles are similar because they were "mirrored" by the...
[] SSS
-> ... by the SSS similarity theorem, the sides are...
[] Proportional
-> ... the sides are proportional.
[] AB/AC
-> Since the sides are proportional, dividing corresponding sides will leave us with the same number
[] For the last two I think I am missing some information as I do not have any numbers and know where they got 85 from.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Things to remember the sum of the measures of the interior and exterior angles at each vertex is 180 (supplementary angles)
add and equal to 180
3x-5+5x+17= 180
8x+12=180
8x= 168
x=21
substitute in the algebraic expression for exterior angle
3(21) -5=
63-5=58
58 degrees is the exterior angle
hope this helps
Of means multiplication
So

And then simplify the numerator ad denominator
=

And simplify the numerator and denominator again
=

And we are finally left with the answer which is