Answer:
D
Step-by-step explanation:
Put m+2 in place of 'x'
(m+2)^2 + 1 <======expand
m^2 + 4m + 4 + 1 =
m^2 + 4m + 5
Adjacent angles :
IGJ and IGH
KGL and LGM
vertical angles :
JGK and HGM
IGJ and MGL
hope this helps
Answer:
x = √53
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only] Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
<u>Step 1: Define</u>
We are given a right triangle. We can use PT to solve for the missing length.
<u>Step 2: Identify Variables</u>
Leg <em>a</em> = 6
Leg <em>b</em> = <em>x</em>
Hypotenuse <em>c</em> = √89
<u>Step 3: Solve for </u><em><u>x</u></em>
- Set up equation: 6² + x² = (√89)²
- Isolate <em>x</em> term: x² = (√89)² - 6²
- Exponents: x² = 89 - 36
- Subtract: x² = 53
- Isolate <em>x</em>: x = √53
Answer:
30 degrees.
Step-by-step explanation:
We are going to use two theorems: Triangle Sum Theorem and Vertical Angles Theorem. Please let me know if you need me to define them.
Here is how I solved this problem:
75+75 = 150.
180-150 = 30(Triangle Sum theorem)
x = 30(Vertical Angles theorem.)
