Step-by-step explanation:
<h3><u>Note</u>
: </h3>
The text below that are formatted in bold and underlined font are the solutions to the missing boxes in your given problem.
<h3><u>
Explanation:</u></h3>
Given that ∠1, ∠2, ∠3, and ∠4 are formed by two intersecting segments, and that:
∠1 and ∠2 form a linear pair
∠2 and ∠3 form a linear pair
These linear pair relationships suggest that by the Linear Pair Postulate:
<u>∠1 and ∠2 are supplementary</u>. ⇒ Linear Pair Postulate
<u>∠2 and ∠3 are supplementary</u>. ⇒ Linear Pair Postulate
m∠2 + m∠ 3 = 180° ⇒ <u>Definition of supplementary angles</u>.
<u>m∠1 + m∠3 = m∠2 + m∠ 3</u> ⇒ Substitution Property of Equality.
m∠1 = m∠3 ⇒ <u>Subtraction Property of Equality</u>.
Answer:
P(1, π/4)
P(-1, π/4)
P(4, 5π/6)
P(-4, 5π/6)
Step-by-step explanation:
Knowing the formulas
r = √(x²+y²)
θ = Arctg (y/x)
we have
a) P(1, 1)
i)
r = √(1²+1²) = +1
r = +1
θ = Arctg (1/1) = π/4
P(1, π/4)
ii) r = √(1²+1²) = -1
r = -1
θ = Arctg (1/1) = π/4
P(-1, π/4)
b) P(2√3, -2)
i)
r = √((2√3)²+(-2)²) = +4
r = +4
θ = Arctg (-2/2√3) = 5π/6
P(4, 5π/6)
ii)
r = √((2√3)²+(-2)²) = -4
r = -4
θ = Arctg (-2/2√3) = 5π/6
P(-4, 5π/6)
Answer:
G. 0.08
Step-by-step explanation:
It is actually 0.8 but putting a zero before 8 is fine.
0.0008=0.8
0.8000=X
Answer:
2x + y - 1 = 0
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
x - 2y + 4 = 0 ( subtract x + 4 from both sides )
- 2y = - x - 4 ( divide all terms by - 2 )
y = 
x + 2 ← in slope- intercept form
with slope m =
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= - 
= - 2 , thus
y = - 2x + c ← is the partial equation of the perpendicular line
To find c substitute (1, - 1) into the partial equation
- 1 = - 2 + c ⇒ c = - 1 + 2 = 1
y = - 2x + 1 ← in slope intercept form
Subtract - 2x + 1 from both sides
2x + y - 1 = 0 ← in general form
