Answer:
C. Draw a ray
Step-by-step explanation:
The first step in constructing an angle - or copying one - is to draw a ray. Then, you will use a protractor, compass, straightedge, etc.
Answer:
m∠LMN = 29°
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Set up equation</u>
m∠LMN and m∠NMP must add up to m∠LMP
(2x - 1)° + (5x + 3)° = 107°
<u>Step 2: Solve for </u><em><u>x</u></em>
- Combine like terms: 7x + 2 = 107
- Isolate <em>x</em> term: 7x = 105
- Isolate <em>x</em>: x = 15
<u>Step 3: Find m∠LMN</u>
- Define: m∠LMN = (2x - 1)°
- Substitute in <em>x</em>: m∠LMN = (2(15) - 1)°
- Multiply: m∠LMN = (30 - 1)°
- Subtract: m∠LMN = 29°
Let's say Miles Carlos drove = x and taook time = t1
Miles <span>Maria drove = y and took time = t2
But the total mile both drove = 233 and took time = 4.4 hrs
So , x + y = 233
t1 + t2 = 4.4
However, speed = distance / time
for Carlos, 55 = x / t1
for Maria, 50 = y / t2
</span><span>x + y = 233
</span><span>55 t1 + 50 t2 = 233
</span><span>t1 + t2 = 4.4
</span>50 t1 + 50 t2 = 220
5 t1 = 13
t1 = 2.6 hrs for Carlos
t2 = 1.8 hrs
Therefore Maria drove 4.4 hrs
