Answer:
The reason why linear pairs and vertical angles are used to prove lines are parallel is because they area transversal drawn through the parallel lines will form angles on each of the two parallel lines including;
1) Supplementary linear pairs and
2) Vertical angles
3) Alternate angles
Given that either;
a) The corresponding angles that form the linear pairs are congruent
b) The corresponding vertically opposite angles are congruent
c) The corresponding alternate angles are congruent, we have;
The two lines are said to be parallel.
Step-by-step explanation:
Answer:
1. 
Step-by-step explanation:
(This exercise is written in Spanish and therefore explanation will be held in such language)
El área de este polígono regular es la suma de las áreas de los 4 rectángulos y 2 cuadrados, es decir:


El cual corresponde con la opción 1.
Ƒ(x) = 2x and g(x) = 3x?
The question means at which points (or coordinates) f(x) & g(x) intercepts.
In this case you proceed as follows:
f(x) =g(x)==> 2x = 3x or 0 = x if x = 0 , y also =0 then both graphes passes through the origin O (0,0)
Answer:

Step-by-step explanation:
we know that
The dimensions of the rectangular backyard in the actual are 300 feet by 600 feet
The dimensions of the rectangular backyard in the blueprint are 30 units by 60 units
therefore
If the radius of the circular flower garden in the actual is 60 feet
then
the radius of the circular flower garden in the blueprint is 6 units
Find the center of the radius in the blueprint
Remember that the circular flower garden is in the center o the backyard
so
To find out the center, determine the midpoint of the rectangular backyard
C((0+30)/2,(0+60)/2)
C(15,30)
The equation of a circle in center radius form is equal to

where
(h,k) is the center
r is the radius
we have

substitute

