Answer:
x = 25
Step-by-step explanation:
4x+50 and 150 are vertical angles which means they are equal.
4x+50 =150
Subtract 50 from each side
4x+50-50 = 150-50
4x = 100
Divide each side by 4
4x/4 = 100/4
x = 25
If Sin 60 = √3 / 2
Then, Cos 60 = ?
Well, we know :
Sin^2x + Cos^2x = 1
Let X = 60°
That is,
Sin^2(60) + Cos^2(60) = 1
(√3 / 2)^2 + Cos^2(60) = 1
3 / 4 + Cos^2(60) = 1
Cos^2(60) = 1 - 3/4
Cos^2(60) = 4/4 - 3/4
Cos^2(60) = (4-3)/4
Cos^2(60) = 1/4
Cos(60) = √(1/4)
Cos(60) = √1 / √4
Cos(60) = 1 / 2
This's answer right to the your question.
Answer:
y - 3 = -1/2(x + 2)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Slope Formula: 
Point-Slope Form: y - y₁ = m(x - x₁)
Step-by-step explanation:
<u>Step 1: Define</u>
Point (-2, 3)
Point (6, -1)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:

- Subtract/Add:

- Simplify:

<u>Step 3: Write linear equation</u>
Point-Slope Form: y - 3 = -1/2(x + 2)