Answer:
look the photo
Step-by-step explanation:
..0000000000000000
Answer:
Age of Mark 
years
Age of Mark's dad 
years
Age of Mark's sister 
years
Step-by-step explanation:
Let age of Mark be 
years.
Mark's dad is three times older than Mark
Age of her Mark's dad 
Mark's sister is 2 years younger than Mark
Age of Mark's sister 
years
The sum of their ages is 48.
Age of Mark 
years
Age of Mark's dad 
years
Age of Mark's sister 
years
Answer:
c = 8.4m is the answer.
Step-by-step explanation:
a = 6m
b = 6m
c = ?
According to the Pythagorean theorem,
a² + b² = c²
6² + 6² = c²
36 + 36 = c²
c² = 72
c = 8.4m
∴ The mouse runs 8.4 m from the opposite corners of the room.
Reason 1: Given.
Reason 2: Vertical angles
Reason 3: Angle, Side, Angle(ASA)
19.8m²
Work:
First you split the shape into a rectangle and a triangle. So now you have a triangle with the sides 4 x 3.6 and a triangle with the sides 4 x 2.7.
Side note: 2.7 comes from subtracting 3.6 off of 6.3.
Rectangle:
A = lw
A = 4 (3.6)
A = 14.4m²
Triangle:
A = 1/2lw
A = 1/2 (4) (2.7)
A = 5.4m²
Then you add the areas of both the rectangle and the triangle together.
14.4 + 5.4 = 19.8m²
