Answer:
Step-by-step explanation:
The midpoint is essentially a point with the average of the 2 x-coordinates and the 2 y-coordinates.
The formula is:
We are given two points: A (7,0) and B (0, 3). Remember points are written as (x, y).
Therefore,
Substitute the values into the formula.
Solve the numerators first.
The midpoint can be left like this because the fractions are reduced, but it can be written as decimals too.
Let Daniel's age be 'x' years , hence, Lisa's age is (x - 5) years. Let Grandma's age be 'y' = 54 years.
Hence,
x(x - 5) = 2/3 × y
x² - 5x = 2 × 54 years / 3
x² - 5x = 36 years
x² - 5x - 36 = 0
∆ = (-5)² - 4(1)(-36) = 25 + 144 = 169
√∆ = √169 = 13
x1 = (5+13)/2, x2 = (5-13)/2
x1 = 9, x2 = -4
Since, age can't be negative,
Daniel's age = x = 9 years.
Answer:
11m
Step-by-step explanation:
2(5m)+m=10m+m=11m
Answer:
#1 is the AA postulate
Step-by-step explanation:
It is the AA postulate because both triangles have congruent angles, making the triangles similar.
