Answer:
23 units
Step-by-step explanation:
Use the distance formula: d = 
Plug in the 2 points:
d = 
d = 
d = 23
So, the distance is 23 units
1,000(x - 2) = 75,000 |divide both sides by 1,000
x - 2 = 75 |add 2 to both sides
x = 77
Answer:
C
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 )
To calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (2, - 4) and (x₂, y₂ ) = (0, 8)
m =
=
= - 6
note the line passes through the point (0, 8) ⇒ c = 8
y = - 6x + 8 → C
Answer:
Step-by-step explanation:
We have given a parallelogram ABCD.
For a parallelogram,
Opposite pair of sides are parallel to each other.
i.e AD is parallel to BC and AB is parallel to CD.
From the attached figure,
∡1 = ∡4 and ∡2 = ∡3 {If two parallel lines cut by a transversal line then alternate interior angles are congruent }
Next, AC ≅ AC {Reflexive identity}
hence, ΔABC ≅ ΔCDA , By Angle-Side-Angle(ASA) congruent property of triangle.
Therefore, AB = CD and AD = BC {Proved}
J Is the answer, (x+6)(x-3) is the equivalent