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:
D.f(x)=2x-9and g(x)=X+9/2
Answer:
L (1, - 7 )
Step-by-step explanation:
give endpoints (x₁, y₁ ( and (x₂, y₂ ) then the midpoint is
( 
, 
)
here (x₁, y₁ ) = K (9, - 7 ) and (x₂, y₂ ) = L (x, y )
use the midpoint formula and equate to corresponding coordinates of M
= 5 ( multiply both sides by 2 to clear the fraction )
9 + x = 10 ( subtract 9 from both sides )
x = 1
and
= - 7 ( multiply both sides by 2 )
- 7 + y = - 14 ( add 7 to both sides )
y = - 7
Then L = (1, - 7 )
2x+10, multiply to two each term x and 5
Answer:
59 cups ;
10 cups
Step-by-step explanation:
Given that he fitted model :
c = 2t - 89
Where, c = cups of lemonade sold ; t = high temperature
On a day when high temperature is 74 degrees ; cups of lemonade sold
Hence,
c = 2t - 89
c = 2(74) - 89
c = 148 - 89
c = 59 cups
Sunday is expected to be 5 degree warmer than on Saturday :
The number of cups sold on Sunday using the fitted model should be :
Difference in temperature between Saturday and Sunday multiplied by the slope value
Slope value from the model = 2
Temperature difference = 5
Difference in Number of cups :
2 * 5 = 10 cups
Number of lemonade sold on Sunday will be 10 cups more than that sold on Saturday
